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## Simó, Carles

Compute Distance To:
 Author ID: simo.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
 Documents Indexed: 176 Publications since 1973, including 9 Books
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#### Co-Authors

 30 single-authored 21 Broer, Henk W. 19 Martínez, Regina 12 Vieiro, Arturo 10 Vitolo, Renato 9 Llibre, Jaume 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 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 Lazutkin, Vladimir Fedorovich 3 Miguel, Narcís 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 Cincotta, Pablo M. 2 Dijkstra, Henk A. 2 Giorgilli, Antonio 2 Kapela, Tomasz 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 de la Llave, Rafael 1 Delshams, Amadeu 1 Diacu, Florin Nicolae 1 Díez, Carles 1 Dumortier, Freddy 1 Galgani, Luigi 1 Gelfreich, Vasily G. 1 Gelfreich, Vassili 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 Moeckel, Richard 1 Montgomery, Richard 1 Netzer, Norbert 1 Ovsyannikov, Ivan I. 1 Pérez-Chavela, Ernesto 1 Pérez, José-Philippe 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
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#### Serials

 16 Nonlinearity 14 Physica D 12 Journal of Differential Equations 8 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
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#### Fields

 122 Dynamical systems and ergodic theory (37-XX) 72 Mechanics of particles and systems (70-XX) 37 Ordinary differential equations (34-XX) 8 Fluid mechanics (76-XX) 7 Numerical analysis (65-XX) 5 General and overarching topics; collections (00-XX) 5 Partial differential equations (35-XX) 4 General topology (54-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Astronomy and astrophysics (85-XX) 2 Difference and functional equations (39-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) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

140 Publications have been cited 1,768 times in 1,106 Documents Cited by Year
On the reducibility of linear differential equations with quasiperiodic coefficients. Zbl 0761.34026
Jorba, Àngel; Simó, Carles
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
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
1989
Relative equilibrium solutions in the four body problem. Zbl 0394.70009
Simo, Carles
1978
On quasi-periodic perturbations of elliptic equilibrium points. Zbl 0863.34043
Jorba, Àngel; Simó, Carles
1996
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
2005
Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013
Broer, Henk; Simó, Carles; Tatjer, Joan Carles
1998
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
1998
Bifurcation of spatial central configurations from planar ones. Zbl 0830.34032
Moeckel, Richard; Simó, Carles
1995
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
1985
Oscillatory solutions in the planar restricted three-body problem. Zbl 0505.70010
Llibre, Jaume; Simó, Carles
1980
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.
2003
Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019
Broer, Henk; Simó, Carles
1998
The splitting of separatrices for analytic diffeomorphisms. Zbl 0706.58061
Fontich, E.; Simó, C.
1990
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032
Broer, Henk; Roussarrie, Robert; Simó, Carles
1996
New families of solutions in $$N$$-body problems. Zbl 1101.70009
Simó, Carles
2001
Simple choreographic motions of $$N$$ bodies: a preliminary study. Zbl 1146.70333
Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles
2002
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.
2001
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307
Broer, Henk; Simó, Carles; Vitolo, Renato
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.
2001
Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem. Zbl 0963.37052
Simó, C.; Stuchi, T. J.
2000
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.
1993
Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight. Zbl 1115.70008
Kapela, Tomasz; Simó, Carles
2007
Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072
Broer, Henk; Simó, Carles
2000
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
2011
Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014
Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi
2005
An obstruction method for the destruction of invariant curves. Zbl 0612.58039
Olvera, Arturo; Simó, Carles
1987
Picard-Vessiot theory and Ziglin’s theorem. Zbl 0799.58035
Morales, J. J.; Simó, C.
1994
Hopf saddle-node bifurcation for fixed points of 3D-diffeomorphisms: Analysis of a resonance ‘bubble’. Zbl 1165.37017
Broer, Henk; Simó, Carles; Vitolo, Renato
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
2008
The bicircular model near the triangular libration points of the RTBP. Zbl 0883.70008
Simó, Carles; Gómez, Gerard; Jorba, Àngel; Masdemont, Josep
1995
Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. Zbl 1153.76345
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C.
2004
Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. Zbl 1181.37077
Simó, C.; Vieiro, A.
