Edit Profile (opens in new tab) Simó, Carles Compute Distance To: Compute 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: 174 Publications since 1973, including 5 Books 4 Contributions as Editor · 1 Further Contribution Co-Authors: 90 Co-Authors with 147 Joint Publications 1,980 Co-Co-Authors all top 5 Co-Authors 30 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 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 Cincotta, Pablo M. 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 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 Giordano, Claudia M. 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 9 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 4 Discrete and Continuous Dynamical Systems 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 125 Dynamical systems and ergodic theory (37-XX) 73 Mechanics of particles and systems (70-XX) 38 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 6 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 142 Publications have been cited 2,003 times in 1,230 Documents Cited by ▼ Year ▼ On the reducibility of linear differential equations with quasiperiodic coefficients. Zbl 0761.34026Jorba, Àngel; Simó, Carles 67 1992 Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. Zbl 1144.37023Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles 63 2007 Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem. Zbl 0675.70027Giorgilli, Antonio; Delshams, Amadeo; Fontich, Ernest; Galgani, Luigi; Simó, Carles 60 1989 Relative equilibrium solutions in the four body problem. Zbl 0394.70009Simo, Carles 60 1978 On quasi-periodic perturbations of elliptic equilibrium points. Zbl 0863.34043Jorba, Àngel; Simó, Carles 53 1996 Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013Broer, Henk; Simó, Carles; Tatjer, Joan Carles 52 1998 Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D. 51 2005 Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048Simó, C. 45 1998 Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits. Zbl 1032.37042Cincotta, P. M.; Giordano, C. M.; Simó, C. 45 2003 Bifurcation of spatial central configurations from planar ones. Zbl 0830.34032Moeckel, Richard; Simó, Carles 39 1995 Oscillatory solutions in the planar restricted three-body problem. Zbl 0505.70010Llibre, Jaume; Simó, Carles 38 1980 Transversality of the invariant manifolds associated to the Lyapunov family of periodic orbits near \(L_ 2\) in the restricted three-body problem. Zbl 0594.70013Llibre, Jaume; Martínez, Regina; Simó, Carles 37 1985 Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Zbl 0971.70004Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. 37 2001 Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032Broer, Henk; Roussarrie, Robert; Simó, Carles 34 1996 The splitting of separatrices for analytic diffeomorphisms. Zbl 0706.58061Fontich, E.; Simó, C. 33 1990 Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points. Zbl 0969.70002Gómez, G.; Jorba, À.; Simó, C.; Masdemont, J. 32 2001 Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019Broer, Henk; Simó, Carles 32 1998 New families of solutions in \(N\)-body problems. Zbl 1101.70009Simó, Carles 29 2001 Simple choreographic motions of \(N\) bodies: a preliminary study. Zbl 1146.70333Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles 29 2002 Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem. Zbl 0963.37052Simó, C.; Stuchi, T. J. 26 2000 Study of the transfer from the Earth to a halo orbit around the equilibrium point \(L_ 1\). Zbl 0780.70007Gómez, G.; Jorba, A.; Masdemont, J.; Simó, C. 26 1993 Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087Vitolo, Renato; Broer, Henk; Simó, Carles 26 2011 Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307Broer, Henk; Simó, Carles; Vitolo, Renato 26 2002 Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight. Zbl 