Cincotta, Pablo M.; Giordano, Claudia M.; Simó, Carles Numerical and theoretical studies on the rational standard map at moderate-to-large values of the amplitude parameter. (English) Zbl 1526.37090 Regul. Chaotic Dyn. 28, No. 3, 265-294 (2023). Reviewer: Mohammad Sajid (Buraydah) MSC: 37M25 37M21 37E30 37A05 37J11 65P40 PDFBibTeX XMLCite \textit{P. M. Cincotta} et al., Regul. Chaotic Dyn. 28, No. 3, 265--294 (2023; Zbl 1526.37090) Full Text: DOI
Miguel, Narcís; Simó, Carles; Vieiro, Arturo Escape times across the golden cantorus of the standard map. (English) Zbl 1502.37048 Regul. Chaotic Dyn. 27, No. 3, 281-306 (2022). Reviewer: Steve Pederson (Atlanta) MSC: 37E05 37E20 37C05 PDFBibTeX XMLCite \textit{N. Miguel} et al., Regul. Chaotic Dyn. 27, No. 3, 281--306 (2022; Zbl 1502.37048) Full Text: DOI
Cincotta, Pablo M.; Simó, Carles Global dynamics and diffusion in the rational standard map. (English) Zbl 1491.37001 Physica D 413, Article ID 132661, 14 p. (2020). MSC: 37A05 37C05 37E05 37A35 94A17 39B12 PDFBibTeX XMLCite \textit{P. M. Cincotta} and \textit{C. Simó}, Physica D 413, Article ID 132661, 14 p. (2020; Zbl 1491.37001) Full Text: DOI Link
Simó, Carles Simple flows on tori with uncommon chaos. (English) Zbl 1450.37040 Regul. Chaotic Dyn. 25, No. 2, 199-214 (2020). Reviewer: Héctor Barge (Madrid) MSC: 37E35 37C10 37C25 37C55 PDFBibTeX XMLCite \textit{C. Simó}, Regul. Chaotic Dyn. 25, No. 2, 199--214 (2020; Zbl 1450.37040) Full Text: DOI
Martínez, Regina; Simó, Carles A simple family of exceptional maps with chaotic behavior. (English) Zbl 1437.37053 Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 40, 18 p. (2020). Reviewer: Cristian Lăzureanu (Timisoara) MSC: 37E30 37D45 37M25 37C75 37C27 37C29 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Qual. Theory Dyn. Syst. 19, No. 1, Paper No. 40, 18 p. (2020; Zbl 1437.37053) Full Text: DOI
Boatto, Stefanella; Simó, Carles A vortex ring on a sphere: the case of total vorticity equal to zero. (English) Zbl 1462.76032 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2158, Article ID 20190019, 22 p. (2019). MSC: 76B47 85A05 PDFBibTeX XMLCite \textit{S. Boatto} and \textit{C. Simó}, Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 377, No. 2158, Article ID 20190019, 22 p. (2019; Zbl 1462.76032) Full Text: DOI
Fontich, E.; Simó, C.; Vieiro, A. Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. (English) Zbl 1409.37059 Nonlinearity 32, No. 4, 1440-1493 (2019). Reviewer: Stathis Antoniou (Athína) MSC: 37J20 37J40 37J45 37C29 PDFBibTeX XMLCite \textit{E. Fontich} et al., Nonlinearity 32, No. 4, 1440--1493 (2019; Zbl 1409.37059) Full Text: DOI arXiv
Simó, Carles Some questions looking for answers in dynamical systems. (English) Zbl 07694266 Discrete Contin. Dyn. Syst. 38, No. 12, 6215-6239 (2018). MSC: 00A27 37C29 37C45 37C55 37C70 37D45 37J30 37J40 37N05 70F10 70F16 37M05 37M25 PDFBibTeX XMLCite \textit{C. Simó}, Discrete Contin. Dyn. Syst. 38, No. 12, 6215--6239 (2018; Zbl 07694266) Full Text: DOI
Fontich, Ernest; Simó, Carles; Vieiro, Arturo On the “hidden” harmonics associated to best approximants due to quasi-periodicity in splitting phenomena. (English) Zbl 1410.37023 Regul. Chaotic Dyn. 23, No. 6, 638-653 (2018). MSC: 37C55 37J40 37J45 PDFBibTeX XMLCite \textit{E. Fontich} et al., Regul. Chaotic Dyn. 23, No. 6, 638--653 (2018; Zbl 1410.37023) Full Text: DOI
Meiss, James D.; Miguel, Narcís; Simó, Carles; Vieiro, Arturo Accelerator modes and anomalous diffusion in 3D volume-preserving maps. (English) Zbl 1409.37060 Nonlinearity 31, No. 12, 5615-5642 (2018). MSC: 37J20 37C05 37G10 37J40 PDFBibTeX XMLCite \textit{J. D. Meiss} et al., Nonlinearity 31, No. 12, 5615--5642 (2018; Zbl 1409.37060) Full Text: DOI arXiv
Martínez, Regina; Simó, Carles Relative equilibria of the restricted three-body problem in curved spaces. (English) Zbl 1367.70024 Celest. Mech. Dyn. Astron. 128, No. 2-3, 221-259 (2017). MSC: 70F07 70F15 70F10 70K20 70K42 70K50 65H20 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Celest. Mech. Dyn. Astron. 128, No. 2--3, 221--259 (2017; Zbl 1367.70024) Full Text: DOI
Sardanyés, Josep; Martínez, Regina; Simó, Carles; Solé, Ricard Abrupt transitions to tumor extinction: a phenotypic quasispecies model. (English) Zbl 1382.37102 J. Math. Biol. 74, No. 7, 1589-1609 (2017). Reviewer: Paul Georgescu (Iaşi) MSC: 37N25 92B05 92D25 PDFBibTeX XMLCite \textit{J. Sardanyés} et al., J. Math. Biol. 74, No. 7, 1589--1609 (2017; Zbl 1382.37102) Full Text: DOI DOI
Kapela, Tomasz; Simó, Carles Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems. (English) Zbl 1412.70024 Nonlinearity 30, No. 3, 965-986 (2017). MSC: 70H08 70F10 37J40 37J25 PDFBibTeX XMLCite \textit{T. Kapela} and \textit{C. Simó}, Nonlinearity 30, No. 3, 965--986 (2017; Zbl 1412.70024) Full Text: DOI arXiv
