Edit Profile (opens in new tab) Chierchia, Luigi Co-Author Distance Author ID: chierchia.luigi Published as: Chierchia, Luigi; Chierchia, L. External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 75 Publications since 1986, including 2 Books and 5 Additional arXiv Preprints Co-Authors: 24 Co-Authors with 63 Joint Publications 733 Co-Co-Authors all top 5 Co-Authors 12 single-authored 20 Biasco, Luca 15 Celletti, Alessandra 5 Falcolini, Corrado 5 Pinzari, Gabriella 5 Valdinoci, Enrico 3 Benettin, Giancarlo 3 Guzzo, Massimiliano 2 Berretti, Alberto 2 Koudjinan, Comlan E. 2 Perfetti, Paolo 1 Antognini, Francesco 1 Argentieri, Fernando 1 Bessi, Ugo 1 Ercolani, Nicholas M. 1 Faraggiana, M. A. 1 Fascitiello, Isabella 1 Fassò, Francesco 1 Gallavotti, Giovanni M. 1 McLaughlin, David W. 1 Pusateri, Fabio 1 Qian, Dingbian 1 Treshchev, Dmitriĭ Valer’evich 1 You, Jiangong 1 Zehnder, Eduard J. all top 5 Serials 6 Regular and Chaotic Dynamics 5 Communications in Mathematical Physics 5 Celestial Mechanics and Dynamical Astronomy 4 Journal of Differential Equations 4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Archive for Rational Mechanics and Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Discrete and Continuous Dynamical Systems 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Nonlinearity 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Nonlinear Science 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Meccanica 1 Memoirs of the American Mathematical Society 1 Ergodic Theory and Dynamical Systems 1 Forum Mathematicum 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Mathematical Analysis 1 Journal of Modern Dynamics 1 Discrete and Continuous Dynamical Systems. Series S all top 5 Fields 59 Dynamical systems and ergodic theory (37-XX) 50 Mechanics of particles and systems (70-XX) 18 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 3 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 1 History and biography (01-XX) 1 Operator theory (47-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 62 Publications have been cited 786 times in 503 Documents Cited by ▼ Year ▼ KAM tori for 1D nonlinear wave equations with periodic boundary conditions. Zbl 0956.37054 Chierchia, Luigi; You, Jiangong 113 2000 Drift and diffusion in phase space. Zbl 1010.37039 Chierchia, L.; Gallavotti, G. 78 1994 The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori. Zbl 1316.70010 Chierchia, Luigi; Pinzari, Gabriella 43 2011 Construction of analytic KAM-surfaces and effective stability bounds. Zbl 0657.58032 Celletti, Alessandra; Chierchia, Luigi 35 1988 KAM stability and celestial mechanics. Zbl 1129.70012 Celletti, Alessandra; Chierchia, Luigi 32 2007 Quasi-periodic attractors in celestial mechanics. Zbl 1161.70012 Celletti, Alessandra; Chierchia, Luigi 32 2009 Upper bounds on Arnold diffusion time via Mather theory. Zbl 0986.37052 Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico 24 2001 Moser’s theorem for lower dimensional tori. Zbl 1144.37444 Chierchia, Luigi; Qian, Dingbian 24 2004 \(N\)-dimensional elliptic invariant tori for the planar \((N+1)\)-body problem. Zbl 1096.70005 Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 24 2006 On the stability of realistic three-body problems. Zbl 0881.70010 Celletti, Alessandra; Chierchia, Luigi 24 1997 The steep Nekhoroshev’s theorem. Zbl 1337.37038 Guzzo, M.; Chierchia, L.; Benettin, G. 24 2016 A constructive theory of Lagrangian tori and computer-assisted applications. Zbl 0820.58051 Celletti, Alessandra; Chierchia, Luigi 19 1995 Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035 Celletti, Alessandra; Chierchia, Luigi 16 2008 Elliptic two-dimensional invariant tori for the planetary three-body problem. Zbl 1036.70006 Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 16 2003 On the complex analytic structure of the golden invariant curve for the standard map. Zbl 0732.58014 Berretti, Alberto; Chierchia, Luigi 16 1990 Rigorous estimates for a computer-assisted KAM theory. Zbl 0651.58011 Celletti, Alessandra; Chierchia, Luigi 15 1987 Properly-degenerate KAM theory (following V. I. Arnold). Zbl 1282.37033 Chierchia, Luigi; Pinzari, Gabriella 15 2010 On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom. Zbl 1032.37039 Biasco, Luca; Chierchia, Luigi 15 2003 Planetary Birkhoff normal forms. Zbl 1320.70009 Chierchia, Luigi; Pinzari, Gabriella 14 2011 Natural boundaries for area-preserving twist maps. Zbl 0892.58062 Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. 