1115.70008Kapela, Tomasz; Simó, Carles 24 2007 Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. Zbl 1165.37017Broer, Henk; Simó, Carles; Vitolo, Renato 24 2008 The bicircular model near the triangular libration points of the RTBP. Zbl 0883.70008Simó, Carles; Gómez, Gerard; Jorba, Àngel; Masdemont, Josep 23 1995 An obstruction method for the destruction of invariant curves. Zbl 0612.58039Olvera, Arturo; Simó, Carles 23 1987 Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. Zbl 1181.37077Simó, C.; Vieiro, A. 23 2009 Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi 23 2005 Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072Broer, Henk; Simó, Carles 23 2000 Dynamics and mission design near libration points. Vol. 3: Advanced methods for collinear points. Zbl 0971.70002Gómez, Gerard; Jorba, Ángel; Simó, Carles; Masdemont, Josep 22 2001 Picard-Vessiot theory and Ziglin’s theorem. Zbl 0799.58035Morales, J. J.; Simó, C. 22 1994 Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. Zbl 1153.76345Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C. 22 2004 About the unfolding of a Hopf-zero singularity. Zbl 1283.34039Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles 22 2013 The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. Zbl 1154.37319Broer, Henk; Simó, Carles; Vitolo, Renato 21 2008 Some homoclinic phenomena in the three-body problem. Zbl 0445.70005Llibre, Jaume; Simó, Carles 20 1980 On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\). Zbl 1263.70010Martínez, Regina; Simó, Carles 20 2013 “Crossroad area – spring area” transition. I: Parameter plane representation. Zbl 0758.58025Carcasses, J. P.; Mira, C.; Bosch, M.; Simó, C.; Tatjer, J. C. 18 1991 Dynamical properties of the figure eight solution of the three-body problem. Zbl 1151.70316Simó, Carles 18 2002 Dynamics of 4D symplectic maps near a double resonance. Zbl 1353.37113Gelfreich, V.; Simó, C.; Vieiro, A. 18 2013 Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014Broer, Henk; Puig, Joaquim; Simó, Carles 18 2003 Effective computations in celestial mechanics and astrodynamics. Zbl 0920.70003Simó, C. 18 1998 Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. Zbl 1183.37137Sánchez, J.; Net, M.; Simó, C. 17 2010 Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations. Zbl 0866.58034Morales-Ruiz, Juan J.; Simó, Carles 17 1996 On the stability of tetrahedral relative equilibria in the positively curved 4-body problem. Zbl 1292.70006Diacu, Florin; Martínez, Regina; Pérez-Chavela, Ernesto; Simó, Carles 17 2013 Stability diagram for 4D linear periodic systems with applications to homographic solutions. Zbl 1108.34032Martínez, Regina; Samà, Anna; Simó, Carles 16 2006 High-precision computations of divergent asymptotic series and homoclinic phenomena. Zbl 1169.37013Gelfreich, Vassili; Simó, Carles 16 2008 A formal approximation of the splitting of separatrices in the classical Arnold’s example of diffusion with two equal parameters. Zbl 1001.37051Simó, Carles; Valls, Clàudia 15 2001 Qualitative study of the planar isosceles three-body problem. Zbl 0657.70015Simó, Carles; Martínez, Regina 15 1987 Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications. Zbl 1111.34033Martínez, Regina; Samà, Anna; Simó, Carles 15 2006 Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Zbl 1286.37023Gonchenko, S. V.; Simó, C.; Vieiro, A. 15 2013 Stability analysis of the flow in a cubical cavity heated from below. Zbl 1187.76432Puigjaner, D.; Herrero, J.; Giralt, Francesc; Simó, C. 14 2004 Effect of islands in diffusive properties of the standard map for large parameter values. Zbl 1376.37017Miguel, Narcís; Simó, Carles; Vieiro, Arturo 14 2015 A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples. Zbl 1237.37057Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles 13 2010 Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1204.37050Vitolo, Renato; Broer, Henk; Simó, Carles 13 2010 Computer assisted proof for normally hyperbolic invariant manifolds. Zbl 1256.37020Capiński, Maciej J.; Simó, Carles 13 2012 Invariant manifolds for near identity differentiable maps and splitting of separatrices. Zbl 0706.58060Fontich, E.; Simó, C. 13 1990 Attractors in a Šil’nikov-Hopf scenario and a related one-dimensional map. Zbl 0783.58043Bosch, Miquel; Simó, Carles 12 1993 Swinging Atwood Machine: experimental and numerical results, and a theoretical study. Zbl 1189.37041Pujol, O.; Pérez, J. P.; Ramis, J. P.; Simó, C.; Simon, S.; Weil, J. A. 12 2010 Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems. Zbl 1412.70024Kapela, Tomasz; Simó, Carles 12 2017 Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024Martínez, Regina; Simó, Carles 11 2017 Non integrability of the \(J_ 2\) problem. Zbl 0767.70015Irigoyen, Maylis; Simó, Carles 11 1993 Dynamics and mission design near libration points. Vol. 1: Fundamentals: The case of collinear libration points. Zbl 0971.70003Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. 11 2000 Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034Broer, Henk W.; Simó, Carles; Vitolo, Renato 10 2010 Global dynamics and fast indicators. Zbl 1198.37115Simó, Carles 10 2001 Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls. Zbl 1151.76463Puigjaner, Dolors; Herrero, Joan; Simó, Carles; Giralt, Francesc 10 2008 “Crossroad area – spring area” transition. II: Foliated parametric representation. Zbl 0876.58035Mira, C.; Carcassès, J. P.; Bosch, M.; Simó, C.; Tatjer, J. C. 10 1991 A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates. Zbl 1223.37103Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles 9 2010 Practical stability domains near \(L_{4,5}\) in the restricted three-body problem: some preliminary facts. Zbl 1305.70021Simó, C.; Sousa-Silva, P.; Terra, M. 9 2013 Consecutive quasi-collisions in the planar circular RTBP. Zbl 1035.70005Font, Joaquim; Nunes, Ana; Simó, Carles 9 2002 Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion. Zbl 1342.37033Martínez, Regina; Simó, Carles 9 2014 Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie 9 2003 The dynamics of a low-order model for the Atlantic multidecadal oscillation. Zbl 1218.37117Broer, Henk; Dijkstra, Henk; Simó, Carles; Sterk, Alef; Vitolo, Renato 9 2011 Masses for which triple collision is regularizable. Zbl 0422.70015Simo, Carles 8 1980 On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512Broer, H. W.; Roussarie, R.; Simó, C. 8 1993 Regularization of simultaneous binary collisions in the \(n\)-body problem. Zbl 0764.70011Simó, Carles; Lacomba, Ernesto A. 8 1992 Twist periodic orbits and topological entropy for continuous maps of the circle of degree one which have a fixed point. Zbl 0592.54037Alsedà, Lluís; Llibre, Jaume; Misiurewicz, Michał; Simó, Carles 8 1985 Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. Zbl 1229.37058Martínez, R.; Simó, C. 8 2009 On stability loss delay for a periodic trajectory. Zbl 0844.34045Neishtadt, A. I.; Simó, C.; Treschev, D. V. 8 1996 The degree of differentiability of the regularization of simultaneous binary collisions in some \(N\)-body problems. Zbl 0983.70011Martínez, Regina; Simó, Carles 8 2000 Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406Simó, Carles; Treschev, Dmitri 8 2008 From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers. Zbl 1225.37093Puigjaner, D.; Herrero, J.; Simó, C.; Giralt, F. 8 2011 From the Hénon conservative map to the Chirikov standard map for large parameter values. Zbl 1417.37191Miguel, Narcís; Simó, Carles; Vieiro, Arturo 7 2013 New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. Zbl 1186.37101Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A. 7 2010 Analytic families of reducible linear quasi-periodic