Simó, Carles Dynamical properties of Hamiltonian systems with applications to celestial mechanics. (English) Zbl 1373.70010 Corbera, Montserrat (ed.) et al., Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27–31, 2014. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0932-0/pbk; 978-3-0348-0933-7/ebook). Advanced Courses in Mathematics – CRM Barcelona, 169-232 (2016). Reviewer: Martha Alvarez-Ramirez (México City) MSC: 70F10 70F15 37N05 37J40 70H08 PDFBibTeX XMLCite \textit{C. Simó}, in: Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27--31, 2014. Basel: Birkhäuser/Springer. 169--232 (2016; Zbl 1373.70010) Full Text: DOI
Simó, Carles Experiments looking for theoretical predictions. (English) Zbl 1369.37081 Indag. Math., New Ser. 27, No. 5, 1068-1080 (2016). Reviewer: Carlo Laing (Auckland) MSC: 37M05 37M20 37M25 37G35 PDFBibTeX XMLCite \textit{C. Simó}, Indag. Math., New Ser. 27, No. 5, 1068--1080 (2016; Zbl 1369.37081) Full Text: DOI
Corbera, Montserrat (ed.); Cors, Josep Maria (ed.); Ponce, Enrique (ed.) [Llibre, Jaume; Moeckel, Richard; Simó, Carles] Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27–31, 2014. (English) Zbl 1336.37002 Advanced Courses in Mathematics – CRM Barcelona. Basel: Birkhäuser/Springer (ISBN 978-3-0348-0932-0/pbk; 978-3-0348-0933-7/ebook). viii, 232 p. (2016). MSC: 37-06 37J10 37J15 37J40 37J45 37N05 34C25 70F10 70F15 00B25 PDFBibTeX XMLCite \textit{M. Corbera} (ed.) et al., Central configurations, periodic orbits, and Hamiltonian systems. Lecture notes given at the research program on central configurations, periodic orbits and beyond in celestial mechanics, Barcelona, Spain, January 27--31, 2014. Basel: Birkhäuser/Springer (2016; Zbl 1336.37002) Full Text: DOI
Simó, Carles Open problem 3: On the integrability of Hamiltonian systems. (English) Zbl 1336.37047 Qual. Theory Dyn. Syst. 14, No. 2, 409-409 (2015). MSC: 37J35 PDFBibTeX XMLCite \textit{C. Simó}, Qual. Theory Dyn. Syst. 14, No. 2, 409--409 (2015; Zbl 1336.37047) Full Text: DOI
Martínez, Regina; Simó, Carles Return maps, dynamical consequences and applications. (English) Zbl 1350.37068 Qual. Theory Dyn. Syst. 14, No. 2, 353-379 (2015). MSC: 37J45 37C29 37N05 37M05 37E35 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Qual. Theory Dyn. Syst. 14, No. 2, 353--379 (2015; Zbl 1350.37068) Full Text: DOI
Miguel, Narcís; Simó, Carles; Vieiro, Arturo Effect of islands in diffusive properties of the standard map for large parameter values. (English) Zbl 1376.37017 Found. Comput. Math. 15, No. 1, 89-123 (2015). MSC: 37A50 37D45 37E40 PDFBibTeX XMLCite \textit{N. Miguel} et al., Found. Comput. Math. 15, No. 1, 89--123 (2015; Zbl 1376.37017) Full Text: DOI
Martínez, Regina; Simó, Carles Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion. (English) Zbl 1342.37033 Regul. Chaotic Dyn. 19, No. 6, 745-765 (2014). MSC: 37D05 37J25 70F07 37M05 37N05 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Regul. Chaotic Dyn. 19, No. 6, 745--765 (2014; Zbl 1342.37033) Full Text: DOI
Simó, Carles Quadratic area-preserving mappings in \({\mathbb R}^2\). (Aplicacions quadràtiques que preserven l’àrea a \(\mathbb{R}^2\).) (Catalan. English summary) Zbl 1371.37088 Butll. Soc. Catalana Mat. 29, No. 1, 77-108 (2014). MSC: 37E30 37E40 37A05 PDFBibTeX XMLCite \textit{C. Simó}, Butll. Soc. Catalana Mat. 29, No. 1, 77--108 (2014; Zbl 1371.37088)
Simó, Carles Measuring the total amount of chaos in some Hamiltonian systems. (English) Zbl 1299.70032 Discrete Contin. Dyn. Syst. 34, No. 12, 5135-5164 (2014). MSC: 70H07 70K70 37N05 34D08 37J40 37J45 37M25 PDFBibTeX XMLCite \textit{C. Simó}, Discrete Contin. Dyn. Syst. 34, No. 12, 5135--5164 (2014; Zbl 1299.70032) Full Text: DOI
Simó, C.; Vieiro, A. A physical dissipative system with a Poincaré homoclinic figure-eight. (English) Zbl 1348.37040 Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 383-394 (2013). MSC: 37C29 37G15 37E30 PDFBibTeX XMLCite \textit{C. Simó} and \textit{A. Vieiro}, Springer Proc. Math. Stat. 54, 383--394 (2013; Zbl 1348.37040) Full Text: DOI
Simó, C.; Sousa-Silva, P.; Terra, M. Practical stability domains near \(L_{4,5}\) in the restricted three-body problem: some preliminary facts. (English) Zbl 1305.70021 Ibáñez, Santiago (ed.) et al., Progress and challenges in dynamical systems. Proceedings of the international conference “Dynamical systems: 100 years after Poincaré”, Gijón, Spain, September 3–7, 2012. Berlin: Springer (ISBN 978-3-642-38829-3/hbk; 978-3-642-40137-4/ebook). Springer Proceedings in Mathematics & Statistics 54, 367-382 (2013). Reviewer: Nina A. Solovaya (Bratislava) MSC: 70F07 70K20 PDFBibTeX XMLCite \textit{C. Simó} et al., Springer Proc. Math. Stat. 54, 367--382 (2013; Zbl 1305.70021) Full Text: DOI
Miguel, Narcís; Simó, Carles; Vieiro, Arturo From the Hénon conservative map to the Chirikov standard map for large parameter values. (English) Zbl 1417.37191 Regul. Chaotic Dyn. 18, No. 5, 469-489 (2013). MSC: 37J10 37J25 37J45 37C05 PDFBibTeX XMLCite \textit{N. Miguel} et al., Regul. Chaotic Dyn. 18, No. 5, 469--489 (2013; Zbl 1417.37191) Full Text: DOI
