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Author ID: simo.carles Recent zbMATH articles by "Simó, Carles"
Published as: Simó, Carles; Simó, C.; Simo, Carles; Simo, Carlos; Simo, C.
Homepage: http://www.bgsmath.cat/fitxa-carles-simo/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

31 single-authored
21 Broer, Henk W.
19 Martínez, Regina
13 Vieiro, Arturo
10 Llibre, Jaume
10 Vitolo, Renato
8 Gómez, Gerard
8 Jorba, Àngel
6 Fontich, Ernest
5 Puig, Joaquim
5 Tatjer, Joan Carles
4 Cincotta, Pablo M.
4 Giralt, Francesc
4 Herrero, Joan
4 Lacomba, Ernesto A.
4 Masdemont, Josep J.
4 Miguel, Narcís
4 Mira, Christian
4 Neĭshtadt, Anatoliĭ Iserovich
4 Puigjaner, Dolors
4 Susin, Antoni
4 Treshchev, Dmitriĭ Valer’evich
3 Bosch, Miquel
3 Font, Joaquim
3 García-Archilla, Bosco
3 Gelfreich, Vassili
3 Lazutkin, Vladimir Fedorovich
3 Morales-Ruiz, Juan José
3 Net, Marta
3 Olvera, Arturo
3 Roussarie, Robert
3 Samà, Anna
3 Vasil’ev, Alekseĭ Alekseevich
2 Boatto, Stefanella
2 Carcasses, Jean-Pierre
2 Chenciner, Alain
2 Dijkstra, Henk A.
2 Giordano, Claudia M.
2 Giorgilli, Antonio
2 Gonchenko, Sergey V.
2 Kapela, Tomasz
2 Moeckel, Richard
2 Mondelo, Josep-Maria
2 Morales, Juan J.
2 Ramis, Jean-Pierre
2 Shub, Michael
2 Simon, Sergi
2 Sterk, Alef E.
2 Targonski, György I.
2 Valls Anglés, Cláudia
2 van Noort, Martijn
1 Abraham, Ralph Herman
1 Aguilo, Jordi
1 Alsedà, Lluís
1 Alsina, Claudi
1 Capinski, Maciej J.
1 Cobos, Jordi
1 Corbera, Montserrat
1 Cors, Josep Maria
1 de la Llave, Rafael
1 Delshams, Amadeu
1 Diacu, Florin Nicolae
1 Díez, Carles
1 Dumortier, Freddy
1 Galgani, Luigi
1 Gerver, Joseph L.
1 Hanßmann, Heinz
1 Hoveijn, Igor
1 Ibáñez, Santiago
1 Irigoyen, Maylis
1 Kokubu, Hiroshi
1 Ledrappier, François
1 Levi, Mark L.
1 Meiss, James D.
1 Misiurewicz, Michał
1 Montgomery, Richard
1 Netzer, Norbert
1 Ovsyannikov, Ivan I.
1 Pérez-Chavela, Ernesto
1 Pérez, José-Philippe
1 Ponce, Enrique
1 Pujol, Olivier
1 Sardanyés, Josep
1 Solà-Morales, Joan
1 Solé, Ricard V.
1 Sousa-Silva, Priscilla A.
1 Stuchi, Teresinha J.
1 Tabanov, Michael B.
1 Terra, Maisa O.
1 Thibault, Roger
1 Turaev, Dmitry V.
1 Vegter, Gert
1 Weil, Jacques-Arthur
1 Wilkinson, Amie
all top 5

Serials

16 Nonlinearity
15 Physica D
12 Journal of Differential Equations
10 Regular and Chaotic Dynamics
8 Discrete and Continuous Dynamical Systems. Series B
7 Ergodic Theory and Dynamical Systems
6 Celestial Mechanics and Dynamical Astronomy
6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
5 Celestial Mechanics
5 Discrete and Continuous Dynamical Systems
4 World Scientific Monograph Series in Mathematics
3 Qualitative Theory of Dynamical Systems
2 SIAM Journal on Mathematical Analysis
2 Journal of Dynamics and Differential Equations
2 Indagationes Mathematicae. New Series
1 Archive for Rational Mechanics and Analysis
1 Communications in Mathematical Physics
1 Journal of Computational Physics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Journal of Statistical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 BIT
1 Collectanea Mathematica
1 Indiana University Mathematics Journal
1 Mathematische Annalen
1 Revista Matematica Hispano-Americana. 4a Serie. Publicada por Real Sociedad Matematica Espanola
1 Boletim da Sociedade Brasileira de Matemática. Nova Série
1 Physics of Fluids
1 Bulletin of the Belgian Mathematical Society - Simon Stevin
1 Chaos
1 Regularnaya & Khaoticheskaya Dinamika
1 Communications in Nonlinear Science and Numerical Simulation
1 La Gaceta de la Real Sociedad Matemática Española
1 Foundations of Computational Mathematics
1 Butlletí de la Societat Catalana de Matemàtiques
1 Gaceta Matemática
1 NATO ASI Series. Series C. Mathematical and Physical Sciences
1 Proceedings of the Steklov Institute of Mathematics
1 SMF Journée Annuelle
1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Advanced Courses in Mathematics – CRM Barcelona

Publications by Year

Citations contained in zbMATH Open

150 Publications have been cited 2,319 times in 1,388 Documents Cited by Year
On the reducibility of linear differential equations with quasiperiodic coefficients. Zbl 0761.34026
Jorba, Àngel; Simó, Carles
78
1992
Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. Zbl 1144.37023