differential equations. Zbl 1105.34021Puig, Joaquim; Simó, Carles 7 2006 Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones. Zbl 1217.37051Simó, C.; Vieiro, A. 7 2011 Thomson’s heptagon: A case of bifurcation at infinity. Zbl 1143.76404Boatto, Stefanella; Simó, Carles 7 2008 Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei 7 2008 Simultaneous binary collisions in the planar four-body problem. Zbl 0951.70009Martínez, Regina; Simó, Carles 6 1999 Boundary manifolds for energy surfaces in celestial mechanics. Zbl 0504.70010Lacomba, Ernesto A.; Simo, Carles 6 1982 Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej 6 2003 Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Zbl 1409.37060Meiss, James D.; Miguel, Narcís; Simó, Carles; Vieiro, Arturo 6 2018 A dynamical equivalent to the equilateral libration points of the Earth- Moon system. Zbl 0724.70007Díez, Carles; Jorba, Àngel; Simó, Carles 6 1991 Characterization of transversal homothetic solutions in the n-body problem. Zbl 0473.70009Simo, Carles; Llibre, Jaume 5 1981 Effective computations in Hamiltonian dynamics. Zbl 0965.70007Simó, Carles 5 1996 Conditional entropy. A tool to explore the phase space. Zbl 0968.70013Cincotta, P.; Simó, C. 5 1999 Analysis of some degenerate quadruple collisions. Zbl 0536.70013Simó, Carles; Lacomba, Ernesto 5 1982 Some ideas about strange attractors. Zbl 0517.58026Garrido, L.; Simo, C. 5 1983 Some remarks on the abundance of stable periodic orbits inside homoclinic lobes. Zbl 1244.37039Simó, C.; Vieiro, A. 5 2011 Non-integrability of the degenerate cases of the swinging Atwood’s machine using higher order variational equations. Zbl 1211.37069Martínez, Regina; Simó, Carles 5 2011 Global dynamics and diffusion in the rational standard map. Zbl 1491.37001Cincotta, Pablo M.; Simó, Carles 3 2020 Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. Zbl 1409.37059Fontich, E.; Simó, C.; Vieiro, A. 3 2019 A vortex ring on a sphere: the case of total vorticity equal to zero. Zbl 1462.76032Boatto, Stefanella; Simó, Carles 2 2019 Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Zbl 1409.37060Meiss, James D.; Miguel, Narcís; Simó, Carles; Vieiro, Arturo 6 2018 On the “hidden” harmonics associated to best approximants due to quasi-periodicity in splitting phenomena. Zbl 1410.37023Fontich, Ernest; Simó, Carles; Vieiro, Arturo 3 2018 Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems. Zbl 1412.70024Kapela, Tomasz; Simó, Carles 12 2017 Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024Martínez, Regina; Simó, Carles 11 2017 Abrupt transitions to tumor extinction: a phenotypic quasispecies model. Zbl 1382.37102Sardanyés, 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 4 2016 Experiments looking for theoretical predictions. Zbl 1369.37081Simó, Carles 1 2016 Effect of islands in diffusive properties of the standard map for large parameter values. Zbl 1376.37017Miguel, Narcís; Simó, Carles; Vieiro, Arturo 14 2015 Return maps, dynamical consequences and applications. Zbl 1350.37068Martínez, Regina; Simó, Carles 3 2015 Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion. Zbl 1342.37033Martínez, Regina; Simó, Carles 9 2014 Measuring the total amount of chaos in some Hamiltonian systems. Zbl 1299.70032Simó, Carles 2 2014 About the unfolding of a Hopf-zero singularity. Zbl 1283.34039Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles 22 2013 On the stability of the Lagrangian homographic solutions in a curved three-body problem on \(\mathbb{S}^2\). Zbl 1263.70010Martínez, Regina; Simó, Carles 20 2013 Dynamics of 4D symplectic maps near a double resonance. Zbl 1353.37113Gelfreich, V.; Simó, C.; Vieiro, A. 18 2013 On the stability of tetrahedral relative equilibria in the positively curved 4-body problem. Zbl 1292.70006Diacu, Florin; Martínez, Regina; Pérez-Chavela, Ernesto; Simó, Carles 