Diacu, Florin; Martínez, Regina; Pérez-Chavela, Ernesto; Simó, Carles On the stability of tetrahedral relative equilibria in the positively curved 4-body problem. (English) Zbl 1292.70006 Physica D 256-257, 21-35 (2013). MSC: 70F10 PDFBibTeX XMLCite \textit{F. Diacu} et al., Physica D 256--257, 21--35 (2013; Zbl 1292.70006) Full Text: DOI arXiv
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles About the unfolding of a Hopf-zero singularity. (English) Zbl 1283.34039 Discrete Contin. Dyn. Syst. 33, No. 10, 4435-4471 (2013). MSC: 34C23 34C37 34C28 34C20 34A34 PDFBibTeX XMLCite \textit{F. Dumortier} et al., Discrete Contin. Dyn. Syst. 33, No. 10, 4435--4471 (2013; Zbl 1283.34039) Full Text: DOI
Gonchenko, S. V.; Simó, C.; Vieiro, A. Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. (English) Zbl 1286.37023 Nonlinearity 26, No. 3, 621-678 (2013). Reviewer: Eugen Mihailescu (Bucureşti) MSC: 37C29 37G35 37C15 37C55 PDFBibTeX XMLCite \textit{S. V. Gonchenko} et al., Nonlinearity 26, No. 3, 621--678 (2013; Zbl 1286.37023) Full Text: DOI
Broer, Henk; Levi, Mark; Simo, Carles Large scale radial stability density of Hill’s equation. (English) Zbl 1275.34077 Nonlinearity 26, No. 2, 565-589 (2013). Reviewer: Vasile Dragan (Bucureşti) MSC: 34D23 26B15 34C23 34C08 34C15 PDFBibTeX XMLCite \textit{H. Broer} et al., Nonlinearity 26, No. 2, 565--589 (2013; Zbl 1275.34077) Full Text: DOI
Martínez, Regina; Simó, Carles On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\). (English) Zbl 1263.70010 Discrete Contin. Dyn. Syst. 33, No. 3, 1157-1175 (2013). MSC: 70F07 70H12 34D08 37J25 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Discrete Contin. Dyn. Syst. 33, No. 3, 1157--1175 (2013; Zbl 1263.70010) Full Text: DOI
Gelfreich, V.; Simó, C.; Vieiro, A. Dynamics of 4D symplectic maps near a double resonance. (English) Zbl 1353.37113 Physica D 243, No. 1, 92-110 (2013). MSC: 37J10 37J45 70K30 PDFBibTeX XMLCite \textit{V. Gelfreich} et al., Physica D 243, No. 1, 92--110 (2013; Zbl 1353.37113) Full Text: DOI
Hanßmann, Heinz; Simó, Carles Dynamical stability of quasi-periodic response solutions in planar conservative systems. (English) Zbl 1287.37035 Indag. Math., New Ser. 23, No. 3, 151-166 (2012). MSC: 37J25 37J40 37J45 37C60 PDFBibTeX XMLCite \textit{H. Hanßmann} and \textit{C. Simó}, Indag. Math., New Ser. 23, No. 3, 151--166 (2012; Zbl 1287.37035) Full Text: DOI
Capiński, Maciej J.; Simó, Carles Computer assisted proof for normally hyperbolic invariant manifolds. (English) Zbl 1256.37020 Nonlinearity 25, No. 7, 1997-2026 (2012). MSC: 37D10 37D25 37M05 37D45 PDFBibTeX XMLCite \textit{M. J. Capiński} and \textit{C. Simó}, Nonlinearity 25, No. 7, 1997--2026 (2012; Zbl 1256.37020) Full Text: DOI arXiv
Font, Joaquim; Nunes, Ana; Simó, Carles The set of planar orbits of second species in the RTBP. (English) Zbl 1360.70020 Peixoto, Maurício Matos (ed.) et al., Dynamics, games and science I. DYNA 2008, in honor of Maurício Peixoto and David Rand, University of Minho, Braga, Portugal, September 8–12, 2008. Papers based on talks given at the international conference. Berlin: Springer (ISBN 978-3-642-11455-7/hbk; 978-3-642-11456-4/ebook). Springer Proceedings in Mathematics 1, 359-363 (2011). MSC: 70F15 70F10 PDFBibTeX XMLCite \textit{J. Font} et al., Springer Proc. Math. 1, 359--363 (2011; Zbl 1360.70020) Full Text: DOI
Simó, C.; Vieiro, A. Some remarks on the abundance of stable periodic orbits inside homoclinic lobes. (English) Zbl 1244.37039 Physica D 240, No. 24, 1936-1953 (2011). MSC: 37J45 37D10 PDFBibTeX XMLCite \textit{C. Simó} and \textit{A. Vieiro}, Physica D 240, No. 24, 1936--1953 (2011; Zbl 1244.37039) Full Text: DOI
Puig, Joaquim; Simó, Carles Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. (English) Zbl 1237.37023 J. Dyn. Differ. Equations 23, No. 3, 649-669 (2011). Reviewer: Christian Pötzsche (Klagenfurt) MSC: 37B55 35J10 37M25 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, J. Dyn. Differ. Equations 23, No. 3, 649--669 (2011; Zbl 1237.37023) Full Text: DOI Link
Broer, Henk; Dijkstra, Henk; Simó, Carles; Sterk, Alef; Vitolo, Renato The dynamics of a low-order model for the Atlantic multidecadal oscillation. (English) Zbl 1218.37117 Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 73-107 (2011). MSC: 37N10 PDFBibTeX XMLCite \textit{H. Broer} et al., Discrete Contin. Dyn. Syst., Ser. B 16, No. 1, 73--107 (2011; Zbl 1218.37117) Full Text: DOI
Puigjaner, D.; Herrero, J.; Simó, C.; Giralt, F. From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers. (English) Zbl 1225.37093 Physica D 240, No. 11, 920-934 (2011). Reviewer: Felix Kaplanski (Tallinn) MSC: 37N10 76R10 37D45 PDFBibTeX XMLCite \textit{D. Puigjaner} et al., Physica D 240, No. 11, 920--934 (2011; Zbl 1225.37093) Full Text: DOI