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles
75
2007
Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem. Zbl 0675.70027
Giorgilli, Antonio; Delshams, Amadeo; Fontich, Ernest; Galgani, Luigi; Simó, Carles
71
1989
Relative equilibrium solutions in the four body problem. Zbl 0394.70009
Simo, Carles
69
1978
On quasi-periodic perturbations of elliptic equilibrium points. Zbl 0863.34043
Jorba, Àngel; Simó, Carles
59
1996
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
57
2005
Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013
Broer, Henk; Simó, Carles; Tatjer, Joan Carles
55
1998
Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Zbl 0971.70004
Gómez, G.; Simó, C.; Llibre, J.; Martinez, R.
51
2001
Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits. Zbl 1032.37042
Cincotta, P. M.; Giordano, C. M.; Simó, C.
51
2003
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
48
1998
Bifurcation of spatial central configurations from planar ones. Zbl 0830.34032
Moeckel, Richard; Simó, Carles
44
1995
Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points. Zbl 0969.70002
Gómez, G.; Jorba, À.; Simó, C.; Masdemont, J.
44
2001
Oscillatory solutions in the planar restricted three-body problem. Zbl 0505.70010
Llibre, Jaume; Simó, Carles
41
1980
Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem. Zbl 0594.70013
Llibre, Jaume; Martínez, Regina; Simó, Carles
39
1985
New families of solutions in \(N\)-body problems. Zbl 1101.70009
Simó, Carles
39
2001
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032
Broer, Henk; Roussarrie, Robert; Simó, Carles
38
1996
Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019
Broer, Henk; Simó, Carles
35
1998
The splitting of separatrices for analytic diffeomorphisms. Zbl 0706.58061
Fontich, E.; Simó, C.
35
1990
Simple choreographic motions of \(N\) bodies: a preliminary study. Zbl 1146.70333
Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles
34
2002
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307
Broer, Henk; Simó, Carles; Vitolo, Renato
33
2002
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
32
2011
Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem. Zbl 0963.37052
Simó, C.; Stuchi, T. J.
30
2000
The bicircular model near the triangular libration points of the RTBP. Zbl 0883.70008
Simó, Carles; Gómez, Gerard; Jorba, Àngel; Masdemont, Josep
30
1995
Study of the transfer from the Earth to a halo orbit around the equilibrium point \(L_ 1\). Zbl 0780.70007
Gómez, G.; Jorba, A.; Masdemont, J.; Simó, C.
29
1993
Dynamics and mission design near libration points. Vol. 3: Advanced methods for collinear points. Zbl 0971.70002
Gómez, Gerard; Jorba, Ángel; Simó, Carles; Masdemont, Josep
28
2001
Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014
Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi
26
2005
Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. Zbl 1165.37017
Broer, Henk; Simó, Carles; Vitolo, Renato
26
2008
Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight. Zbl 1115.70008
Kapela, Tomasz; Simó, Carles
25
2007
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. Zbl 1154.37319
Broer, Henk; Simó, Carles; Vitolo, Renato
25
2008
Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. Zbl 1181.37077
Simó, C.; Vieiro, A.
25
2009
An obstruction method for the destruction of invariant curves. Zbl 0612.58039
Olvera, Arturo; Simó, Carles
25
1987
Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. Zbl 1153.76345
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C.
25
2004
About the unfolding of a Hopf-zero singularity. Zbl 1283.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles
25
2013
Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072
Broer, Henk; Simó, Carles
24
2000
Picard-Vessiot theory and Ziglin’s theorem. Zbl 0799.58035
Morales, J. J.; Simó, C.
24
1994
Dynamical properties of the figure eight solution of the three-body problem. Zbl 1151.70316
Simó, Carles
23
2002
On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\). Zbl 1263.70010
Martínez, Regina; Simó, Carles
21
2013
Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. Zbl 1183.37137
Sánchez, J.; Net, M.; Simó, C.
20
2010
Effective computations in celestial mechanics and astrodynamics. Zbl 0920.70003
Simó, C.