17 2013 Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Zbl 1286.37023Gonchenko, S. V.; Simó, C.; Vieiro, A. 15 2013 Practical stability domains near \(L_{4,5}\) in the restricted three-body problem: some preliminary facts. Zbl 1305.70021Simó, C.; Sousa-Silva, P.; Terra, M. 9 2013 From the Hénon conservative map to the Chirikov standard map for large parameter values. Zbl 1417.37191Miguel, Narcís; Simó, Carles; Vieiro, Arturo 7 2013 Large scale radial stability density of Hill’s equation. Zbl 1275.34077Broer, Henk; Levi, Mark; Simo, Carles 1 2013 Computer assisted proof for normally hyperbolic invariant manifolds. Zbl 1256.37020Capiński, Maciej J.; Simó, Carles 13 2012 Dynamical stability of quasi-periodic response solutions in planar conservative systems. Zbl 1287.37035Hanßmann, Heinz; Simó, Carles 2 2012 Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087Vitolo, Renato; Broer, Henk; Simó, Carles 26 2011 The dynamics of a low-order model for the Atlantic multidecadal oscillation. Zbl 1218.37117Broer, Henk; Dijkstra, Henk; Simó, Carles; Sterk, Alef; Vitolo, Renato 9 2011 From steady solutions to chaotic flows in a Rayleigh-Bénard problem at moderate Rayleigh numbers. Zbl 1225.37093Puigjaner, 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 1217.37051Simó, C.; Vieiro, A. 7 2011 Some remarks on the abundance of stable periodic orbits inside homoclinic lobes. Zbl 1244.37039Simó, C.; Vieiro, A. 5 2011 Non-integrability of the degenerate cases of the swinging Atwood’s machine using higher order variational equations. Zbl 1211.37069Martínez, Regina; Simó, Carles 5 2011 Resonance tongues and spectral gaps in quasi-periodic Schrödinger operators with one or more frequencies. A numerical exploration. Zbl 1237.37023Puig, Joaquim; Simó, Carles 4 2011 Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. Zbl 1232.37012Puig, Joaquim; Simó, Carles 4 2011 Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. Zbl 1183.37137Sánchez, J.; Net, M.; Simó, C. 17 2010 A collocation method for the numerical Fourier analysis of quasi-periodic functions. I: Numerical tests and examples. Zbl 1237.37057Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles 13 2010 Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1204.37050Vitolo, Renato; Broer, Henk; Simó, Carles 13 2010 Swinging Atwood Machine: experimental and numerical results, and a theoretical study. Zbl 1189.37041Pujol, O.; Pérez, J. P.; Ramis, J. P.; Simó, C.; Simon, S.; Weil, J. A. 12 2010 Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034Broer, Henk W.; Simó, Carles; Vitolo, Renato 10 2010 A collocation method for the numerical Fourier analysis of quasi-periodic functions. II: Analytical error estimates. Zbl 1223.37103Gómez, Gerard; Mondelo, Josep-Maria; Simó, Carles 9 2010 New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. Zbl 1186.37101Sterk, A. E.; Vitolo, R.; Broer, H. W.; Simó, C.; Dijkstra, H. A. 7 2010 Dynamics of particle trajectories in a Rayleigh-Bénard problem. Zbl 1221.37174Simó, C.; Puigjaner, D.; Herrero, J.; Giralt, F. 5 2010 Planar radial weakly dissipative diffeomorphisms. Zbl 1311.37059Simó, C.; Vieiro, A. 2 2010 Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. Zbl 1181.37077Simó, C.; Vieiro, A. 23 2009 Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. Zbl 1229.37058Martínez, R.; Simó, C. 8 2009 A numerical study of the orbits of second species of the planar circular RTBP. Zbl 1223.70022Font, Joaquim; Nunes, Ana; Simó, Carles 2 2009 Some properties of the global behaviour of conservative low-dimensional systems. Zbl 1188.37019Simó, Carles 1 2009 Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. Zbl 1165.37017Broer, Henk; Simó, Carles; Vitolo, Renato 24 2008 The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms: The Arnol’d resonance web. Zbl 1154.37319Broer, Henk; Simó, Carles; Vitolo, Renato 