Vitolo, Renato; Broer, Henk; Simó, Carles Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. (English) Zbl 1225.37087 Regul. Chaotic Dyn. 16, No. 1-2, 154-184 (2011). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37M20 37C55 37G30 PDFBibTeX XMLCite \textit{R. Vitolo} et al., Regul. Chaotic Dyn. 16, No. 1--2, 154--184 (2011; Zbl 1225.37087) Full Text: DOI
Puig, Joaquim; Simó, Carles Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. (English) Zbl 1232.37012 Regul. Chaotic Dyn. 16, No. 1-2, 61-78 (2011). Reviewer: Antonio Linero Bas (Murcia) MSC: 37B55 35J10 34B30 65L99 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, Regul. Chaotic Dyn. 16, No. 1--2, 61--78 (2011; Zbl 1232.37012) Full Text: DOI
Simó, C.; Vieiro, A. Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones. (English) Zbl 1217.37051 Physica D 240, No. 8, 732-753 (2011). Reviewer: Enrico Valdinoci (Roma) MSC: 37J10 37D45 PDFBibTeX XMLCite \textit{C. Simó} and \textit{A. Vieiro}, Physica D 240, No. 8, 732--753 (2011; Zbl 1217.37051) Full Text: DOI
Martínez, Regina; Simó, Carles Non-integrability of the degenerate cases of the swinging Atwood’s machine using higher order variational equations. (English) Zbl 1211.37069 Discrete Contin. Dyn. Syst. 29, No. 1, 1-24 (2011). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 70H07 34M35 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Discrete Contin. Dyn. Syst. 29, No. 1, 1--24 (2011; Zbl 1211.37069) Full Text: DOI
Simó, C.; Vieiro, A. Planar radial weakly dissipative diffeomorphisms. (English) Zbl 1311.37059 Chaos 20, No. 4, 043138, 18 p. (2010). MSC: 37L50 37L10 PDFBibTeX XMLCite \textit{C. Simó} and \textit{A. Vieiro}, Chaos 20, No. 4, 043138, 18 p. (2010; Zbl 1311.37059) Full Text: DOI
Simó, C.; Puigjaner, D.; Herrero, J.; Giralt, F. Dynamics of particle trajectories in a Rayleigh-Bénard problem. (English) Zbl 1221.37174 Commun. Nonlinear Sci. Numer. Simul. 15, No. 1, 24-39 (2010). MSC: 37N10 76E06 76R10 PDFBibTeX XMLCite \textit{C. Simó} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 1, 24--39 (2010; Zbl 1221.37174) Full Text: DOI
Broer, Henk W.; Simó, Carles; Vitolo, Renato Chaos and quasi-periodicity in diffeomorphisms of the solid torus. (English) Zbl 1202.37034 Discrete Contin. Dyn. Syst., Ser. B 14, No. 3, 871-905 (2010). MSC: 37D45 70K43 37M25 PDFBibTeX XMLCite \textit{H. W. Broer} et al., Discrete Contin. Dyn. Syst., Ser. B 14, No. 3, 871--905 (2010; Zbl 1202.37034) Full Text: DOI
Vitolo, Renato; Broer, Henk; Simó, Carles Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. (English) Zbl 1204.37050 Nonlinearity 23, No. 8, 1919-1947 (2010). Reviewer: Denis Sidorov (Irkutsk) MSC: 37G10 34C37 37D45 PDFBibTeX XMLCite \textit{R. Vitolo} et al., Nonlinearity 23, No. 8, 1919--1947 (2010; Zbl 1204.37050) Full Text: DOI Link
Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates. (English) Zbl 1223.37103 Discrete Contin. Dyn. Syst., Ser. B 14, No. 1, 75-109 (2010). Reviewer: Josep J. Masdemont (Barcelona) MSC: 37M05 37M10 53C35 PDFBibTeX XMLCite \textit{G. Gómez} et al., Discrete Contin. Dyn. Syst., Ser. B 14, No. 1, 75--109 (2010; Zbl 1223.37103) Full Text: DOI
Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples. (English) Zbl 1237.37057 Discrete Contin. Dyn. Syst., Ser. B 14, No. 1, 41-74 (2010). Reviewer: Josep J. Masdemont (Barcelona) MSC: 37M25 37M05 37J05 PDFBibTeX XMLCite \textit{G. Gómez} et al., Discrete Contin. Dyn. Syst., Ser. B 14, No. 1, 41--74 (2010; Zbl 1237.37057) Full Text: DOI
Pujol, O.; Pérez, J. P.; Ramis, J. P.; Simó, C.; Simon, S.; Weil, J. A. Swinging Atwood Machine: experimental and numerical results, and a theoretical study. (English) Zbl 1189.37041 Physica D 239, No. 12, 1067-1081 (2010). MSC: 37D45 70K30 PDFBibTeX XMLCite \textit{O. Pujol} et al., Physica D 239, No. 12, 1067--1081 (2010; Zbl 1189.37041) Full Text: DOI arXiv Link
Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A. New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. (English) Zbl 1186.37101 Physica D 239, No. 10, 702-718 (2010). MSC: 37N10 76A10 37G15 PDFBibTeX XMLCite \textit{A. E. Sterk} et al., Physica D 239, No. 10, 702--718 (2010; Zbl 1186.37101) Full Text: DOI Link
Sánchez, J.; Net, M.; Simó, C. Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. (English) Zbl 1183.37137 Physica D 239, No. 3-4, 123-133 (2010). MSC: 37M20 37C25 37N10 37G10 PDFBibTeX XMLCite \textit{J. Sánchez} et al., Physica D 239, No. 3--4, 123--133 (2010; Zbl 1183.37137) Full Text: DOI
Martínez, R.; Simó, C. Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. (English) Zbl 1229.37058 Regul. Chaotic Dyn. 14, No. 3, 323-348 (2009). MSC: 37J30 70H07 34M35 PDFBibTeX XMLCite \textit{R. Martínez} and \textit{C. Simó}, Regul. Chaotic Dyn. 14, No. 3, 323--348 (2009; Zbl 1229.37058) Full Text: DOI