20
1998
On the stability of tetrahedral relative equilibria in the positively curved 4-body problem. Zbl 1292.70006
Diacu, Florin; Martínez, Regina; Pérez-Chavela, Ernesto; Simó, Carles
20
2013
Stability diagram for 4D linear periodic systems with applications to homographic solutions. Zbl 1108.34032
Martínez, Regina; Samà, Anna; Simó, Carles
19
2006
“Crossroad area – spring area” transition. I: Parameter plane representation. Zbl 0758.58025
Carcasses, J. P.; Mira, C.; Bosch, M.; Simó, C.; Tatjer, J. C.
19
1991
Some homoclinic phenomena in the three-body problem. Zbl 0445.70005
Llibre, Jaume; Simó, Carles
19
1980
Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations. Zbl 0866.58034
Morales-Ruiz, Juan J.; Simó, Carles
19
1996
Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014
Broer, Henk; Puig, Joaquim; Simó, Carles
19
2003
Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications. Zbl 1111.34033
Martínez, Regina; Samà, Anna; Simó, Carles
18
2006
High-precision computations of divergent asymptotic series and homoclinic phenomena. Zbl 1169.37013
Gelfreich, Vassili; Simó, Carles
18
2008
Dynamics of 4D symplectic maps near a double resonance. Zbl 1353.37113
Gelfreich, V.; Simó, C.; Vieiro, A.
18
2013
Qualitative study of the planar isosceles three-body problem. Zbl 0657.70015
Simó, Carles; Martínez, Regina
16
1987
A formal approximation of the splitting of separatrices in the classical Arnold’s example of diffusion with two equal parameters. Zbl 1001.37051
Simó, Carles; Valls, Clàudia
16
2001
Stability analysis of the flow in a cubical cavity heated from below. Zbl 1187.76432
Puigjaner, D.; Herrero, J.; Giralt, Francesc; Simó, C.
16
2004
Computer assisted proof for normally hyperbolic invariant manifolds. Zbl 1256.37020
Capiński, Maciej J.; Simó, Carles
16
2012
A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples. Zbl 1237.37057
Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles
16
2010
Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Zbl 1286.37023
Gonchenko, S. V.; Simó, C.; Vieiro, A.
16
2013
Effect of islands in diffusive properties of the standard map for large parameter values. Zbl 1376.37017
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
15
2015
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems. Zbl 1412.70024
Kapela, Tomasz; Simó, Carles
15
2017
Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1204.37050
Vitolo, Renato; Broer, Henk; Simó, Carles
15
2010
Dynamics and mission design near libration points. Vol. 1: Fundamentals: The case of collinear libration points. Zbl 0971.70003
Gómez, G.; Simó, C.; Llibre, J.; Martinez, R.
14
2000
Invariant manifolds for near identity differentiable maps and splitting of separatrices. Zbl 0706.58060
Fontich, E.; Simó, C.
14
1990
Non integrability of the \(J_ 2\) problem. Zbl 0767.70015
Irigoyen, Maylis; Simó, Carles
14
1993
Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034
Broer, Henk W.; Simó, Carles; Vitolo, Renato
13
2010
Swinging Atwood Machine: experimental and numerical results, and a theoretical study. Zbl 1189.37041
Pujol, O.; Pérez, J. P.; Ramis, J. P.; Simó, C.; Simon, S.; Weil, J. A.
12
2010
Practical stability domains near \(L_{4,5}\) in the restricted three-body problem: some preliminary facts. Zbl 1305.70021
Simó, C.; Sousa-Silva, P.; Terra, M.
12
2013
Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024
Martínez, Regina; Simó, Carles
12
2017
Global dynamics and fast indicators. Zbl 1198.37115
Simó, Carles
11
2001
Analytic families of reducible linear quasi-periodic differential equations. Zbl 1105.34021
Puig, Joaquim; Simó, Carles
11
2006
Attractors in a Šil’nikov-Hopf scenario and a related one-dimensional map. Zbl 0783.58043
Bosch, Miquel; Simó, Carles
11
1993
The dynamics of a low-order model for the Atlantic multidecadal oscillation. Zbl 1218.37117
Broer, Henk; Dijkstra, Henk; Simó, Carles; Sterk, Alef; Vitolo, Renato
11
2011
A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates. Zbl 1223.37103
Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles
11
2010
Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. Zbl 1229.37058
Martínez, R.; Simó, C.
10
2009
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
10
2003
Consecutive quasi-collisions in the planar circular RTBP. Zbl 1035.70005
Font, Joaquim; Nunes, Ana; Simó, Carles
10
2002
“Crossroad area – spring area” transition. II: Foliated parametric representation. Zbl 0876.58035
Mira, C.; Carcassès, J. P.; Bosch, M.; Simó, C.; Tatjer, J. C.