2009
About the unfolding of a Hopf-zero singularity. Zbl 1283.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles
2013
Some homoclinic phenomena in the three-body problem. Zbl 0445.70005
Llibre, Jaume; Simó, Carles
1980
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
2001
Dynamical properties of the figure eight solution of the three-body problem. Zbl 1151.70316
Simó, Carles
2002
Non-integrability criteria for Hamiltonians in the case of Lamé normal variational equations. Zbl 0866.58034
Morales-Ruiz, Juan J.; Simó, Carles
1996
Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014
Broer, Henk; Puig, Joaquim; Simó, Carles
2003
“Crossroad area – spring area” transition. I: Parameter plane representation. Zbl 0758.58025
Carcasses, J. P.; Mira, C.; Bosch, M.; Simó, C.; Tatjer, J. C.
1991
Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. Zbl 1183.37137
Sánchez, J.; Net, M.; Simó, C.
2010
Stability diagram for 4D linear periodic systems with applications to homographic solutions. Zbl 1108.34032
Martínez, Regina; Samà, Anna; Simó, Carles
2006
High-precision computations of divergent asymptotic series and homoclinic phenomena. Zbl 1169.37013
Gelfreich, Vassili; Simó, Carles
2008
Effective computations in celestial mechanics and astrodynamics. Zbl 0920.70003
Simó, C.
1998
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
2013
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
2001
Stability analysis of the flow in a cubical cavity heated from below. Zbl 1187.76432
Puigjaner, D.; Herrero, J.; Giralt, Francesc; Simó, C.
2004
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
2006
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
2013
Dynamics of 4D symplectic maps near a double resonance. Zbl 1353.37113
Gelfreich, V.; Simó, C.; Vieiro, A.
2013
Qualitative study of the planar isosceles three-body problem. Zbl 0657.70015
Simó, Carles; Martínez, Regina
1987
Computer assisted proof for normally hyperbolic invariant manifolds. Zbl 1256.37020
Capiński, Maciej J.; Simó, Carles
2012
Invariant manifolds for near identity differentiable maps and splitting of separatrices. Zbl 0706.58060
Fontich, E.; Simó, C.
1990
Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Zbl 1286.37023
Gonchenko, S. V.; Simó, C.; Vieiro, A.
2013
Attractors in a Šil’nikov-Hopf scenario and a related one-dimensional map. Zbl 0783.58043
Bosch, Miquel; Simó, Carles
1993
Non integrability of the $$J_ 2$$ problem. Zbl 0767.70015
Irigoyen, Maylis; Simó, Carles
1993
Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1204.37050
Vitolo, Renato; Broer, Henk; Simó, Carles
2010
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems. Zbl 1412.70024
Kapela, Tomasz; Simó, Carles
2017
Global dynamics and fast indicators. Zbl 1198.37115
Simó, Carles
2001
Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034
Broer, Henk W.; Simó, Carles; Vitolo, Renato
2010
Effect of islands in diffusive properties of the standard map for large parameter values. Zbl 1376.37017
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
2015
“Crossroad area – spring area” transition. II: Foliated parametric representation. Zbl 0876.58035
Mira, C.; Carcassès, J. P.; Bosch, M.; Simó, C.; Tatjer, J. C.
1991
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
2011
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.
2010
Masses for which triple collision is regularizable. Zbl 0422.70015
Simo, Carles
1980
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
2003
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
2008
The degree of differentiability of the regularization of simultaneous binary collisions in some $$N$$-body problems. Zbl 0983.70011
Martínez, Regina; Simó, Carles
2000
Regularization of simultaneous binary collisions in the $$n$$-body problem. Zbl 0764.70011
Simó, Carles; Lacomba, Ernesto A.
1992
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
1985
Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. Zbl 1229.37058
Martínez, R.; Simó, C.
2009
Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion. Zbl 1342.37033
Martínez, Regina; Simó, Carles
2014
Consecutive quasi-collisions in the planar circular RTBP. Zbl 1035.70005
Font, Joaquim; Nunes, Ana; Simó, Carles
2002
On stability loss delay for a periodic trajectory. Zbl 0844.34045
Neishtadt, A. I.; Simó, C.; Treschev, D. V.