12 1992 KAM tori for \(n\)-body problems: a brief history. Zbl 1152.70008 Celletti, A.; Chierchia, L. 11 2006 Deprit’s reduction of the nodes revisited. Zbl 1270.70035 Chierchia, Luigi; Pinzari, Gabriella 11 2011 Explicit estimates on the measure of primary KAM tori. Zbl 1456.37063 Biasco, L.; Chierchia, L. 10 2018 A direct proof of a theorem by Kolmogorov in Hamiltonian systems. Zbl 0836.34040 Chierchia, L.; Falcolini, C. 10 1994 KAM stability for a three-body problem of the Solar system. Zbl 1085.70015 Celletti, Alessandra; Chierchia, Luigi 9 2006 Asymptotic expansions of quasiperiodic solutions. Zbl 0695.34040 Chierchia, L.; Zehnder, E. 9 1989 Analytic Lagrangian tori for the planetary many-body problem. Zbl 1173.37067 Chierchia, Luigi; Pusateri, Fabio 9 2009 On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems. Zbl 1361.37059 Biasco, Luca; Chierchia, Luigi 9 2015 Compensations in small divisor problems. Zbl 0847.58026 Chierchia, L.; Falcolini, C. 7 1996 Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027 Biasco, L.; Chierchia, L.; Treschev, D. 7 2006 A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics. Zbl 0820.70004 Celletti, Alessandra; Chierchia, Luigi 7 1991 Absolutely continuous spectra of quasiperiodic Schrödinger operators. Zbl 0642.34018 Chierchia, Luigi 6 1987 Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems. Zbl 1229.37077 Chierchia, L. 6 2008 The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040 Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo 6 2014 Second order Hamiltonian equations on \(\mathbb{T}^ \infty\) and almost- periodic solutions. Zbl 0821.34043 Chierchia, Luigi; Perfetti, Paolo 5 1995 Periodic solutions of the planetary \(N\)-body problem. Zbl 1302.70028 Chierchia, L. 5 2014 On the topology of nearly-integrable Hamiltonians at simple resonances. Zbl 1469.37047 Biasco, L.; Chierchia, L. 5 2020 Construction of stable periodic orbits for the spin-orbit problem of celestial mechanics. Zbl 0988.37098 Celletti, A.; Chierchia, L. 4 1998 Invariant curves for area-preserving twist maps far from integrable. Zbl 0943.37509 Celletti, Alessandra; Chierchia, Luigi 4 1991 KAM lectures. Zbl 1070.37044 Chierchia, Luigi 4 2003 Maximal almost-periodic solutions for Lagrangian equations on infinite dimensional tori. Zbl 0796.34028 Chierchia, Luigi; Perfetti, Paolo 4 1994 Metric stability of the planetary \(N\)-body problem. Zbl 1373.70009 Chierchia, Luigi; Pinzari, Gabriella 4 2014 Quasi-periodic Schrödinger operators in one dimension, absolutely continuous spectra, Bloch waves, and integrable Hamiltonian systems. Zbl 0632.35057 Chierchia, L. 3 1986 Arnold instability for nearly-integrable analytic Hamiltonian systems. Zbl 0951.37036 Chierchia, Luigi 3 1995 Low-order resonances in weakly dissipative spin-orbit models. Zbl 1178.34043 Biasco, Luca; Chierchia, Luigi 3 2009 Hamiltonian stability of spin-orbit resonances in celestial mechanics. Zbl 0999.70013 Celletti, Alessandra; Chierchia, Luigi 3 2000 Exponential stability for the resonant D’Alembert model of celestial mechanics. Zbl 1067.70011 Biasco, Luca; Chierchia, Luigi 3 2005 A direct method for constructing solutions of the Hamilton-Jacobi equation. Zbl 0726.70009 Chierchia, Luigi 3 1990 Effective Hamiltonian for the D’Alembert planetary model near a spin/orbit resonance. Zbl 1083.70014 Biasco, Luca; Chierchia, Luigi 3 2002 V. I. Arnold’s “Pointwise” KAM theorem. Zbl 1435.37085 Chierchia, L.; Koudjinan, C. E. 3 2019 Quasi-periodic motions in generic nearly-integrable mechanical systems. Zbl 1515.37059 Biasco, Luca; Chierchia, Luigi 3 2022 A note on the construction of Hamiltonian trajectories along heteroclinic chains. Zbl 0936.37037 Chierchia, Luigi; Valdinoci, Enrico 2 2000 A note on quasi-periodic solutions of some elliptic systems. Zbl 0860.35027 Chierchia, L.; Falcolini, C. 2 1996 Corrigendum to: “Elliptic two-dimensional invariant tori for the planetary three-body problem”. Zbl 1152.70304 Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 2 2006 On the stability problem for nearly-integrable Hamiltonian systems. Zbl 0789.58036 Chierchia, Luigi 2 1994 The spin-orbit resonances of the solar system: a mathematical treatment matching physical data. Zbl 1302.70034 Antognini, Francesco; Biasco, Luca; Chierchia, Luigi 