10
1991
Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion. Zbl 1342.37033
Martínez, Regina; Simó, Carles
10
2014
Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls. Zbl 1151.76463
Puigjaner, Dolors; Herrero, Joan; Simó, Carles; Giralt, Francesc
10
2008
From the Hénon conservative map to the Chirikov standard map for large parameter values. Zbl 1417.37191
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
10
2013
New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. Zbl 1186.37101
Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A.
9
2010
The degree of differentiability of the regularization of simultaneous binary collisions in some \(N\)-body problems. Zbl 0983.70011
Martínez, Regina; Simó, Carles
9
2000
On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512
Broer, H. W.; Roussarie, R.; Simó, C.
9
1993
Regularization of simultaneous binary collisions in the \(n\)-body problem. Zbl 0764.70011
Simó, Carles; Lacomba, Ernesto A.
9
1992
Simultaneous binary collisions in the planar four-body problem. Zbl 0951.70009
Martínez, Regina; Simó, Carles
8
1999
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
8
1996
From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers. Zbl 1225.37093
Puigjaner, D.; Herrero, J.; Simó, C.; Giralt, F.
8
2011
Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point. Zbl 0592.54037
Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał; Simó, Carles
8
1985
Masses for which triple collision is regularizable. Zbl 0422.70015
Simo, Carles
8
1980
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
8
2008
Thomson’s heptagon: A case of bifurcation at infinity. Zbl 1143.76404
Boatto, Stefanella; Simó, Carles
8
2008
Boundary manifolds for energy surfaces in celestial mechanics. Zbl 0504.70010
Lacomba, Ernesto A.; Simo, Carles
7
1982
Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones. Zbl 1217.37051
Simó, C.; Vieiro, A.
7
2011
Stability of homographic solutions of the planar three-body problem with homogeneous potentials. Zbl 1326.70014
Martínez, Regina; Samà, Anna; Simó, Carles
7
2005
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032
Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei
7
2008
Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Zbl 1409.37060
Meiss, James D.; Miguel, Narcís; Simó, Carles; Vieiro, Arturo
7
2018
Some ideas about strange attractors. Zbl 0517.58026
Garrido, L.; Simo, C.
6
1983
Analysis of some degenerate quadruple collisions. Zbl 0536.70013
Simó, Carles; Lacomba, Ernesto
6
1982
Non-integrability of the degenerate cases of the swinging Atwood’s machine using higher order variational equations. Zbl 1211.37069
Martínez, Regina; Simó, Carles
6
2011
Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19–30, 1995. Zbl 0942.00030
6
1999
Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. Zbl 1237.37023
Puig, Joaquim; Simó, Carles
6
2011
Dynamics of particle trajectories in a Rayleigh-Bénard problem. Zbl 1221.37174
Simó, C.; Puigjaner, D.; Herrero, J.; Giralt, F.
6
2010
A dynamical equivalent to the equilateral libration points of the Earth- Moon system. Zbl 0724.70007
Díez, Carles; Jorba, Àngel; Simó, Carles
6
1991
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
6
2003
Escape times across the golden cantorus of the standard map. Zbl 1502.37048
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
1
2022
Global dynamics and diffusion in the rational standard map. Zbl 1491.37001
Cincotta, Pablo M.; Simó, Carles
4
2020
Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. Zbl 1409.37059
Fontich, E.; Simó, C.; Vieiro, A.
4
2019
A vortex ring on a sphere: the case of total vorticity equal to zero. Zbl 1462.76032
Boatto, Stefanella; Simó, Carles
4
2019
Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Zbl 1409.37060
Meiss, James D.; Miguel, Narcís; Simó, Carles; Vieiro, Arturo
7
2018
On the “hidden” harmonics associated to best approximants due to quasi-periodicity in splitting phenomena. Zbl 1410.37023
Fontich, Ernest; Simó, Carles; Vieiro, Arturo
5
2018
Some questions looking for answers in dynamical systems. Zbl 07694266
Simó, Carles
2
2018
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems. Zbl 1412.70024
Kapela, Tomasz; Simó, Carles
15
2017
Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024
Martínez, Regina; Simó, Carles
12
2017
Abrupt transitions to tumor extinction: a phenotypic quasispecies model. Zbl 1382.37102
Sardanyés, Josep; Martínez, Regina; Simó, Carles; Solé, Ricard
4
2017
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. Zbl 1336.37002
6
2016
Experiments looking for theoretical predictions. Zbl 1369.37081
Simó, Carles
3
2016
Dynamical properties of Hamiltonian systems with applications to celestial mechanics. Zbl 1373.70010
Simó, Carles
1
2016
Effect of islands in diffusive properties of the standard map for large parameter values. Zbl 1376.37017
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
15
2015
Return maps, dynamical consequences and applications. Zbl 1350.37068
Martínez, Regina; Simó, Carles
5
2015
Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion. Zbl 1342.37033
Martínez, Regina; Simó, Carles
10
2014
Measuring the total amount of chaos in some Hamiltonian systems. Zbl 1299.70032
Simó, Carles
3
2014
About the unfolding of a Hopf-zero singularity. Zbl 1283.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles
25
2013
On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\). Zbl 1263.70010
Martínez, Regina; Simó, Carles
21
2013
On the stability of tetrahedral relative equilibria in the positively curved 4-body problem. Zbl 1292.70006
Diacu, Florin; Martínez, Regina; Pérez-Chavela, Ernesto; Simó, Carles
20
2013
Dynamics of 4D symplectic maps near a double resonance. Zbl 1353.37113
Gelfreich, V.; Simó, C.; Vieiro, A.