21 2008 High-precision computations of divergent asymptotic series and homoclinic phenomena. Zbl 1169.37013Gelfreich, Vassili; Simó, Carles 16 2008 Bifurcation analysis of steady Rayleigh-Bénard convection in a cubical cavity with conducting sidewalls. Zbl 1151.76463Puigjaner, Dolors; Herrero, Joan; Simó, Carles; Giralt, Francesc 10 2008 Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406Simó, Carles; Treschev, Dmitri 8 2008 Thomson’s heptagon: A case of bifurcation at infinity. Zbl 1143.76404Boatto, Stefanella; Simó, Carles 7 2008 Periodic orbits and stability islands in chaotic seas created by separatrix crossings in slow-fast systems. Zbl 1149.37032Neishtadt, Anatoly; Simó, Carles; Treschev, Dmitry; Vasiliev, Alexei 7 2008 The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1148.37309Vitolo, R.; Broer, H. W.; Simó, C. 1 2008 Integrability of Hamiltonian systems and differential Galois groups of higher variational equations. Zbl 1144.37023Morales-Ruiz, Juan J.; Ramis, Jean-Pierre; Simó, Carles 63 2007 Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight. Zbl 1115.70008Kapela, Tomasz; Simó, Carles 24 2007 Stability islands in domains of separatrix crossings in slow-fast Hamiltonian systems. Zbl 1153.37397Vasiliev, A. A.; Neishtadt, A. I.; Simó, C.; Treschev, D. V. 3 2007 Stability diagram for 4D linear periodic systems with applications to homographic solutions. Zbl 1108.34032Martínez, Regina; Samà, Anna; Simó, Carles 16 2006 Analysis of the stability of a family of singular-limit linear periodic systems in \(\mathbb {R}^4\). Applications. Zbl 1111.34033Martínez, Regina; Samà, Anna; Simó, Carles 15 2006 Analytic families of reducible linear quasi-periodic differential equations. Zbl 1105.34021Puig, Joaquim; Simó, Carles 7 2006 Krylov methods and determinants for detecting bifurcations in one parameter dependent partial differential equations. Zbl 1111.65112García-Archilla, Bosco; Sánchez, Juan; Simó, Carles 2 2006 Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D. 51 2005 Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi 23 2005 Stability of homographic solutions of the planar three-body problem with homogeneous potentials. Zbl 1326.70014Martínez, Regina; Samà, Anna; Simó, Carles 5 2005 Quasi-periodic Hénon-like attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1132.34040Broer, H. W.; Vitolo, R.; Simó, C. 2 2005 Existence and measure of 2-quasiperiodicity in Hamiltonaian one-and-a-half degree of freedom systems. Zbl 1102.37041Broer, H. W.; van Noort, M.; Simó, C. 1 2005 Continuation of periodic orbits in large-scale dissipative systems. Zbl 1102.65131Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C. 1 2005 Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. Zbl 1153.76345Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C. 22 2004 Stability analysis of the flow in a cubical cavity heated from below. Zbl 1187.76432Puigjaner, D.; Herrero, J.; Giralt, Francesc; Simó, C. 14 2004 The parametrically forced pendulum: A case study in \(1\frac12\) degree of freedom. Zbl 1061.37039Broer, H. W.; Hoveijn, I.; van Noort, M.; Simó, C.; Vegter, G. 2 2004 Phase space structure of multi-dimensional systems by means of the mean exponential growth factor of nearby orbits. Zbl 1032.37042Cincotta, P. M.; Giordano, C. M.; Simó, C. 45 2003 Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014Broer, Henk; Puig, Joaquim; Simó, Carles 18 2003 Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie 9 2003 Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej 6 2003 Simple choreographic motions of \(N\) bodies: a preliminary study. Zbl 1146.70333Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles 29 2002 Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307Broer, Henk; Simó, Carles; Vitolo, Renato 26 2002 Dynamical properties of the figure eight solution of the three-body problem. Zbl 1151.70316Simó, Carles 18 2002 Consecutive quasi-collisions in the planar circular RTBP. Zbl 1035.70005Font, Joaquim; Nunes, Ana; Simó, Carles 9 2002 Dynamics and mission design near libration points. Vol. 2: Fundamentals: The case of triangular libration points. Zbl 0971.70004Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. 