1996
From the Hénon conservative map to the Chirikov standard map for large parameter values. Zbl 1417.37191
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
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.
2013
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
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
2008
On the Bogdanov-Takens bifurcation for planar diffeomorphisms. Zbl 0938.37512
Broer, H. W.; Roussarie, R.; Simó, C.
1993
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.
2011
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
2010
Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024
Martínez, Regina; Simó, Carles
2017
Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones. Zbl 1217.37051
Simó, C.; Vieiro, A.
2011
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
2003
Analytic families of reducible linear quasi-periodic differential equations. Zbl 1105.34021
Puig, Joaquim; Simó, Carles
2006
Thomson’s heptagon: A case of bifurcation at infinity. Zbl 1143.76404
Boatto, Stefanella; Simó, Carles
2008
Simultaneous binary collisions in the planar four-body problem. Zbl 0951.70009
Martínez, Regina; Simó, Carles
1999
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.
2010
Boundary manifolds for energy surfaces in celestial mechanics. Zbl 0504.70010
Lacomba, Ernesto A.; Simo, Carles
1982
Analysis of some degenerate quadruple collisions. Zbl 0536.70013
Simó, Carles; Lacomba, Ernesto
1982
Effective computations in Hamiltonian dynamics. Zbl 0965.70007
Simó, Carles
1996
Stability of homographic solutions of the planar three-body problem with homogeneous potentials. Zbl 1326.70014
Martínez, Regina; Samà, Anna; Simó, Carles
2005
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.
2000
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
2010
Non-integrability of the degenerate cases of the swinging Atwood’s machine using higher order variational equations. Zbl 1211.37069
Martínez, Regina; Simó, Carles
2011
Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Zbl 1409.37060
Meiss, James D.; Miguel, Narcís; Simó, Carles; Vieiro, Arturo
2018
A dynamical equivalent to the equilateral libration points of the Earth- Moon system. Zbl 0724.70007
Díez, Carles; Jorba, Àngel; Simó, Carles
1991
Characterization of transversal homothetic solutions in the n-body problem. Zbl 0473.70009
Simo, Carles; Llibre, Jaume
1981
Some ideas about strange attractors. Zbl 0517.58026
Garrido, L.; Simo, C.
1983
Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. Zbl 1232.37012
Puig, Joaquim; Simó, Carles
2011
Splitting of the separatrices after a Hamiltonian-Hopf bifurcation under periodic forcing. Zbl 1409.37059
Fontich, E.; Simó, C.; Vieiro, A.
2019
A vortex ring on a sphere: the case of total vorticity equal to zero. Zbl 1462.76032
Boatto, Stefanella; Simó, Carles
2019
Accelerator modes and anomalous diffusion in 3D volume-preserving maps. Zbl 1409.37060
Meiss, James D.; Miguel, Narcís; Simó, Carles; Vieiro, Arturo
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
2018
Rigorous KAM results around arbitrary periodic orbits for Hamiltonian systems. Zbl 1412.70024
Kapela, Tomasz; Simó, Carles
2017
Relative equilibria of the restricted three-body problem in curved spaces. Zbl 1367.70024
Martínez, Regina; Simó, Carles
2017
Abrupt transitions to tumor extinction: a phenotypic quasispecies model. Zbl 1382.37102
Sardanyés, Josep; Martínez, Regina; Simó, Carles; Solé, Ricard
2017
Experiments looking for theoretical predictions. Zbl 1369.37081
Simó, Carles
2016
Effect of islands in diffusive properties of the standard map for large parameter values. Zbl 1376.37017
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
2015
Return maps, dynamical consequences and applications. Zbl 1350.37068
Martínez, Regina; Simó, Carles
2015
Invariant manifolds at infinity of the RTBP and the boundaries of bounded motion. Zbl 1342.37033
Martínez, Regina; Simó, Carles
2014
Measuring the total amount of chaos in some Hamiltonian systems. Zbl 1299.70032
Simó, Carles
2014
About the unfolding of a Hopf-zero singularity. Zbl 1283.34039
Dumortier, Freddy; Ibáñez, Santiago; Kokubu, Hiroshi; Simó, Carles
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
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
2013
Dynamics of 4D symplectic maps near a double resonance. Zbl 1353.37113
Gelfreich, V.; Simó, C.; Vieiro, A.
