Edit Profile (opens in new tab) Simó, Carles Co-Author Distance Author ID: simo.carles Published as: Simó, Carles; Simó, C.; Simo, Carles; Simo, Carlos; Simo, C. more...less Homepage: http://www.bgsmath.cat/fitxa-carles-simo/ External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 176 Publications since 1973, including 5 Books 4 Contributions as Editor · 1 Further Contribution Co-Authors: 90 Co-Authors with 148 Joint Publications 2,122 Co-Co-Authors 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 all top 5 Fields 127 Dynamical systems and ergodic theory (37-XX) 74 Mechanics of particles and systems (70-XX) 38 Ordinary differential equations (34-XX) 8 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 7 General and overarching topics; collections (00-XX) 5 Partial differential equations (35-XX) 4 General topology (54-XX) 3 Difference and functional equations (39-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Differential geometry (53-XX) 1 Optics, electromagnetic theory (78-XX) 1 Geophysics (86-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications 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 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) 10 Several complex variables and analytic spaces (32-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Optics, electromagnetic theory (78-XX) 8 Information and communication theory, circuits (94-XX) 7 History and biography (01-XX) 5 Algebraic geometry (14-XX) 5 Group theory and generalizations (20-XX) 5 Special functions (33-XX) 5 General topology (54-XX) 4 Topological groups, Lie groups (22-XX) 3 Nonassociative rings and algebras (17-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Probability theory and stochastic processes (60-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Statistics (62-XX) 1 Operations research, mathematical programming (90-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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