Edit Profile (opens in new tab) Chenciner, Alain Compute Distance To: Compute Author ID: chenciner.alain Published as: Chenciner, Alain; Chenciner, A. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 73 Publications since 1970, including 5 Books 2 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 26 Co-Authors with 30 Joint Publications 802 Co-Co-Authors all top 5 Co-Authors 46 single-authored 5 Laudenbach, François 4 Féjoz, Jacques 3 Iooss, Gérard 3 Montgomery, Richard 2 Chaperon, Marc 2 Desolneux, Nicole 2 Gambaudo, Jean-Marc 2 Llibre, Jaume 2 Simó, Carles 2 Tresser, Charles 1 Albouy, Alain 1 Andreatta, Moreno 1 Anné, Colette 1 Coste, Jean 1 Coullet, Pierre H. 1 Cushman, Richard H. 1 Fukuda, Takuo 1 Gasull, Armengol 1 Gerver, Joseph L. 1 Jedrzejewski, Franck 1 Jiménez-Pérez, Hugo 1 Leclerc, Bernard 1 Ohshika, Ken’ichi 1 Papadopoulos, Athanase 1 Petitot, Jean 1 Peyraud, Jean 1 Poénaru, Valentin 1 Robinson, Clark 1 Sauzin, David 1 Sun, Shanzhong 1 Thom, Françoise 1 Trotman, David John Angelo 1 Venturelli, Andrea 1 Wei, Qiaoling 1 Xia, Zhihong Jeff all top 5 Serials 8 Comptes Rendus de l’Académie des Sciences. Série I 8 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 6 Regular and Chaotic Dynamics 5 Gazette des Mathématiciens 2 Archive for Rational Mechanics and Analysis 2 Acta Mathematica Vietnamica 2 Publications Mathématiques 2 Inventiones Mathematicae 2 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Nonlinearity 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Theoretical Population Biology 1 Ergodic Theory and Dynamical Systems 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Celestial Mechanics and Dynamical Astronomy 1 Discrete and Continuous Dynamical Systems 1 Annals of Mathematics. Second Series 1 Discrete and Continuous Dynamical Systems. Series B 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Contemporary Mathematics 1 SMF Journée Annuelle 1 Arnold Mathematical Journal 1 CNRS Alpha all top 5 Fields 34 Mechanics of particles and systems (70-XX) 28 Dynamical systems and ergodic theory (37-XX) 9 Ordinary differential equations (34-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 History and biography (01-XX) 7 Manifolds and cell complexes (57-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Algebraic topology (55-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 58 Publications have been cited 730 times in 426 Documents Cited by ▼ Year ▼ A remarkable periodic solution of the three-body problem in the case of equal masses. Zbl 0987.70009Chenciner, Alain; Montgomery, Richard 168 2000 The \(n\)-body problem and mutual distances. (Le problème des \(n\) corps et les distances mutuelles.) Zbl 0919.70005Albouy, Alain; Chenciner, Alain 71 1998 Action minimizing solutions of the Newtonian \(n\)-body problem: From homology to symmetry. Zbl 1136.70310Chenciner, A. 65 2002 Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: ‘Hip-hop’ orbits. (Minima de l’intégrale d’action du problème newtonien de 4 corps de masses égales dans \(R^3\): Orbites ‘hip-hop’.) Zbl 0984.70009Chenciner, Alain; Venturelli, Andrea 42 2000 Bifurcations de tores invariants. Zbl 0405.58033Chenciner, A.; Iooss, G. 30 1979 Simple choreographic motions of \(N\) bodies: a preliminary study. Zbl 1146.70333Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles 29 2002 Bifurcations de points fixes elliptiques. I: Courbes invariantes. Zbl 0566.58025Chenciner, Alain 28 1985 Bifurcations de points fixes elliptiques. II: Orbites periodiques et ensembles de Cantor invariants. (Bifurcations of elliptic fixed points. II: Periodic orbits and invariant Cantor sets). Zbl 0578.58031Chenciner, A. 