2013
Richness of dynamics and global bifurcations in systems with a homoclinic figure-eight. Zbl 1286.37023
Gonchenko, S. V.; Simó, C.; Vieiro, A.
2013
From the Hénon conservative map to the Chirikov standard map for large parameter values. Zbl 1417.37191
Miguel, Narcís; Simó, Carles; Vieiro, Arturo
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.
2013
Large scale radial stability density of Hill’s equation. Zbl 1275.34077
Broer, Henk; Levi, Mark; Simo, Carles
2013
Computer assisted proof for normally hyperbolic invariant manifolds. Zbl 1256.37020
Capiński, Maciej J.; Simó, Carles
2012
Dynamical stability of quasi-periodic response solutions in planar conservative systems. Zbl 1287.37035
Hanßmann, Heinz; Simó, Carles
2012
Quasi-periodic bifurcations of invariant circles in low-dimensional dissipative dynamical systems. Zbl 1225.37087
Vitolo, Renato; Broer, Henk; Simó, Carles
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
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.
2011
Dynamics in chaotic zones of area preserving maps: close to separatrix and global instability zones. Zbl 1217.37051
Simó, C.; Vieiro, A.
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
2011
Resonance tongues in the quasi-periodic Hill-Schrödinger equation with three frequencies. Zbl 1232.37012
Puig, Joaquim; Simó, Carles
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
2011
Some remarks on the abundance of stable periodic orbits inside homoclinic lobes. Zbl 1244.37039
Simó, C.; Vieiro, A.
2011
Computation of invariant tori by Newton-Krylov methods in large-scale dissipative systems. Zbl 1183.37137
Sánchez, J.; Net, M.; Simó, C.
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
2010
Chaos and quasi-periodicity in diffeomorphisms of the solid torus. Zbl 1202.37034
Broer, Henk W.; Simó, Carles; Vitolo, Renato
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.
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
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.
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
2010
Dynamics of particle trajectories in a Rayleigh-Bénard problem. Zbl 1221.37174
Simó, C.; Puigjaner, D.; Herrero, J.; Giralt, F.
2010
Planar radial weakly dissipative diffeomorphisms. Zbl 1311.37059
Simó, C.; Vieiro, A.
2010
Resonant zones, inner and outer splittings in generic and low order resonances of area preserving maps. Zbl 1181.37077
Simó, C.; Vieiro, A.
2009
Non-integrability of Hamiltonian systems through high order variational equations: summary of results and examples. Zbl 1229.37058
Martínez, R.; Simó, C.
2009
A numerical study of the orbits of second species of the planar circular RTBP. Zbl 1223.70022
Font, Joaquim; Nunes, Ana; Simó, Carles
2009
Some properties of the global behaviour of conservative low-dimensional systems. Zbl 1188.37019
Simó, Carles
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
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
2008
High-precision computations of divergent asymptotic series and homoclinic phenomena. Zbl 1169.37013
Gelfreich, Vassili; Simó, Carles
2008
Stability islands in the vicinity of separatrices of near-integrable symplectic maps. Zbl 1153.37406
Simó, Carles; Treschev, Dmitri
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
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
2008
Thomson’s heptagon: A case of bifurcation at infinity. Zbl 1143.76404
Boatto, Stefanella; Simó, Carles
2008
The Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Zbl 1148.37309
Vitolo, R.; Broer, H. W.; Simó, C.
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
2007
Computer assisted proofs for nonsymmetric planar choreographies and for stability of the Eight. Zbl 1115.70008
Kapela, Tomasz; Simó, Carles
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.
2007
Stability diagram for 4D linear periodic systems with applications to homographic solutions. Zbl 1108.34032
Martínez, Regina; Samà, Anna; Simó, Carles
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
2006
Analytic families of reducible linear quasi-periodic differential equations. Zbl 1105.34021
Puig, Joaquim; Simó, Carles
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
2006
Three-dimensional Hénon-like maps and wild Lorenz-like attractors. Zbl 1097.37023
Gonchenko, S. V.; Ovsyannikov, I. I.; Simó, C.; Turaev, D.