Font, Joaquim; Nunes, Ana; Simó, Carles A numerical study of the orbits of second species of the planar circular RTBP. (English) Zbl 1223.70022 Celest. Mech. Dyn. Astron. 103, No. 2, 143-162 (2009). MSC: 70F07 70K44 70K42 PDFBibTeX XMLCite \textit{J. Font} et al., Celest. Mech. Dyn. Astron. 103, No. 2, 143--162 (2009; Zbl 1223.70022) Full Text: DOI
Simó, Carles Some properties of the global behaviour of conservative low-dimensional systems. (English) Zbl 1188.37019 Cucker, Felipe (ed.) et al., Foundations of computational mathematics, Hong Kong, China, 2008. Selected papers based on the presentations at the international conference of the Society for the Foundations of Computational Mathematics (FoCM), June 16–26, 2008. Cambridge: Cambridge University Press (ISBN 978-0-521-73970-2/pbk). London Mathematical Society Lecture Note Series 363, 162-189 (2009). Reviewer: Alois Klíč (Praha) MSC: 37C10 37J05 37G05 37C75 34C23 70F07 PDFBibTeX XMLCite \textit{C. Simó}, Lond. Math. Soc. Lect. Note Ser. 363, 162--189 (2009; Zbl 1188.37019)
Simó, C.; Vieiro, A. Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. (English) Zbl 1181.37077 Nonlinearity 22, No. 5, 1191-1245 (2009). Reviewer: Yuri E. Gliklikh (Voronezh) MSC: 37J10 37G05 37G10 37C29 37M99 37J40 PDFBibTeX XMLCite \textit{C. Simó} and \textit{A. Vieiro}, Nonlinearity 22, No. 5, 1191--1245 (2009; Zbl 1181.37077) Full Text: DOI
Simó, Carles A personal viewpoint on dynamical systems. (Spanish) Zbl 1358.37001 Gac. R. Soc. Mat. Esp. 11, No. 4, 679-685 (2008). MSC: 37-01 37-03 01A61 PDFBibTeX XMLCite \textit{C. Simó}, Gac. R. Soc. Mat. Esp. 11, No. 4, 679--685 (2008; Zbl 1358.37001)
Broer, Henk; Simó, Carles; Vitolo, Renato The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. (English) Zbl 1154.37319 Bull. Belg. Math. Soc. - Simon Stevin 15, No. 5, 769-787 (2008). MSC: 37C05 37C25 37G10 37D45 35B34 PDFBibTeX XMLCite \textit{H. Broer} et al., Bull. Belg. Math. Soc. - Simon Stevin 15, No. 5, 769--787 (2008; Zbl 1154.37319) Full Text: Euclid
Simó, Carles; Treschev, Dmitri Stability islands in the vicinity of separatrices of near-integrable symplectic maps. (English) Zbl 1153.37406 Discrete Contin. Dyn. Syst., Ser. B 10, No. 2-3, 681-698 (2008). MSC: 37J40 70K44 70H08 PDFBibTeX XMLCite \textit{C. Simó} and \textit{D. Treschev}, Discrete Contin. Dyn. Syst., Ser. B 10, No. 2--3, 681--698 (2008; Zbl 1153.37406) Full Text: DOI
Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. (English) Zbl 1149.37032 Discrete Contin. Dyn. Syst., Ser. B 10, No. 2-3, 621-650 (2008). MSC: 37J45 37J25 70H12 70H14 70K70 78A35 PDFBibTeX XMLCite \textit{A. Neishtadt} et al., Discrete Contin. Dyn. Syst., Ser. B 10, No. 2--3, 621--650 (2008; Zbl 1149.37032) Full Text: DOI
de la Llave, Rafael; Shub, Michael; Simó, Carles Entropy estimates for a family of expanding maps of the circle. (English) Zbl 1173.37020 Discrete Contin. Dyn. Syst., Ser. B 10, No. 2-3, 597-608 (2008). Reviewer: Peter Zabreiko (Minsk) MSC: 37C40 37D20 37E10 37M25 PDFBibTeX XMLCite \textit{R. de la Llave} et al., Discrete Contin. Dyn. Syst., Ser. B 10, No. 2--3, 597--608 (2008; Zbl 1173.37020) Full Text: DOI
Gelfreich, Vassili; Simó, Carles High-precision computations of divergent asymptotic series and homoclinic phenomena. (English) Zbl 1169.37013 Discrete Contin. Dyn. Syst., Ser. B 10, No. 2-3, 511-536 (2008). Reviewer: Milena Radnovic (Beograd) MSC: 37J45 65P10 37C29 37G20 PDFBibTeX XMLCite \textit{V. Gelfreich} and \textit{C. Simó}, Discrete Contin. Dyn. Syst., Ser. B 10, No. 2--3, 511--536 (2008; Zbl 1169.37013) Full Text: DOI
Puigjaner, Dolors; Herrero, Joan; Simó, Carles; Giralt, Francesc Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls. (English) Zbl 1151.76463 J. Fluid Mech. 598, 393-427 (2008). MSC: 76E06 76M22 PDFBibTeX XMLCite \textit{D. Puigjaner} et al., J. Fluid Mech. 598, 393--427 (2008; Zbl 1151.76463) Full Text: DOI
Boatto, Stefanella; Simó, Carles Thomson’s heptagon: A case of bifurcation at infinity. (English) Zbl 1143.76404 Physica D 237, No. 14-17, 2051-2055 (2008). MSC: 76B47 76E99 PDFBibTeX XMLCite \textit{S. Boatto} and \textit{C. Simó}, Physica D 237, No. 14--17, 2051--2055 (2008; Zbl 1143.76404) Full Text: DOI
Vitolo, R.; Broer, H. W.; Simó, C. The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. (English) Zbl 1148.37309 Gaeta, Giuseppe (ed.) et al., Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2–9, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-277-616-7/hbk). 280-281 (2008). MSC: 37G35 37C25 37E10 PDFBibTeX XMLCite \textit{R. Vitolo} et al., in: Symmetry and perturbation theory. Proceedings of the 6th international conference, SPT 2007, Otranto, Italy, June 2--9, 2007. Hackensack, NJ: World Scientific. 280--281 (2008; Zbl 1148.37309)
Broer, Henk; Simó, Carles; Vitolo, Renato Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. (English) Zbl 1165.37017 Physica D 237, No. 13, 1773-1799 (2008). Reviewer: Adriana Buică (Cluj-Napoca) MSC: 37G10 37C05 37E99 PDFBibTeX XMLCite \textit{H. Broer} et al., Physica D 237, No. 13, 1773--1799 (2008; Zbl 1165.37017) Full Text: DOI Link
Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V. Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. (English. Russian original) Zbl 1153.37397 Proc. Steklov Inst. Math. 259, 236-247 (2007); translation from Tr. Mat. Inst. Steklova 259, 243-255 (2007). MSC: 37J25 70H14 70K70 37J45 PDFBibTeX XMLCite \textit{A. A. Vasiliev} et al., Proc. Steklov Inst. Math. 259, 236--247 (2007; Zbl 1153.37397); translation from Tr. Mat. Inst. Steklova 259, 243--255 (2007) Full Text: DOI arXiv
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. (English) Zbl 1144.37023 Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845-884 (2007). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J30 37J35 12H05 37F10 34M35 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Ann. Sci. Éc. Norm. Supér. (4) 40, No. 6, 845--884 (2007; Zbl 1144.37023) Full Text: DOI Numdam EuDML
Kapela, Tomasz; Simó, Carles Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight. (English) Zbl 1115.70008 Nonlinearity 20, No. 5, 1241-1255 (2007). MSC: 70F10 70-08 70K20 PDFBibTeX XMLCite \textit{T. Kapela} and \textit{C. Simó}, Nonlinearity 20, No. 5, 1241--1255 (2007; Zbl 1115.70008) Full Text: DOI Link
García-Archilla, Bosco; Sánchez, Juan; Simó, Carles Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations. (English) Zbl 1111.65112 BIT 46, No. 4, 731-757 (2006). Reviewer: H. B. Bouzahir (Agadir) MSC: 65P30 65F40 65F10 37G10 65F35 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., BIT 46, No. 4, 731--757 (2006; Zbl 1111.65112) Full Text: DOI
Martínez, Regina; Samà, Anna; Simó, Carles Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications. (English) Zbl 1111.34033 J. Differ. Equations 226, No. 2, 652-686 (2006). Reviewer: Alois Steindl (Wien) MSC: 34C15 34C37 34C23 34D05 37J20 37J25 37J40 PDFBibTeX XMLCite \textit{R. Martínez} et al., J. Differ. Equations 226, No. 2, 652--686 (2006; Zbl 1111.34033) Full Text: DOI
Martínez, Regina; Samà, Anna; Simó, Carles Stability diagram for 4D linear periodic systems with applications to homographic solutions. (English) Zbl 1108.34032 J. Differ. Equations 226, No. 2, 619-651 (2006). Reviewer: Alois Steindl (Wien) MSC: 34C20 34C25 34D05 37G05 37J25 37J40 PDFBibTeX XMLCite \textit{R. Martínez} et al., J. Differ. Equations 226, No. 2, 619--651 (2006; Zbl 1108.34032) Full Text: DOI
Puig, Joaquim; Simó, Carles Analytic families of reducible linear quasi-periodic differential equations. (English) Zbl 1105.34021 Ergodic Theory Dyn. Syst. 26, No. 2, 481-524 (2006). Reviewer: Natalia Medvedeva (Chelyabinsk) MSC: 34C20 34A30 34B30 34L40 47E05 34-02 34L05 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, Ergodic Theory Dyn. Syst. 26, No. 2, 481--524 (2006; Zbl 1105.34021) Full Text: DOI
Martínez, Regina; Samà, Anna; Simó, Carles Stability of homographic solutions of the planar three-body problem with homogeneous potentials. (English) Zbl 1326.70014 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 1005-1010 (2005). MSC: 70F07 34D20 70K20 PDFBibTeX XMLCite \textit{R. Martínez} et al., in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 1005--1010 (2005; Zbl 1326.70014) Full Text: DOI
Puig, Joaquim; Simó, Carles The spectrum of Schrödinger operators with quasi-periodic potential: a dynamical approach. (English) Zbl 1106.34340 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 856-861 (2005). MSC: 34L40 34L15 PDFBibTeX XMLCite \textit{J. Puig} and \textit{C. Simó}, in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 856--861 (2005; Zbl 1106.34340)
Simó, Carles On the use of Lyapunov exponents to detect global properties of the dynamics. (English) Zbl 1102.37025 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 631-636 (2005). MSC: 37D45 37A35 PDFBibTeX XMLCite \textit{C. Simó}, in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 631--636 (2005; Zbl 1102.37025)
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C. Continuation of periodic orbits in large-scale dissipative systems. (English) Zbl 1102.65131 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 625-630 (2005). MSC: 65P30 37M20 37G15 PDFBibTeX XMLCite \textit{J. Sánchez} et al., in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 625--630 (2005; Zbl 1102.65131)
Broer, H. W.; Vitolo, R.; Simó, C. Quasi-periodic Hénon-like attractors in the Lorenz-84 climate model with seasonal forcing. (English) Zbl 1132.34040 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 601-606 (2005). Reviewer: Kazuyuki Yagasaki (Gifu) MSC: 34D45 34C27 34C60 34C23 37D45 37N10 PDFBibTeX XMLCite \textit{H. W. Broer} et al., in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 601--606 (2005; Zbl 1132.34040)