27 1985 Action minimizing periodic orbits in the Newtonian \(n\)-body problem. Zbl 1026.70017Chenciner, Alain 20 2002 Total collison, completely parabolic motions and homothety reduction in the \(n\)-body problem. (Collisions totales, mouvements complètement paraboliques et réduction des homothéties dans le problème des \(n\) corps.) Zbl 0973.70011Chenciner, A. 19 1998 A note on the existence of invariant punctured tori in the planar circular restricted three-body problem. Zbl 0657.70016Chenciner, A.; Llibre, J. 19 1988 Rotating eights. I: The three \(\Gamma_i\) families. Zbl 1101.34025Chenciner, Alain; Féjoz, Jacques; Montgomery, Richard 17 2005 Minima of the action integral and relative equilibria of \(n\) bodies. (Minima de l’intégrale d’action et équilibres relatifs de \(n\) corps.) Zbl 0922.70009Chenciner, Alain; Desolneux, Nicole 17 1998 Bifurcations de points fixes elliptiques. III: Orbites périodiques de “petites” périodes et élimination résonnante des couples de courbes invariantes. (Bifurcations of elliptic fixed points. III: Periodic orbits with “small” periods and resonant elimination of pairs of invariant curves.). Zbl 0712.58044Chenciner, Alain 16 1988 Poincaré and the three-body problem. Zbl 1319.01013Chenciner, Alain 14 2015 Symmetries and “simple” solutions of the classical \(n\)-body problem. Zbl 1209.70011Chenciner, Alain 11 2005 Unchained polygons and the \(N\) -body problem. Zbl 1229.70035Chenciner, A.; Féjoz, J. 11 2009 Persistance et bifurcation de tores invariants. Zbl 0417.35013Chenciner, A.; Iooss, G. 9 1979 Une remarque sur la structure des endomorphismes de degré 1 du cercle. (A remark on degree one endomorphisms of the circle). Zbl 0584.58004Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles 8 1984 Comportement asymptotique de systèmes différentiels du type ’competition d’especes’. Zbl 0346.34017Chenciner, Alain 8 1977 The angular momentum of a relative equilibrium. Zbl 1263.70013Chenciner, Alain 7 2013 Some facts and more questions about the eight. Zbl 1205.37076Chenciner, Alain 7 2003 Bifurcations de difféomorphismes de \({\mathbb{R}}^ 2\) au voisinage d’un point fixe elliptique. Zbl 0582.58025Chenciner, A. 6 1983 Angular momentum and Horn’s problem. Zbl 1366.70015Chenciner, Alain; Jiménez-Pérez, Hugo 5 2013 Courbes algébriques planes. (Plane algebraic curves). Zbl 0557.14016Chenciner, Alain 5 1978 Perverse solutions of the planar \(n\)-body problem. Zbl 1200.70008Chenciner, Alain 5 2003 The flow of the equal-mass spatial 3-body problem in the neighborhood of the equilateral relative equilibrium. Zbl 1216.70006Chenciner, Alain; Féjoz, Jacques 4 2008 Morse 2-jet space and \(h\)-principle. Zbl 1189.58001Chenciner, Alain; Laudenbach, François 4 2009 Une description compléte du portrait de phase d’un modèle d’élimination résonante. (The phase portrait of a model of resonant elimination). Zbl 0647.34042Chenciner, Alain; Gasull, Armengol; Llibre, Jaume 4 1987 La dynamique au voisinage d’un point fixe elliptique conservatif: de Poincaré et Birkhoff à Aubry et Mather. Zbl 0582.58013Chenciner, Alain 4 1985 The Lagrange reduction of the \(n\)-body problem, a survey. Zbl 1391.70026Chenciner, Alain 4 2013 The equation for the vertical variations of a relative equilibrium as a source of new periodic solutions of the \(N\) body problem. (L’équation aux variations verticales d’un équilibre relatif comme source de nouvelles solutions périodiques du problème des \(N\) corps.) Zbl 1066.70008Chenciner, Alain; Féjoz, Jacques 3 2005 Sur la géométrie des strates de petites codimensions de l’espace des fonctions différentiables réelles sur une variété. (Geometry of