37 2001 Dynamics and mission design near libration points. Vol. 4: Advanced methods for triangular points. Zbl 0969.70002Gómez, G.; Jorba, À.; Simó, C.; Masdemont, J. 32 2001 New families of solutions in \(N\)-body problems. Zbl 1101.70009Simó, Carles 29 2001 Dynamics and mission design near libration points. Vol. 3: Advanced methods for collinear points. Zbl 0971.70002Gómez, Gerard; Jorba, Ángel; Simó, Carles; Masdemont, Josep 22 2001 A formal approximation of the splitting of separatrices in the classical Arnold’s example of diffusion with two equal parameters. Zbl 1001.37051Simó, Carles; Valls, Clàudia 15 2001 Global dynamics and fast indicators. Zbl 1198.37115Simó, Carles 10 2001 Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem. Zbl 0963.37052Simó, C.; Stuchi, T. J. 26 2000 Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072Broer, Henk; Simó, Carles 23 2000 Dynamics and mission design near libration points. Vol. 1: Fundamentals: The case of collinear libration points. Zbl 0971.70003Gómez, G.; Simó, C.; Llibre, J.; Martinez, R. 11 2000 The degree of differentiability of the regularization of simultaneous binary collisions in some \(N\)-body problems. Zbl 0983.70011Martínez, Regina; Simó, Carles 8 2000 Analytical and numerical detection of exponentially small phenomena. Zbl 0963.65136Simó, Carles 4 2000 Simultaneous binary collisions in the planar four-body problem. Zbl 0951.70009Martínez, Regina; Simó, Carles 6 1999 Conditional entropy. A tool to explore the phase space. Zbl 0968.70013Cincotta, P.; Simó, C. 5 1999 Dynamical systems methods for space missions in a vicinity of collinear libration points. Zbl 0966.70018Simó, Carles 4 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 4 1999 Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013Broer, Henk; Simó, Carles; Tatjer, Joan Carles 52 1998 Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048Simó, C. 45 1998 Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019Broer, Henk; Simó, Carles 32 1998 Effective computations in celestial mechanics and astrodynamics. Zbl 0920.70003Simó, C. 18 1998 Reduction to the central variety around a collinear equilibrium point in the restricted three-body problem. Zbl 0960.70505Cobos, Jordi; Simó, Carles 2 1998 Monte Carlo methods and equirepartition for the numerical approximation of partial differential equations. Zbl 0960.65536Garcia, N.; Simó, C. 1 1998 Visualization of a hyperbolic structure in area preserving maps. Zbl 0922.58059Giorgilli, A.; Lazutkin, V. F.; Simó, C. 2 1997 Homoclinic orbits in the complex domain. Zbl 0886.58047Lazutkin, V. F.; Simó, C. 1 1997 ...and 42 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,369 Authors 55 Simó, Carles 32 Llibre, Jaume 20 Gonchenko, Sergey V. 20 Xu, Junxiang 19 Jorba, Àngel 18 de la Llave, Rafael 17 M-Seara, Tere 16 Pérez-Chavela, Ernesto 15 Broer, Henk W. 15 Celletti, Alessandra 15 Diacu, Florin Nicolae 14 Borisov, Alekseĭ Vladimirovich 14 Mireles-James, Jason D. 14 Vidal, Claudio 13 Cincotta, Pablo M. 13 Fontich, Ernest 13 Guzzo, Massimiliano 13 Mamaev, Ivan Sergeevich 13 Vieiro, Arturo 13 Zhang, Shiqing 12 Alvarez-Ramírez, Martha 12 Barrio, Roberto 12 Delshams, Amadeu 12 Kazakov, Alexey O. 12 Martínez, Regina 12 Masdemont, Josep J. 11 Haro, Àlex 11 Kuznetsov, Aleksandr Petrovich 11 Turaev, Dmitry V. 10 Dullin, Holger R. 10 Giordano, Claudia M. 10 Gómez, Gerard 10 Gonchenko, Marina S. 10 Lega, Elena 10 Li, Jia 9 Corbera, Montserrat 9 García-Azpeitia, Carlos 9 Gelfreich, Vassili 9 