18
2013
Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Zbl 1286.37023
Gonchenko, S. V.; Simó, C.; Vieiro, A.
16
2013
Practical stability domains near \(L_{4,5}\) in the restricted three-body problem: some preliminary facts. Zbl 1305.70021
Simó, C.; Sousa-Silva, P.; Terra, M.
12
2013
From the Hénon conservative map to the Chirikov standard map for large parameter values. Zbl 1417.37191
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
10
2013
Large scale radial stability density of Hill’s equation. Zbl 1275.34077
Broer, Henk; Levi, Mark; Simo, Carles
1
2013
Computer assisted proof for normally hyperbolic invariant manifolds. Zbl 1256.37020
Capiński, Maciej J.; Simó, Carles
16
2012
Dynamical stability of quasi-periodic response solutions in planar conservative systems. Zbl 1287.37035
Hanßmann, Heinz; Simó, Carles
3
2012
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
32
2011
The dynamics of a low-order model for the Atlantic multidecadal oscillation. Zbl 1218.37117
Broer, Henk; Dijkstra, Henk; Simó, Carles; Sterk, Alef; Vitolo, Renato
11
2011
From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers. Zbl 1225.37093
Puigjaner, D.; Herrero, J.; Simó, C.; Giralt, F.
8
2011
Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones. Zbl 1217.37051
Simó, C.; Vieiro, A.
7
2011
Non-integrability of the degenerate cases of the swinging Atwood’s machine using higher order variational equations. Zbl 1211.37069
Martínez, Regina; Simó, Carles
6
2011
Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. Zbl 1237.37023
Puig, Joaquim; Simó, Carles
6
2011
Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. Zbl 1232.37012
Puig, Joaquim; Simó, Carles
5
2011
Some remarks on the abundance of stable periodic orbits inside homoclinic lobes. Zbl 1244.37039
Simó, C.; Vieiro, A.
5
2011
Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. Zbl 1183.37137
Sánchez, J.; Net, M.; Simó, C.
20
2010
A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples. Zbl 1237.37057
Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles
16
2010
Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1204.37050
Vitolo, Renato; Broer, Henk; Simó, Carles
15
2010
Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034
Broer, Henk W.; Simó, Carles; Vitolo, Renato
13
2010
Swinging Atwood Machine: experimental and numerical results, and a theoretical study. Zbl 1189.37041
Pujol, O.; Pérez, J. P.; Ramis, J. P.; Simó, C.; Simon, S.; Weil, J. A.
12
2010
A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates. Zbl 1223.37103
Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles
11
2010
New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. Zbl 1186.37101
Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A.
9
2010
Dynamics of particle trajectories in a Rayleigh-Bénard problem. Zbl 1221.37174
Simó, C.; Puigjaner, D.; Herrero, J.; Giralt, F.
6
2010
Planar radial weakly dissipative diffeomorphisms. Zbl 1311.37059
Simó, C.; Vieiro, A.
2
2010
Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. Zbl 1181.37077
Simó, C.; Vieiro, A.
25
2009
Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. Zbl 1229.37058
Martínez, R.; Simó, C.
10
2009
A numerical study of the orbits of second species of the planar circular RTBP. Zbl 1223.70022
Font, Joaquim; Nunes, Ana; Simó, Carles
4
2009
Some properties of the global behaviour of conservative low-dimensional systems. Zbl 1188.37019
Simó, Carles
1
2009
Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. Zbl 1165.37017
Broer, Henk; Simó, Carles; Vitolo, Renato
26
2008
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. Zbl 1154.37319
Broer, Henk; Simó, Carles; Vitolo, Renato
25
2008
High-precision computations of divergent asymptotic series and homoclinic phenomena. Zbl 1169.37013
Gelfreich, Vassili; Simó, Carles
18
2008
Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls. Zbl 1151.76463
Puigjaner, Dolors; Herrero, Joan; Simó, Carles; Giralt, Francesc
10
2008
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
8
2008
Thomson’s heptagon: A case of bifurcation at infinity. Zbl 1143.76404
Boatto, Stefanella; Simó, Carles
8
2008
Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032
Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei
7
2008
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1148.37309
Vitolo, R.; Broer, H. W.; Simó, C.