strata of small codimension of the space of real differentiable functions on a manifold). Zbl 0228.58004Chenciner, A. 3 1971 Une remarque sur les familles d’endomorphismes de degré 1 du cercle. (A remark on one-parameter families of degree one endomorphisms of the circle). Zbl 0584.58003Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles 3 1984 About the theory of competing species. Zbl 0387.92011Coste, J.; Peyraud, J.; Coullet, P.; Chenciner, A. 3 1978 Contribution à une théorie de Smale à un paramètre dans le cas non simplement connexe. Zbl 0236.57015Chenciner, Alain; Laudenbach, François 3 1970 Four lectures on the \(N\)-body problem. Zbl 1163.70005Chenciner, Alain 3 2008 Are nonsymmetric balanced configurations of four equal masses virtual or real? Zbl 1387.70013Chenciner, Alain 2 2017 The “form” of a triangle. Zbl 1132.51007Chenciner, Alain 2 2007 A note by Poincaré. Zbl 1095.70003Chenciner, A. 2 2005 Hamiltonian-like phenomena in saddle-node bifurcations of invariant curves for plane diffeomorphisms. Zbl 0561.58036Chenciner, Alain 2 1985 Points homoclines au voisinage d’une bifurcation de Hopf dégénérée de difféomorphismes de \(R^ 2\). Zbl 0509.58014Chenciner, Alain 2 1982 Between two moments. Zbl 1306.05245Chenciner, Alain; Leclerc, Bernard 2 2014 Non-avoided crossings for \(n\)-body balanced configurations in \(\mathbb R^3\) near a central configuration. Zbl 1393.70027Chenciner, Alain 2 2016 The force of a simple idea. Homage to Claude Shannon on the one hundredth universary of his birth. (La force d’une idée simple. Hommage à Claude Shannon à l’occasion du centenaire de sa naissance.) Zbl 1396.94004Chenciner, A. 1 2017 Towards infinity in finite time. (À l’infini en temps fini.) Zbl 0930.70011Chenciner, Alain 1 1997 Théorie de Smale à un paramètre dans le cas non simplement connexe. I. Zbl 0185.27404Chenciner, A.; Laudenbach, F. 1 1970 Théorie de Smale à un paramètre dans le cas non simplement connexe. II. Zbl 0185.27405Chenciner, A.; Laudenbach, F. 1 1970 Pseudo-isotopies différentiables et pseudo-isotopies linéaires par morceaux. Zbl 0195.25301Chenciner, Alain 1 1970 Singularites de dodimension 1 et chemins élémentaires d’elimination. Zbl 0195.25302Chenciner, Alain; Laudenbach, Francois 1 1970 A walk through the new methods of celestial mechanics. (Une promenade dans les méthodes nouvelles de la mécanique céleste.) Zbl 1300.70007Chenciner, Alain 1 2013 Resonant elimination of a couple of invariant closed curves in the neighborhood of a degenerate Hopf bifurcation of diffeomorphisms of \({\mathbb{R}}^ 2\). Zbl 0653.58027Chenciner, A. 1 1987 Erratum to: Minima de l’intégrale d’action et équilibres relatifs de \(n\) corps. Zbl 0922.70010Chenciner, Alain; Desolneux, Nicole 1 1998 Bifurcation d’un tore Tsup(2) en un tore Tsup(3). Zbl 0355.34044Chenciner, Alain; Iooss, Gerard 1 1977 Sur un enonce dissipatif du théorème geométrique de Poincaré-Birkhoff. Zbl 0498.58019Chenciner, Alain 1 1982 Points périodiques de longues périodes au voisinage d’une bifurcation de Hopf dégénérée de difféomorphismes de \(R^ 2\). Zbl 0509.58013Chenciner, Alain 1 1982 Orbites périodiques et ensembles de Cantor invariants d’Aubry-Mather au voisinage d’une bifurcation de Hopf dégénérée de difféomorphismes de \({\mathbb{R}}^ 2\). Zbl 0533.58026Chenciner, Alain 1 1983 Perturbing a planar rotation: normal hyperbolicity and angular twist. Zbl 1454.37043Chenciner, Alain 1 2019 Perturbing a planar rotation: normal hyperbolicity and angular twist. Zbl 1454.37043Chenciner, Alain 1 2019 Are nonsymmetric balanced configurations of four equal masses virtual or real? Zbl 1387.70013Chenciner, Alain 2 2017 The force