Broer, H. W.; van Noort, M.; Simó, C. Existence and measure of 2-quasiperiodicity in Hamiltonaian one-and-a-half degree of freedom systems. (English) Zbl 1102.37041 Dumortier, Freddy (ed.) et al., EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22–26, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-169-2/hbk). 295-600 (2005). MSC: 37J45 34C40 35F20 PDFBibTeX XMLCite \textit{H. W. Broer} et al., in: EQUADIFF 2003. Proceedings of the international conference on differential equations, Hasselt, Belgium, July 22--26, 2003. Hackensack, NJ: World Scientific. 295--600 (2005; Zbl 1102.37041)
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D. Three-dimensional Hénon-like maps and wild Lorenz-like attractors. (English) Zbl 1097.37023 Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 11, 3493-3508 (2005). MSC: 37D45 37E99 37D30 37G15 37G35 PDFBibTeX XMLCite \textit{S. V. Gonchenko} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 15, No. 11, 3493--3508 (2005; Zbl 1097.37023) Full Text: DOI
Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi Algebraic proof of the non-integrability of Hill’s problem. (English) Zbl 1078.70014 Ergodic Theory Dyn. Syst. 25, No. 4, 1237-1256 (2005). MSC: 70F15 70F07 70H07 37N05 PDFBibTeX XMLCite \textit{J. J. Morales-Ruiz} et al., Ergodic Theory Dyn. Syst. 25, No. 4, 1237--1256 (2005; Zbl 1078.70014) Full Text: DOI
Puigjaner, D.; Herrero, J.; Giralt, Francesc; Simó, C. Stability analysis of the flow in a cubical cavity heated from below. (English) Zbl 1187.76432 Phys. Fluids 16, No. 10, Paper No. 3639, 17 p. (2004). MSC: 76-XX PDFBibTeX XMLCite \textit{D. Puigjaner} et al., Phys. Fluids 16, No. 10, Paper No. 3639, 17 p. (2004; Zbl 1187.76432) Full Text: DOI
Broer, H. W.; Hoveijn, I.; van Noort, M.; Simó, C.; Vegter, G. The parametrically forced pendulum: A case study in \(1\frac12\) degree of freedom. (English) Zbl 1061.37039 J. Dyn. Differ. Equations 16, No. 4, 897-947 (2004). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37J20 37J40 37M20 70H08 PDFBibTeX XMLCite \textit{H. W. Broer} et al., J. Dyn. Differ. Equations 16, No. 4, 897--947 (2004; Zbl 1061.37039) Full Text: DOI
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C. Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. (English) Zbl 1153.76345 J. Comput. Phys. 201, No. 1, 13-33 (2004). MSC: 76D05 37L15 37N10 PDFBibTeX XMLCite \textit{J. Sánchez} et al., J. Comput. Phys. 201, No. 1, 13--33 (2004; Zbl 1153.76345) Full Text: DOI
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie Random versus deterministic exponents in a rich family of diffeomorphisms. (English) Zbl 1031.37028 J. Stat. Phys. 113, No. 1-2, 85-149 (2003). Reviewer: Yuri Kifer (Jerusalem) MSC: 37D25 37H15 37E30 37M25 PDFBibTeX XMLCite \textit{F. Ledrappier} et al., J. Stat. Phys. 113, No. 1--2, 85--149 (2003; Zbl 1031.37028) Full Text: DOI arXiv
Broer, Henk; Puig, Joaquim; Simó, Carles Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. (English) Zbl 1098.37014 Commun. Math. Phys. 241, No. 2-3, 467-503 (2003). MSC: 37B55 34B30 34C20 34C28 34C29 37E45 PDFBibTeX XMLCite \textit{H. Broer} et al., Commun. Math. Phys. 241, No. 2--3, 467--503 (2003; Zbl 1098.37014) Full Text: DOI
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. (English) Zbl 1038.37017 Nonlinearity 16, No. 2, 521-557 (2003). Reviewer: Victor I. Tkachenko (Kyïv) MSC: 37C29 34C28 37M25 37C40 37D45 34C29 PDFBibTeX XMLCite \textit{A. Neishtadt} et al., Nonlinearity 16, No. 2, 521--557 (2003; Zbl 1038.37017) Full Text: DOI
Cincotta, P. M.; Giordano, C. M.; Simó, C. Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits. (English) Zbl 1032.37042 Physica D 182, No. 3-4, 151-178 (2003). Reviewer: Willy Sarlet (Gent) MSC: 37J35 37J45 37D45 37M25 PDFBibTeX XMLCite \textit{P. M. Cincotta} et al., Physica D 182, No. 3--4, 151--178 (2003; Zbl 1032.37042) Full Text: DOI
Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles Simple choreographic motions of \(N\) bodies: a preliminary study. (English) Zbl 1146.70333 Newton, Paul (ed.) et al., Geometry, mechanics, and dynamics. Volume in honor of the 60th birthday of J. E. Marsden. New York, NY: Springer (ISBN 0-387-95518-6/hbk). 287-308 (2002). MSC: 70F10 PDFBibTeX XMLCite \textit{A. Chenciner} et al., in: Geometry, mechanics, and dynamics. Volume in honor of the 60th birthday of J. E. Marsden. New York, NY: Springer. 287--308 (2002; Zbl 1146.70333) Full Text: DOI
Broer, Henk; Simó, Carles; Vitolo, Renato Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. (English) Zbl 1148.37307 Nonlinearity 15, No. 4, 1205-1267 (2002). MSC: 37D45 37G35 37N10 86A10 PDFBibTeX XMLCite \textit{H. Broer} et al., Nonlinearity 15, No. 4, 1205--1267 (2002; Zbl 1148.37307) Full Text: DOI Link
Simó, Carles Dynamical properties of the figure eight solution of the three-body problem. (English) Zbl 1151.70316 Chenciner, Alain (ed.) et al., Celestial mechanics. Dedicated to Donald Saari for his 60th birthday. Proceedings of an international conference, Northwestern Univ., Evanston, IL, USA, December 15–19, 1999. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2902-5). Contemp. Math. 292, 209-228 (2002). MSC: 70F07 37N05 70-08 PDFBibTeX XMLCite \textit{C. Simó}, Contemp. Math. 292, 209--228 (2002; Zbl 1151.70316)