2005
Algebraic proof of the non-integrability of Hill’s problem. Zbl 1078.70014
Morales-Ruiz, Juan J.; Simó, Carles; Simon, Sergi
2005
Stability of homographic solutions of the planar three-body problem with homogeneous potentials. Zbl 1326.70014
Martínez, Regina; Samà, Anna; Simó, Carles
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.
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.
2005
Continuation of periodic orbits in large-scale dissipative systems. Zbl 1102.65131
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C.
2005
Newton-Krylov continuation of periodic orbits for Navier-Stokes flows. Zbl 1153.76345
Sánchez, J.; Net, M.; García-Archilla, B.; Simó, C.
2004
Stability analysis of the flow in a cubical cavity heated from below. Zbl 1187.76432
Puigjaner, D.; Herrero, J.; Giralt, Francesc; Simó, C.
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.
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.
2003
Resonance tongues and instability pockets in the quasi-periodic Hill-Schrödinger equation. Zbl 1098.37014
Broer, Henk; Puig, Joaquim; Simó, Carles
2003
Random versus deterministic exponents in a rich family of diffeomorphisms. Zbl 1031.37028
Ledrappier, François; Shub, Michael; Simó, Carles; Wilkinson, Amie
2003
Geometric and statistical properties induced by separatrix crossings in volume-preserving systems. Zbl 1038.37017
Neishtadt, Anatoly; Simó, Carles; Vasiliev, Alexej
2003
Simple choreographic motions of $$N$$ bodies: a preliminary study. Zbl 1146.70333
Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles
2002
Bifurcations and strange attractors in the Lorenz-84 climate model with seasonal forcing. Zbl 1148.37307
Broer, Henk; Simó, Carles; Vitolo, Renato
2002
Dynamical properties of the figure eight solution of the three-body problem. Zbl 1151.70316
Simó, Carles
2002
Consecutive quasi-collisions in the planar circular RTBP. Zbl 1035.70005
Font, Joaquim; Nunes, Ana; Simó, Carles
2002
New families of solutions in $$N$$-body problems. Zbl 1101.70009
Simó, Carles
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.
2001
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.
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
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
2001
Global dynamics and fast indicators. Zbl 1198.37115
Simó, Carles
2001
Central stable/unstable manifolds and the destruction of KAM tori in the planar Hill problem. Zbl 0963.37052
Simó, C.; Stuchi, T. J.
2000
Resonance tongues in Hill’s equations: A geometric approach. Zbl 1046.34072
Broer, Henk; Simó, Carles
2000
The degree of differentiability of the regularization of simultaneous binary collisions in some $$N$$-body problems. Zbl 0983.70011
Martínez, Regina; Simó, Carles
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.
2000
Analytical and numerical detection of exponentially small phenomena. Zbl 0963.65136
Simó, Carles
2000
Simultaneous binary collisions in the planar four-body problem. Zbl 0951.70009
Martínez, Regina; Simó, Carles
1999
Conditional entropy. A tool to explore the phase space. Zbl 0968.70013
Cincotta, P.; Simó, C.
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
Simó, Carles
1999
Dynamical systems methods for space missions in a vicinity of collinear libration points. Zbl 0966.70018
Simó, Carles
1999
Towards global models near homoclinic tangencies of dissipative diffeomorphisms. Zbl 0937.37013
Broer, Henk; Simó, Carles; Tatjer, Joan Carles
1998
Invariant curves of analytic perturbed nontwist area preserving maps. Zbl 0932.37048
Simó, C.
1998
Hill’s equation with quasi-periodic forcing: resonance tongues, instability pockets and global phenomena. Zbl 0917.34019
Broer, Henk; Simó, Carles
1998
Effective computations in celestial mechanics and astrodynamics. Zbl 0920.70003
Simó, C.
1998
Reduction to the central variety around a collinear equilibrium point in the restricted three-body problem. Zbl 0960.70505
Cobos, Jordi; Simó, Carles
1998
Monte Carlo methods and equirepartition for the numerical approximation of partial differential equations. Zbl 0960.65536
Garcia, N.; Simó, C.