of a simple idea. Homage to Claude Shannon on the one hundredth universary of his birth. (La force d’une idée simple. Hommage à Claude Shannon à l’occasion du centenaire de sa naissance.) Zbl 1396.94004Chenciner, A. 1 2017 Non-avoided crossings for \(n\)-body balanced configurations in \(\mathbb R^3\) near a central configuration. Zbl 1393.70027Chenciner, Alain 2 2016 Poincaré and the three-body problem. Zbl 1319.01013Chenciner, Alain 14 2015 Between two moments. Zbl 1306.05245Chenciner, Alain; Leclerc, Bernard 2 2014 The angular momentum of a relative equilibrium. Zbl 1263.70013Chenciner, Alain 7 2013 Angular momentum and Horn’s problem. Zbl 1366.70015Chenciner, Alain; Jiménez-Pérez, Hugo 5 2013 The Lagrange reduction of the \(n\)-body problem, a survey. Zbl 1391.70026Chenciner, Alain 4 2013 A walk through the new methods of celestial mechanics. (Une promenade dans les méthodes nouvelles de la mécanique céleste.) Zbl 1300.70007Chenciner, Alain 1 2013 Unchained polygons and the \(N\) -body problem. Zbl 1229.70035Chenciner, A.; Féjoz, J. 11 2009 Morse 2-jet space and \(h\)-principle. Zbl 1189.58001Chenciner, Alain; Laudenbach, François 4 2009 The flow of the equal-mass spatial 3-body problem in the neighborhood of the equilateral relative equilibrium. Zbl 1216.70006Chenciner, Alain; Féjoz, Jacques 4 2008 Four lectures on the \(N\)-body problem. Zbl 1163.70005Chenciner, Alain 3 2008 The “form” of a triangle. Zbl 1132.51007Chenciner, Alain 2 2007 Rotating eights. I: The three \(\Gamma_i\) families. Zbl 1101.34025Chenciner, Alain; Féjoz, Jacques; Montgomery, Richard 17 2005 Symmetries and “simple” solutions of the classical \(n\)-body problem. Zbl 1209.70011Chenciner, Alain 11 2005 The equation for the vertical variations of a relative equilibrium as a source of new periodic solutions of the \(N\) body problem. (L’équation aux variations verticales d’un équilibre relatif comme source de nouvelles solutions périodiques du problème des \(N\) corps.) Zbl 1066.70008Chenciner, Alain; Féjoz, Jacques 3 2005 A note by Poincaré. Zbl 1095.70003Chenciner, A. 2 2005 Some facts and more questions about the eight. Zbl 1205.37076Chenciner, Alain 7 2003 Perverse solutions of the planar \(n\)-body problem. Zbl 1200.70008Chenciner, Alain 5 2003 Action minimizing solutions of the Newtonian \(n\)-body problem: From homology to symmetry. Zbl 1136.70310Chenciner, A. 65 2002 Simple choreographic motions of \(N\) bodies: a preliminary study. Zbl 1146.70333Chenciner, Alain; Gerver, Joseph; Montgomery, Richard; Simó, Carles 29 2002 Action minimizing periodic orbits in the Newtonian \(n\)-body problem. Zbl 1026.70017Chenciner, Alain 20 2002 A remarkable periodic solution of the three-body problem in the case of equal masses. Zbl 0987.70009Chenciner, Alain; Montgomery, Richard 168 2000 Minima of the action integral in the Newtonian problem of 4 bodies with equal masses: ‘Hip-hop’ orbits. (Minima de l’intégrale d’action du problème newtonien de 4 corps de masses égales dans \(R^3\): Orbites ‘hip-hop’.) Zbl 0984.70009Chenciner, Alain; Venturelli, Andrea 42 2000 The \(n\)-body problem and mutual distances. (Le problème des \(n\) corps et les distances mutuelles.) Zbl 0919.70005Albouy, Alain; Chenciner, Alain 71 1998 Total collison, completely parabolic motions and homothety reduction in the \(n\)-body problem. (Collisions totales, mouvements complètement paraboliques et réduction des homothéties dans le problème des \(n\) corps.) Zbl 0973.70011Chenciner, A. 19 1998 Minima of the action integral and relative equilibria of \(n\) bodies. (Minima de l’intégrale d’action et équilibres relatifs de \(n\) corps.) Zbl 