1
2008
Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. Zbl 1144.37023
Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles
75
2007
Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight. Zbl 1115.70008
Kapela, Tomasz; Simó, Carles
25
2007
Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397
Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V.
4
2007
Stability diagram for 4D linear periodic systems with applications to homographic solutions. Zbl 1108.34032
Martínez, Regina; Samà, Anna; Simó, Carles
19
2006
Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications. Zbl 1111.34033
Martínez, Regina; Samà, Anna; Simó, Carles
18
2006
Analytic families of reducible linear quasi-periodic differential equations. Zbl 1105.34021
Puig, Joaquim; Simó, Carles
11
2006
Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations. Zbl 1111.65112
García-Archilla, Bosco; Sánchez, Juan; Simó, Carles
3
2006
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
57
2005
Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014
Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi
26
2005
Stability of homographic solutions of the planar three-body problem with homogeneous potentials. Zbl 1326.70014
Martínez, Regina; Samà, Anna; Simó, Carles
7
2005
Quasi-periodic Hénon-like attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1132.34040
Broer, H. W.; Vitolo, R.; Simó, C.
5
2005
Existence and measure of 2-quasiperiodicity in Hamiltonaian one-and-a-half degree of freedom systems. Zbl 1102.37041
Broer, H. W.; van Noort, M.; Simó, C.
1
2005
Continuation of periodic orbits in large-scale dissipative systems. Zbl 1102.65131
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C.
1
2005
Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. Zbl 1153.76345
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C.
25
2004
Stability analysis of the flow in a cubical cavity heated from below. Zbl 1187.76432
Puigjaner, D.; Herrero, J.; Giralt, Francesc; Simó, C.
16
2004
The parametrically forced pendulum: A case study in \(1\frac12\) degree of freedom. Zbl 1061.37039
Broer, H. W.; Hoveijn, I.; van Noort, M.; Simó, C.; Vegter, G.
3
2004
Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits. Zbl 1032.37042
Cincotta, P. M.; Giordano, C. M.; Simó, C.
51
2003
Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014
Broer, Henk; Puig, Joaquim; Simó, Carles
19
2003
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
10
2003
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
6
2003
Simple choreographic motions of \(N\) bodies: a preliminary study. Zbl 1146.70333
Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles
34
2002
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307
Broer, Henk; Simó, Carles; Vitolo, Renato
33
2002
Dynamical properties of the figure eight solution of the three-body problem. Zbl 1151.70316
Simó, Carles
23
2002
Consecutive quasi-collisions in the planar circular RTBP. Zbl 1035.70005
Font, Joaquim; Nunes, Ana; Simó, Carles
10
2002
Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Zbl 0971.70004
Gómez, G.; Simó, C.; Llibre, J.; Martinez, R.
51
2001
Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points. Zbl 0969.70002
Gómez, G.; Jorba, À.; Simó, C.; Masdemont, J.
44
2001
New families of solutions in \(N\)-body problems. Zbl 1101.70009
Simó, Carles
39
2001
Dynamics and mission design near libration points. Vol. 3: Advanced methods for collinear points. Zbl 0971.70002
Gómez, Gerard; Jorba, Ángel; Simó, Carles; Masdemont, Josep
28
2001
A formal approximation of the splitting of separatrices in the classical Arnold’s example of diffusion with two equal parameters. Zbl 1001.37051
Simó, Carles; Valls, Clàudia
16
2001
Global dynamics and fast indicators. Zbl 1198.37115
Simó, Carles
11
2001
Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem. Zbl 0963.37052
Simó, C.; Stuchi, T. J.
30
2000
Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072
Broer, Henk; Simó, Carles
24
2000
Dynamics and mission design near libration points. Vol. 1: Fundamentals: The case of collinear libration points. Zbl 0971.70003
Gómez, G.; Simó, C.; Llibre, J.; Martinez, R.
14
2000
The degree of differentiability of the regularization of simultaneous binary collisions in some \(N\)-body problems. Zbl 0983.70011
Martínez, Regina; Simó, Carles
9
2000
Analytical and numerical detection of exponentially small phenomena. Zbl 0963.65136
Simó, Carles
5
2000
Regularizable and non-regularizable collisions in \(N\)-body problems. Zbl 1051.70517
Martínez, Regina; Simó, Carles; Susín, Antoni
1
2000
Simultaneous binary collisions in the planar four-body problem. Zbl 0951.70009
Martínez, Regina; Simó, Carles
8
1999
Hamiltonian systems with three or more degrees of freedom. Proceedings of the NATO Advanced Study Institute, S’Agaró, Spain, June 19–30, 1995. Zbl 0942.00030
6
1999
Conditional entropy. A tool to explore the phase space. Zbl 0968.70013
Cincotta, P.; Simó, C.