1998
Visualization of a hyperbolic structure in area preserving maps. Zbl 0922.58059
Giorgilli, A.; Lazutkin, V. F.; Simó, C.
1997
Homoclinic orbits in the complex domain. Zbl 0886.58047
Lazutkin, V. F.; Simó, C.
1997
On quasi-periodic perturbations of elliptic equilibrium points. Zbl 0863.34043
Jorba, Àngel; Simó, Carles
1996
Invariant circles in the Bogdanov-Takens bifurcation for diffeomorphisms. Zbl 0876.58032
Broer, Henk; Roussarrie, Robert; Simó, Carles
1996
...and 40 more Documents
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#### Cited by 1,223 Authors

 51 Simó, Carles 31 Llibre, Jaume 19 Xu, Junxiang 16 M-Seara, Tere 15 Broer, Henk W. 15 Diacu, Florin Nicolae 15 Jorba, Àngel 14 Borisov, Alekseĭ Vladimirovich 14 Celletti, Alessandra 14 de la Llave, Rafael 14 Gonchenko, Sergey V. 14 Mireles-James, Jason D. 13 Vidal, Claudio 13 Zhang, Shiqing 12 Alvarez-Ramírez, Martha 12 Barrio, Roberto 12 Delshams, Amadeu 12 Mamaev, Ivan Sergeevich 12 Martínez, Regina 11 Fontich, Ernest 11 Guzzo, Massimiliano 11 Turaev, Dmitry V. 10 Cincotta, Pablo M. 10 Dullin, Holger R. 10 Haro, Àlex 10 Kazakov, Alexey O. 10 Kuznetsov, Aleksandr Petrovich 10 Lega, Elena 10 Masdemont, Josep J. 10 Pérez-Chavela, Ernesto 10 Vieiro, Arturo 9 Giorgilli, Antonio 9 Gonchenko, Marina S. 9 Lacomba, Ernesto A. 9 Przybylska, Maria 9 Yan, Duokui 8 Corbera, Montserrat 8 Froeschlé, Claude 8 Giordano, Claudia M. 8 Gómez, Gerard 8 Hu, Xijun 8 Maciejewski, Andrzej J. 8 Meiss, James D. 8 Net, Marta 8 Ouyang, Tiancheng 8 Papadakis, K. E. 8 Shi, Shaoyun 7 Cors, Josep Maria 7 Gidea, Marian 7 Guardia, Marcel 7 Lessard, Jean-Philippe 7 Li, Wenlei 7 Luque, Alejandro 7 Rodríguez-Luis, Alejandro J. 7 Sterk, Alef E. 7 Topputo, Francesco 7 Villanueva, Jordi 7 Zhang, Dongfeng 7 Zhu, Shuqiang 6 Andrade, Jaime 6 Calleja, Renato C. 6 Combot, Thierry 6 García-Azpeitia, Carlos 6 Gonchenko, Alexander S. 6 Martín, Pau 6 Moeckel, Richard 6 Morales-Ruiz, Juan José 6 Morozov, Al’bert Dmitrievich 6 Ou, Yuwei 6 Ovsyannikov, Ivan I. 6 Sataev, Igor’ Rustamovich 6 Si, Jianguo 6 Stankevich, Nataliya Vladimirovna 6 Treshchev, Dmitriĭ Valer’evich 6 van Veen, Lennaert 6 Xie, Zhifu 6 Xu, Ming 6 You, Jiangong 6 Zgliczyński, Piotr 5 Algaba, Antonio 5 Baldomá, Inmaculada 5 Barrabés, Esther 5 Blesa, Fernando 5 Capinski, Maciej J. 5 Delgado, Joaquín F. 5 Doedel, Eusebius J. 5 Féjoz, Jacques 5 Figueras, Jordi-Lluís 5 Gelfreich, Vassili 5 Gutiérrez, Pere 5 Inaba, Naohiko 5 Kaloshin, Vadim Yu. 5 Kamiyama, Kyohei 5 Kuznetsov, Yuri Alexandrovich 5 Lipnitskii, A. V. 5 Long, Yiming 5 Mondelo, Josep-Maria 5 Neĭshtadt, Anatoliĭ Iserovich 5 Prokopenya, Alexander N. 5 Rom-Kedar, Vered ...and 1,123 more Authors
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#### Cited in 174 Serials

 136 Celestial Mechanics and Dynamical Astronomy 92 Physica D 68 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 66 Journal of Differential Equations 59 Regular and Chaotic Dynamics 38 Chaos 34 Communications in Nonlinear Science and Numerical Simulation 28 Nonlinearity 26 Qualitative Theory of Dynamical Systems 24 Journal of Dynamics and Differential Equations 20 Journal of Nonlinear Science 19 Journal of Mathematical Physics 18 Communications in Mathematical Physics 18 Discrete and Continuous Dynamical Systems 17 SIAM Journal on Applied Dynamical Systems 16 Chaos, Solitons and Fractals 13 Archive for Rational Mechanics and Analysis 12 Journal of Fluid Mechanics 12 Journal of Geometry and Physics 12 Discrete and Continuous Dynamical Systems. Series B 11 Journal of Mathematical Analysis and Applications 10 Celestial Mechanics 10 Indagationes Mathematicae. New Series 10 Dynamical Systems 9 Applied