0922.70009Chenciner, Alain; Desolneux, Nicole 17 1998 Erratum to: Minima de l’intégrale d’action et équilibres relatifs de \(n\) corps. Zbl 0922.70010Chenciner, Alain; Desolneux, Nicole 1 1998 Towards infinity in finite time. (À l’infini en temps fini.) Zbl 0930.70011Chenciner, Alain 1 1997 A note on the existence of invariant punctured tori in the planar circular restricted three-body problem. Zbl 0657.70016Chenciner, A.; Llibre, J. 19 1988 Bifurcations de points fixes elliptiques. III: Orbites périodiques de “petites” périodes et élimination résonnante des couples de courbes invariantes. (Bifurcations of elliptic fixed points. III: Periodic orbits with “small” periods and resonant elimination of pairs of invariant curves.). Zbl 0712.58044Chenciner, Alain 16 1988 Une description compléte du portrait de phase d’un modèle d’élimination résonante. (The phase portrait of a model of resonant elimination). Zbl 0647.34042Chenciner, Alain; Gasull, Armengol; Llibre, Jaume 4 1987 Resonant elimination of a couple of invariant closed curves in the neighborhood of a degenerate Hopf bifurcation of diffeomorphisms of \({\mathbb{R}}^ 2\). Zbl 0653.58027Chenciner, A. 1 1987 Bifurcations de points fixes elliptiques. I: Courbes invariantes. Zbl 0566.58025Chenciner, Alain 28 1985 Bifurcations de points fixes elliptiques. II: Orbites periodiques et ensembles de Cantor invariants. (Bifurcations of elliptic fixed points. II: Periodic orbits and invariant Cantor sets). Zbl 0578.58031Chenciner, A. 27 1985 La dynamique au voisinage d’un point fixe elliptique conservatif: de Poincaré et Birkhoff à Aubry et Mather. Zbl 0582.58013Chenciner, Alain 4 1985 Hamiltonian-like phenomena in saddle-node bifurcations of invariant curves for plane diffeomorphisms. Zbl 0561.58036Chenciner, Alain 2 1985 Une remarque sur la structure des endomorphismes de degré 1 du cercle. (A remark on degree one endomorphisms of the circle). Zbl 0584.58004Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles 8 1984 Une remarque sur les familles d’endomorphismes de degré 1 du cercle. (A remark on one-parameter families of degree one endomorphisms of the circle). Zbl 0584.58003Chenciner, Alain; Gambaudo, Jean-Marc; Tresser, Charles 3 1984 Bifurcations de difféomorphismes de \({\mathbb{R}}^ 2\) au voisinage d’un point fixe elliptique. Zbl 0582.58025Chenciner, A. 6 1983 Orbites périodiques et ensembles de Cantor invariants d’Aubry-Mather au voisinage d’une bifurcation de Hopf dégénérée de difféomorphismes de \({\mathbb{R}}^ 2\). Zbl 0533.58026Chenciner, Alain 1 1983 Points homoclines au voisinage d’une bifurcation de Hopf dégénérée de difféomorphismes de \(R^ 2\). Zbl 0509.58014Chenciner, Alain 2 1982 Sur un enonce dissipatif du théorème geométrique de Poincaré-Birkhoff. Zbl 0498.58019Chenciner, Alain 1 1982 Points périodiques de longues périodes au voisinage d’une bifurcation de Hopf dégénérée de difféomorphismes de \(R^ 2\). Zbl 0509.58013Chenciner, Alain 1 1982 Bifurcations de tores invariants. Zbl 0405.58033Chenciner, A.; Iooss, G. 30 1979 Persistance et bifurcation de tores invariants. Zbl 0417.35013Chenciner, A.; Iooss, G. 9 1979 Courbes algébriques planes. (Plane algebraic curves). Zbl 0557.14016Chenciner, Alain 5 1978 About the theory of competing species. Zbl 0387.92011Coste, J.; Peyraud, J.; Coullet, P.; Chenciner, A. 3 1978 Comportement asymptotique de systèmes différentiels du type ’competition d’especes’. Zbl 0346.34017Chenciner, Alain 8 1977 Bifurcation d’un tore Tsup(2) en un tore Tsup(3). Zbl 0355.34044Chenciner, Alain; Iooss, Gerard 1 1977 Sur la géométrie des strates de petites codimensions de l’espace des fonctions différentiables réelles