Font, Joaquim; Nunes, Ana; Simó, Carles Consecutive quasi-collisions in the planar circular RTBP. (English) Zbl 1035.70005 Nonlinearity 15, No. 1, 115-142 (2002). Reviewer: Alexei Tsygvintsev (Lyon) MSC: 70F07 37N05 70K42 PDFBibTeX XMLCite \textit{J. Font} et al., Nonlinearity 15, No. 1, 115--142 (2002; Zbl 1035.70005) Full Text: DOI Link
Simó, Carles New families of solutions in \(N\)-body problems. (English) Zbl 1101.70009 Casacuberta, Carles (ed.) et al., 3rd European congress of mathematics (ECM), Barcelona, Spain, July 10–14, 2000. Volume I. Basel: Birkhäuser (ISBN 3-7643-6417-3/hbk; 3-7643-6419-X/set). Prog. Math. 201, 101-115 (2001). MSC: 70F10 70F15 37N05 PDFBibTeX XMLCite \textit{C. Simó}, Prog. Math. 201, 101--115 (2001; Zbl 1101.70009)
Simó, Carles Global dynamics and fast indicators. (English) Zbl 1198.37115 Broer, Henk W. (ed.) et al., Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Bristol: Institute of Physics Publishing (ISBN 0-7503-0803-6/hbk). 373-389 (2001). MSC: 37M99 37M25 70-08 70K55 PDFBibTeX XMLCite \textit{C. Simó}, in: Global analysis of dynamical systems. Festschrift dedicated to Floris Takens for his 60th birthday. Bristol: Institute of Physics Publishing. 373--389 (2001; Zbl 1198.37115)
Simó, Carles; Valls, Clàudia A formal approximation of the splitting of separatrices in the classical Arnold’s example of diffusion with two equal parameters. (English) Zbl 1001.37051 Nonlinearity 14, No. 6, 1707-1760 (2001). Reviewer: Messoud Efendiev (Berlin) MSC: 37J40 37M99 70H08 PDFBibTeX XMLCite \textit{C. Simó} and \textit{C. Valls}, Nonlinearity 14, No. 6, 1707--1760 (2001; Zbl 1001.37051) Full Text: DOI
Gómez, G.; Jorba, À.; Simó, C.; Masdemont, J. Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points. (English) Zbl 0969.70002 World Scientific Monograph Series in Mathematics. 5. Singapore: World Scientific. x, 262 p. £41.00 (2001). Reviewer: Nina A.Solovaya (Moskva) MSC: 70-02 70F15 70F07 70F05 70M20 PDFBibTeX XMLCite \textit{G. Gómez} et al., Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points. Singapore: World Scientific (2001; Zbl 0969.70002) Full Text: DOI
Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. (English) Zbl 0971.70004 World Scientific Monograph Series in Mathematics 3. Singapore: World Scientific (ISBN 981-02-4274-3/hbk; 981-02-4275-1/pbk; 978-981-281-064-9/ebook). 160 p. (2001). MSC: 70-02 70F15 70F07 PDFBibTeX XMLCite \textit{G. Gómez} et al., Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Singapore: World Scientific (2001; Zbl 0971.70004) Full Text: DOI
Gómez, Gerard; Jorba, Ángel; Simó, Carles; Masdemont, Josep Dynamics and mission design near libration points. Vol. 3: Advanced methods for collinear points. (English) Zbl 0971.70002 World Scientific Monograph Series in Mathematics. 4. Singapore: World Scientific Publishing. xiii, 185 p. £35.00; $ 52.00 (2001). Reviewer: M.Gousidou-Koutita (Thessaloniki) MSC: 70-02 70F15 PDFBibTeX XMLCite \textit{G. Gómez} et al., Dynamics and mission design near libration points. Vol. 3: Advanced methods for collinear points. Singapore: World Scientific Publishing (2001; Zbl 0971.70002) Full Text: DOI
Martínez, Regina; Simó, Carles; Susín, Antoni Regularizable and non-regularizable collisions in \(N\)-body problems. (English) Zbl 1051.70517 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1–7, 1999. Vol. 1. Singapore: World Scientific (ISBN 981-02-4359-6/hbk). 12-19 (2000). Reviewer: Octavian Mustafa (Craiova) MSC: 70F10 70F16 PDFBibTeX XMLCite \textit{R. Martínez} et al., in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 1. Singapore: World Scientific. 12--19 (2000; Zbl 1051.70517)
Broer, H. W.; Simó, C. Reducible linear quasi-periodic systems with positive Lyapunov exponent and varying rotation number. (English) Zbl 0970.34039 J. Differ. Equations 168, No. 1, 60-66 (2000). Reviewer: Stefan Siegmund (Augsburg) MSC: 34C27 34D08 34C20 34A30 34C25 PDFBibTeX XMLCite \textit{H. W. Broer} and \textit{C. Simó}, J. Differ. Equations 168, No. 1, 60--66 (2000; Zbl 0970.34039) Full Text: DOI Link
Simó, Carles Analytical and numerical detection of exponentially small phenomena. (English) Zbl 0963.65136 Fiedler, B. (ed.) et al., International conference on differential equations. Proceedings of the conference, Equadiff ’99, Berlin, Germany, August 1-7, 1999. Vol. 2. Singapore: World Scientific. 967-976 (2000). MSC: 65P30 37M20 PDFBibTeX XMLCite \textit{C. Simó}, in: International conference on differential equations. Proceedings of the conference, Equadiff '99, Berlin, Germany, August 1--7, 1999. Vol. 2. Singapore: World Scientific. 967--976 (2000; Zbl 0963.65136)