Mathematics and Computation 9 Proceedings of the American Mathematical Society 9 Ergodic Theory and Dynamical Systems 9 Nonlinear Dynamics 8 Acta Applicandae Mathematicae 8 Abstract and Applied Analysis 7 Journal of Computational Physics 7 Journal of Statistical Physics 7 Transactions of the American Mathematical Society 6 Annales de l’Institut Fourier 6 Journal of Difference Equations and Applications 6 Nonlinear Analysis. Real World Applications 5 Astrophysics and Space Science 5 Physics Letters. A 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Inventiones Mathematicae 4 Journal of Computational and Applied Mathematics 4 Journal of Mathematical Sciences (New York) 4 Journal of Nonlinear Mathematical Physics 4 Differential Equations 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Applied Mathematics and Mechanics 3 Advances in Mathematics 3 Programming and Computer Software 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 Foundations of Computational Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 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 Discrete and Continuous Dynamical Systems. Series S 3 Advances in Mathematical Physics 3 Science China. Mathematics 3 Journal of Computational Dynamics 3 Journal of Function Spaces 2 Acta Mechanica 2 Computers & Mathematics with Applications 2 Fluid Dynamics 2 Israel Journal of Mathematics 2 Mathematical Notes 2 Physica A 2 Reports on Mathematical Physics 2 Russian Mathematical Surveys 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Japan Journal of Applied Mathematics 2 Applied Mathematics Letters 2 Science in China. Series A 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 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Russian Physics Journal 2 Journal of Dynamical and Control Systems 2 Journal of High Energy Physics 2 Communications on Pure and Applied Analysis 2 Advances in Difference Equations 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Mathematical Modelling of Natural Phenomena 2 Science China. Technological Sciences 2 Applied Mathematics and Nonlinear Sciences 1 American Mathematical Monthly 1 Applicable Analysis 1 Classical and Quantum Gravity 1 Computers and Fluids 1 General Relativity and Gravitation ...and 74 more Serials
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#### Cited in 45 Fields

 646 Dynamical systems and ergodic theory (37-XX) 555 Mechanics of particles and systems (70-XX) 279 Ordinary differential equations (34-XX) 84 Numerical analysis (65-XX) 60 Fluid mechanics (76-XX) 45 Partial differential equations (35-XX) 17 Biology and other natural sciences (92-XX) 15 Differential geometry (53-XX) 15 Global analysis, analysis on manifolds (58-XX) 13 Mechanics of deformable solids (74-XX) 13 Classical thermodynamics, heat transfer (80-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Difference and functional equations (39-XX) 12 Computer science (68-XX) 12 Relativity and gravitational theory (83-XX) 11 Field theory and polynomials (12-XX) 11 Quantum theory (81-XX) 11 Astronomy and astrophysics (85-XX) 11 Geophysics (86-XX) 11 Systems theory; control (93-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 8 Optics, electromagnetic theory (78-XX) 7 Operator theory (47-XX) 5 Group theory and generalizations (20-XX) 5 Special functions (33-XX) 5 General topology (54-XX) 5 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 4 Algebraic geometry (14-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 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Commutative algebra (13-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)

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