sur une variété. (Geometry of strata of small codimension of the space of real differentiable functions on a manifold). Zbl 0228.58004Chenciner, A. 3 1971 Contribution à une théorie de Smale à un paramètre dans le cas non simplement connexe. Zbl 0236.57015Chenciner, Alain; Laudenbach, François 3 1970 Théorie de Smale à un paramètre dans le cas non simplement connexe. I. Zbl 0185.27404Chenciner, A.; Laudenbach, F. 1 1970 Théorie de Smale à un paramètre dans le cas non simplement connexe. II. Zbl 0185.27405Chenciner, A.; Laudenbach, F. 1 1970 Pseudo-isotopies différentiables et pseudo-isotopies linéaires par morceaux. Zbl 0195.25301Chenciner, Alain 1 1970 Singularites de dodimension 1 et chemins élémentaires d’elimination. Zbl 0195.25302Chenciner, Alain; Laudenbach, Francois 1 1970 all cited Publications top 5 cited Publications all top 5 Cited by 465 Authors 18 Yan, Duokui 16 Llibre, Jaume 14 Chenciner, Alain 14 Zhang, Shiqing 12 Ouyang, Tiancheng 10 Hu, Xijun 10 Terracini, Susanna 9 Barutello, Vivina L. 9 Hampton, Marshall 8 Broer, Henk W. 8 Corbera, Montserrat 8 Santoprete, Manuele 7 Borisov, Alekseĭ Vladimirovich 7 Maderna, Ezequiel 7 Mamaev, Ivan Sergeevich 7 Moeckel, Richard 7 Yu, Guowei 6 García-Azpeitia, Carlos 6 Montgomery, Richard 6 Pérez-Chavela, Ernesto 6 Roberts, Gareth E. 6 Soler, Jaume 5 Alvarez-Ramírez, Martha 5 Deng, Chunhua 5 Diacu, Florin Nicolae 5 Fenucci, Marco 5 Ferrario, Davide L. 5 Gronchi, Giovanni-Federico 5 Laudenbach, François 5 Mireles-James, Jason D. 5 Portaluri, Alessandro 5 Simmons, Skyler Clayson 5 Tresser, Charles 5 Venturelli, Andrea 4 Calleja, Renato C. 4 Celli, Martin 4 Cors, Josep Maria 4 de la Llave, Rafael 4 Doedel, Eusebius J. 4 Dullin, Holger R. 4 Féjoz, Jacques 4 Kilin, Aleksandr Aleksandrovich 4 Kuang, Wentian 4 Liu, Chungen 4 Liu, Rongchang 4 Miranda, Eva 4 Offin, Daniel C. 4 Ollé, Mercè 4 Ou, Yuwei 4 Rodríguez, Oscar Córdoba 4 Shibayama, Mitsuru 4 Stoica, Cristina 4 Vidal, Claudio 3 Alsedà, Lluís 3 Bakker, Lennard F. 3 Bengochea, Abimael 3 Boscaggin, Alberto 3 Chen, Kuo-Chang 3 Dambrosio, Walter 3 Franceschini, Valter 3 Fujiwara, Toshiaki 3 Haro, Àlex 3 Iooss, Gérard 3 Kevrekidis, Ioannis George 3 Kudryavtseva, Elena A. 3 Lessard, Jean-Philippe 3 MacKay, Robert Sinclair 3 Massetti, Jessica Elisa 3 Peckham, Bruce B. 3 Pinyol, Conxita 3 Santos, Alan Almeida 3 Simó, Carles 3 Sun, Shanzhong 3 Valls Anglés, Cláudia 3 Vanderbauwhede, Andre L. 3 Waalkens, Holger 3 Wagener, Florian 3 Xie, Zhifu 3 Yuan, Pengfei 3 Zhao, Lei 3 Zhou, Qing 2 Albouy, Alain 2 Arioli, Gianni 2 Asselle, Luca 2 Barrabés, Esther 2 Bizyaev, Ivan Alekseevich 2 Brucks, Karen M. 2 Burgos, Juan Manuel 2 Chaperon, Marc 2 Cheng, Xuhua 2 Chow, Shui-Nee 2 Deng, Yanxia 2 Dmitrašinović, V. 2 Elipe, Antonio 2 Falcó, Antonio 2 Fernandes, Antonio Carlos 2 Freire Macías, Emilio 2 Fukuda, Hiroshi 2 Fusco, Giorgio 2 Galán-Vioque, Jorge ...and 365 more Authors all top 5 Cited in 117 Serials 38 Celestial Mechanics and Dynamical Astronomy 27 Archive for Rational Mechanics and Analysis 27 Regular and Chaotic Dynamics 20 Journal of Differential Equations 20 Physica D 12 Communications in Mathematical Physics 12 Journal of Geometry and Physics 10 Transactions of the American Mathematical Society 9 Journal of Mathematical Analysis and Applications 9 Ergodic Theory and Dynamical Systems 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 8 Nonlinearity 8 Journal of Dynamics and Differential Equations 7 Chaos 7 Qualitative Theory of Dynamical Systems 6 Annales de l’Institut Fourier 6 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 6 Journal of Nonlinear Science 6 Journal of Fixed Point Theory