5
1999
Dynamical systems methods for space missions in a vicinity of collinear libration points. Zbl 0966.70018
Simó, Carles
5
1999
Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013
Broer, Henk; Simó, Carles; Tatjer, Joan Carles
55
1998
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
48
1998
Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019
Broer, Henk; Simó, Carles
35
1998
Effective computations in celestial mechanics and astrodynamics. Zbl 0920.70003
Simó, C.
20
1998
...and 50 more Documents
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Cited by 1,511 Authors

60 Simó, Carles
35 Llibre, Jaume
23 Xu, Junxiang
21 Jorba, Àngel
20 Gonchenko, Sergey V.
19 de la Llave, Rafael
18 Celletti, Alessandra
18 M-Seara, Tere
17 Borisov, Alekseĭ Vladimirovich
17 Broer, Henk W.
17 Mamaev, Ivan Sergeevich
17 Pérez-Chavela, Ernesto
16 Mireles-James, Jason D.
15 Diacu, Florin Nicolae
15 Guzzo, Massimiliano
15 Masdemont, Josep J.
15 Vidal, Claudio
14 Cincotta, Pablo M.
14 Fontich, Ernest
14 Vieiro, Arturo
13 Barrio, Roberto
13 Gómez, Gerard
13 Haro, Àlex
13 Kazakov, Alexey O.
13 Kuznetsov, Aleksandr Petrovich
13 Zhang, Shiqing
12 Alvarez-Ramírez, Martha
12 Delshams, Amadeu
12 Martínez, Regina
12 Turaev, Dmitry V.
11 Corbera, Montserrat
11 Dullin, Holger R.
11 Giordano, Claudia M.
11 Lega, Elena
11 Meiss, James D.
11 Przybylska, Maria
11 Yagasaki, Kazuyuki
11 Zhang, Dongfeng
10 Gonchenko, Marina S.
10 Guardia, Marcel
10 Li, Jia
10 Maciejewski, Andrzej J.
9 Andrade, Jaime
9 Cors, Josep Maria
9 García-Azpeitia, Carlos
9 Gelfreich, Vassili
9 Gidea, Marian
9 Giorgilli, Antonio
9 Gonchenko, Aleksandr Sergeevich
9 Hu, Xijun
9 Lacomba, Ernesto A.
9 Net, Marta
9 Shi, Shaoyun
9 Yan, Duokui
9 Zhu, Shuqiang
8 Calleja, Renato C.
8 Froeschlé, Claude
8 Krauskopf, Bernd
8 Lessard, Jean-Philippe
8 Moeckel, Richard
8 Ouyang, Tiancheng
8 Papadakis, Konstantinos E.
8 Rodrigues, Alexandre A. P.
8 Rodríguez-Luis, Alejandro J.
8 Sataev, Igor’ Rustamovich
8 Stankevich, Nataliya Vladimirovna
8 Sterk, Alef E.
8 Topputo, Francesco
8 Villanueva, Jordi
8 Zgliczyński, Piotr
7 Baldomá, Inmaculada
7 Capinski, Maciej J.
7 Combot, Thierry
7 Delgado, Joaquín F.
7 Jorba-Cuscó, Marc
7 Kilin, Aleksandr Aleksandrovich
7 Li, Wenlei
7 Luque, Alejandro
7 Martín, Pau
7 Mondelo, Josep-Maria
7 Morales-Ruiz, Juan José
7 Ou, Yuwei
7 Ovsyannikov, Ivan I.
7 Prokopenya, Alexander N.
7 Xie, Zhifu
6 Algaba, Antonio
6 Barrabés, Esther
6 Kaloshin, Vadim Yu.
6 Locatelli, Ugo
6 Long, Yiming
6 Morozov, Al’bert Dmitrievich
6 Neĭshtadt, Anatoliĭ Iserovich
6 Osinga, Hinke Maria
6 Si, Jianguo
6 Turukina, Ludmila V.
6 van Veen, Lennaert
6 Wilczak, Daniel
6 Xu, Ming
6 You, Jiangong
6 Zotos, Euaggelos E.
...and 1,411 more Authors
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Cited in 202 Serials

166 Celestial Mechanics and Dynamical Astronomy
111 Physica D
79 Journal of Differential Equations
76 Regular and Chaotic Dynamics
71 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
50 Communications in Nonlinear Science and Numerical Simulation
43 Nonlinearity
38 Chaos
32 Qualitative Theory of Dynamical Systems
30 Journal of Dynamics and Differential Equations
27 Journal of Nonlinear Science
27 SIAM Journal on Applied Dynamical Systems
26 Journal of Mathematical Physics
24 Discrete and Continuous Dynamical Systems
23 Chaos, Solitons and Fractals
19 Communications in Mathematical Physics
16 Journal of Fluid Mechanics
15 Archive for Rational Mechanics and Analysis
15 Discrete and Continuous Dynamical Systems. Series B
12 Journal of Geometry and Physics
12 Applied Mathematics and Computation
12 Nonlinear Dynamics
11 Journal of Mathematical Analysis and Applications
10 Physics Letters. A
10 Proceedings of the American Mathematical Society
10 Celestial Mechanics
10 Indagationes Mathematicae. New Series
10 Dynamical Systems
9 Ergodic Theory and Dynamical Systems
9 Acta Applicandae Mathematicae