Gidea, Marian 9 Giorgilli, Antonio 9 Guardia, Marcel 9 Lacomba, Ernesto A. 9 Meiss, James D. 9 Przybylska, Maria 9 Yan, Duokui 9 Zhang, Dongfeng 9 Zhu, Shuqiang 8 Froeschlé, Claude 8 Hu, Xijun 8 Lessard, Jean-Philippe 8 Maciejewski, Andrzej J. 8 Net, Marta 8 Ouyang, Tiancheng 8 Papadakis, Konstantinos E. 8 Rodríguez-Luis, Alejandro J. 8 Shi, Shaoyun 8 Villanueva, Jordi 8 Zgliczyński, Piotr 7 Calleja, Renato C. 7 Cors, Josep Maria 7 Gonchenko, Aleksandr Sergeevich 7 Krauskopf, Bernd 7 Li, Wenlei 7 Luque, Alejandro 7 Martín, Pau 7 Ovsyannikov, Ivan I. 7 Prokopenya, Alexander N. 7 Sataev, Igor’ Rustamovich 7 Sterk, Alef E. 7 Topputo, Francesco 7 Yagasaki, Kazuyuki 6 Algaba, Antonio 6 Andrade, Jaime 6 Baldomá, Inmaculada 6 Capinski, Maciej J. 6 Combot, Thierry 6 Kaloshin, Vadim Yu. 6 Moeckel, Richard 6 Morales-Ruiz, Juan José 6 Morozov, Al’bert Dmitrievich 6 Ou, Yuwei 6 Rodrigues, Alexandre A. P. 6 Si, Jianguo 6 Stankevich, Nataliya Vladimirovna 6 van Veen, Lennaert 6 Xie, Zhifu 6 Xu, Ming 6 You, Jiangong 5 Barrabés, Esther 5 Bengochea, Abimael 5 Blesa, Fernando 5 Chen, Jian 5 Delgado, Joaquín F. 5 Doedel, Eusebius J. 5 Féjoz, Jacques 5 Figueras, Jordi-Lluís 5 Gutiérrez, Pere 5 Ibáñez, Santiago 5 Inaba, Naohiko 5 Jorba-Cuscó, Marc ...and 1,269 more Authors all top 5 Cited in 186 Serials 148 Celestial Mechanics and Dynamical Astronomy 106 Physica D 71 Journal of Differential Equations 71 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 66 Regular and Chaotic Dynamics 39 Communications in Nonlinear Science and Numerical Simulation 38 Chaos 29 Nonlinearity 29 Qualitative Theory of Dynamical Systems 27 Journal of Dynamics and Differential Equations 25 Journal of Nonlinear Science 22 Chaos, Solitons and Fractals 21 Journal of Mathematical Physics 20 Discrete and Continuous Dynamical Systems 19 Communications in Mathematical Physics 19 SIAM Journal on Applied Dynamical Systems 15 Journal of Fluid Mechanics 13 Archive for Rational Mechanics and Analysis 13 Discrete and Continuous Dynamical Systems. 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Symmetry, Integrability and Geometry: Methods and Applications ...and 86 more Serials all top 5 Cited in 47 Fields 706 Dynamical systems and ergodic theory (37-XX) 623 Mechanics of particles and systems (70-XX) 315 Ordinary differential equations (34-XX) 92 Numerical analysis (65-XX) 68 Fluid mechanics (76-XX) 47 Partial differential equations (35-XX) 23 Biology and other natural sciences (92-XX) 17 Differential geometry (53-XX) 17 Statistical mechanics, structure of matter (82-XX) 16 Computer science (68-XX) 16 Quantum theory (81-XX) 15 Difference and functional equations (39-XX) 15 Global analysis, analysis on manifolds (58-XX) 15 Mechanics of deformable solids (74-XX) 14 Relativity and gravitational theory (83-XX) 14 Astronomy and astrophysics (85-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Systems theory; control (93-XX) 12 Field theory and polynomials (12-XX) 12 Geophysics (86-XX) 10 Operator theory (47-XX) 10 Optics, electromagnetic theory (78-XX) 9 Several complex variables and analytic spaces (32-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Information and communication theory, circuits (94-XX) 5 Group theory and generalizations (20-XX) 5 General topology (54-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-XX) 4 Special functions (33-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Real functions (26-XX) 3 Measure and integration (28-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Convex and discrete geometry (52-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 General and overarching topics; collections (00-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 Probability theory and stochastic processes (60-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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