and Applications 6 Journal of Geometric Mechanics 5 Inventiones Mathematicae 5 Proceedings of the American Mathematical Society 5 Discrete and Continuous Dynamical Systems 5 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Mathematical Physics 4 Publications Mathématiques 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Frontiers of Mathematics in China 3 Journal of Mathematical Biology 3 Physics Letters. A 3 Chaos, Solitons and Fractals 3 Advances in Mathematics 3 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 3 Calculus of Variations and Partial Differential Equations 3 Journal of Difference Equations and Applications 3 Advanced Nonlinear Studies 3 SIAM Journal on Applied Dynamical Systems 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Journal of Physics A: Mathematical and Theoretical 3 Nonlinear Analysis. Theory, Methods & Applications 3 Applied Mathematics and Nonlinear Sciences 2 Mathematical Biosciences 2 Physica A 2 Applied Mathematics and Computation 2 Bulletin de la Société Mathématique de France 2 Theoretical Population Biology 2 Transactions of the Moscow Mathematical Society 2 Acta Applicandae Mathematicae 2 Indagationes Mathematicae. New Series 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Experimental Mathematics 2 Journal of Mathematical Sciences (New York) 2 Doklady Mathematics 2 Abstract and Applied Analysis 2 Taiwanese Journal of Mathematics 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Dynamical Systems 1 American Mathematical Monthly 1 Archive for History of Exact Sciences 1 Computer Physics Communications 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Reports on Mathematical Physics 1 Rocky Mountain Journal of Mathematics 1 Theoretical and Mathematical Physics 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Hokkaido Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Results in Mathematics 1 Topology and its Applications 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 Journal of Symbolic Computation 1 Journal of Economic Dynamics & Control 1 Dynamics and Stability of Systems 1 Science in China. Series A 1 Geometric and Functional Analysis. GAFA 1 Celestial Mechanics 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Expositiones Mathematicae 1 Physics of Fluids 1 Advances in Computational Mathematics 1 Sbornik: Mathematics 1 Balkan Journal of Geometry and its Applications (BJGA) 1 Differential Equations and Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Geometry & Topology 1 Journal of Dynamical and Control Systems 1 Lobachevskii Journal of Mathematics 1 La Gaceta de la Real Sociedad Matemática Española ...and 17 more Serials all top 5 Cited in 43 Fields 283 Mechanics of particles and systems (70-XX) 208 Dynamical systems and ergodic theory (37-XX) 72 Ordinary differential equations (34-XX) 32 Differential geometry (53-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Fluid mechanics (76-XX) 15 Manifolds and cell complexes (57-XX) 13 Partial differential equations (35-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Numerical analysis (65-XX) 10 Biology and other natural sciences (92-XX) 9 General topology (54-XX) 7 Algebraic geometry (14-XX) 5 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 4 Convex and discrete geometry (52-XX) 4 Algebraic topology (55-XX) 3 Commutative algebra (13-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Astronomy and astrophysics (85-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Mechanics of deformable solids (74-XX) 2 Optics, electromagnetic theory (78-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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