8 Journal of Statistical Physics
8 Transactions of the American Mathematical Society
8 Abstract and Applied Analysis
7 Journal of Computational Physics
6 Astrophysics and Space Science
6 Advances in Mathematics
6 Annales de l’Institut Fourier
6 Journal of Difference Equations and Applications
6 Nonlinear Analysis. Real World Applications
5 Programming and Computer Software
5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
5 Journal of Mathematical Sciences (New York)
5 Communications on Pure and Applied Analysis
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Inventiones Mathematicae
4 Journal of Computational and Applied Mathematics
4 Journal of High Energy Physics
4 Journal of Nonlinear Mathematical Physics
4 Differential Equations
4 Foundations of Computational Mathematics
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Advances in Mathematical Physics
4 Science China. Mathematics
4 Journal of Computational Dynamics
4 Nonlinear Analysis. Theory, Methods & Applications
4 Nelineĭnaya Dinamika
4 Russian Journal of Nonlinear Dynamics
3 Journal of Applied Mathematics and Mechanics
3 Physica A
3 Physics Reports
3 Journal of Symbolic Computation
3 Russian Journal of Mathematical Physics
3 Mathematical Problems in Engineering
3 Doklady Mathematics
3 European Journal of Mechanics. B. Fluids
3 Acta Mathematica Sinica. English Series
3 Russian Physics Journal
3 Communications in Contemporary Mathematics
3 Lobachevskii Journal of Mathematics
3 International Journal of Geometric Methods in Modern Physics
3 Proceedings of the Steklov Institute of Mathematics
3 Acta Mechanica Sinica
3 Mathematics in Computer Science
3 Journal of Physics A: Mathematical and Theoretical
3 Discrete and Continuous Dynamical Systems. Series S
3 Journal of Function Spaces
2 Acta Mechanica
2 Classical and Quantum Gravity
2 Computers & Mathematics with Applications
2 Fluid Dynamics
2 Israel Journal of Mathematics
2 Journal of Mathematical Biology
2 Mathematical Notes
2 Reports on Mathematical Physics
2 Russian Mathematical Surveys
2 Duke Mathematical Journal
2 Journal of Functional Analysis
2 Mathematische Annalen
2 Memoirs of the American Mathematical Society
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Japan Journal of Applied Mathematics
2 Applied Mathematics Letters
2 Science in China. Series A
2 Japan Journal of Industrial and Applied Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 Annales de l’Institut Henri Poincaré. Physique Théorique
2 Experimental Mathematics
2 Electronic Research Announcements of the American Mathematical Society
2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
...and 102 more Serials
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Cited in 48 Fields

793 Dynamical systems and ergodic theory (37-XX)
720 Mechanics of particles and systems (70-XX)
340 Ordinary differential equations (34-XX)
100 Numerical analysis (65-XX)
73 Fluid mechanics (76-XX)
53 Partial differential equations (35-XX)
27 Biology and other natural sciences (92-XX)
23 Quantum theory (81-XX)
20 Differential geometry (53-XX)
19 Statistical mechanics, structure of matter (82-XX)
19 Astronomy and astrophysics (85-XX)
17 Difference and functional equations (39-XX)
17 Computer science (68-XX)
16 Field theory and polynomials (12-XX)
16 Relativity and gravitational theory (83-XX)
16 Systems theory; control (93-XX)
15 Global analysis, analysis on manifolds (58-XX)
15 Mechanics of deformable solids (74-XX)
14 Classical thermodynamics, heat transfer (80-XX)
13 Geophysics (86-XX)
11 Operator theory (47-XX)
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10 Optics, electromagnetic theory (78-XX)
8 Information and communication theory, circuits (94-XX)
7 History and biography (01-XX)
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1 Mathematical logic and foundations (03-XX)
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