2 2014 On the weak limit of rapidly oscillating waves. Zbl 0646.73016 Chierchia, L.; Ercolani, N.; McLaughlin, D. 1 1987 Birth and death of invariant tori for Hamiltonian systems. Zbl 0739.58017 Chierchia, Luigi 1 1991 Quasi-periodic attractors and spin-orbit resonances. Zbl 1144.70009 Celletti, A.; Chierchia, L. 1 2008 On steepness of 3-jet non-degenerate functions. Zbl 1432.34076 Chierchia, L.; Faraggiana, M. A.; Guzzo, M. 1 2019 On the measure of KAM tori in two degrees of freedom. Zbl 1456.37064 Biasco, Luca; Chierchia, Luigi 1 2020 Complex Arnol’d-Liouville maps. Zbl 1528.37051 Biasco, Luca; Chierchia, Luigi 1 2023 Complex Arnol’d-Liouville maps. Zbl 1528.37051 Biasco, Luca; Chierchia, Luigi 1 2023 Quasi-periodic motions in generic nearly-integrable mechanical systems. Zbl 1515.37059 Biasco, Luca; Chierchia, Luigi 3 2022 On the topology of nearly-integrable Hamiltonians at simple resonances. Zbl 1469.37047 Biasco, L.; Chierchia, L. 5 2020 On the measure of KAM tori in two degrees of freedom. Zbl 1456.37064 Biasco, Luca; Chierchia, Luigi 1 2020 V. I. Arnold’s “Pointwise” KAM theorem. Zbl 1435.37085 Chierchia, L.; Koudjinan, C. E. 3 2019 On steepness of 3-jet non-degenerate functions. Zbl 1432.34076 Chierchia, L.; Faraggiana, M. A.; Guzzo, M. 1 2019 Explicit estimates on the measure of primary KAM tori. Zbl 1456.37063 Biasco, L.; Chierchia, L. 10 2018 The steep Nekhoroshev’s theorem. Zbl 1337.37038 Guzzo, M.; Chierchia, L.; Benettin, G. 24 2016 On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems. Zbl 1361.37059 Biasco, Luca; Chierchia, Luigi 9 2015 The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040 Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo 6 2014 Periodic solutions of the planetary \(N\)-body problem. Zbl 1302.70028 Chierchia, L. 5 2014 Metric stability of the planetary \(N\)-body problem. Zbl 1373.70009 Chierchia, Luigi; Pinzari, Gabriella 4 2014 The spin-orbit resonances of the solar system: a mathematical treatment matching physical data. Zbl 1302.70034 Antognini, Francesco; Biasco, Luca; Chierchia, Luigi 2 2014 The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori. Zbl 1316.70010 Chierchia, Luigi; Pinzari, Gabriella 43 2011 Planetary Birkhoff normal forms. Zbl 1320.70009 Chierchia, Luigi; Pinzari, Gabriella 14 2011 Deprit’s reduction of the nodes revisited. Zbl 1270.70035 Chierchia, Luigi; Pinzari, Gabriella 11 2011 Properly-degenerate KAM theory (following V. I. Arnold). Zbl 1282.37033 Chierchia, Luigi; Pinzari, Gabriella 15 2010 Quasi-periodic attractors in celestial mechanics. Zbl 1161.70012 Celletti, Alessandra; Chierchia, Luigi 32 2009 Analytic Lagrangian tori for the planetary many-body problem. Zbl 1173.37067 Chierchia, Luigi; Pusateri, Fabio 9 2009 Low-order resonances in weakly dissipative spin-orbit models. Zbl 1178.34043 Biasco, Luca; Chierchia, Luigi 3 2009 Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035 Celletti, Alessandra; Chierchia, Luigi 16 2008 Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems. Zbl 1229.37077 Chierchia, L. 6 2008 Quasi-periodic attractors and spin-orbit resonances. Zbl 1144.70009 Celletti, A.; Chierchia, L. 1 2008 KAM stability and celestial mechanics. Zbl 1129.70012 Celletti, Alessandra; Chierchia, Luigi 32 2007 \(N\)-dimensional elliptic invariant tori for the planar \((N+1)\)-body problem. Zbl 1096.70005 Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 24 2006 KAM tori for \(n\)-body problems: a brief history. Zbl 1152.70008 Celletti, A.; Chierchia, L. 11 2006 KAM stability for a three-body problem of the Solar system. Zbl 1085.70015 Celletti, Alessandra; Chierchia, Luigi 9 2006 Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027 Biasco, L.; Chierchia, L.; Treschev, D. 7 2006 Corrigendum to: “Elliptic two-dimensional invariant tori for the planetary three-body problem”. Zbl 1152.70304 Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 2 2006 Exponential stability for the resonant D’Alembert model of celestial mechanics. Zbl 1067.70011 Biasco, Luca; Chierchia, Luigi 3 2005 Moser’s theorem for lower dimensional tori. Zbl 1144.37444 Chierchia, Luigi; Qian, Dingbian 24 2004 Elliptic two-dimensional invariant tori for the planetary three-body problem. Zbl 1036.70006 Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 16 2003 On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom. Zbl 1032.37039 Biasco, Luca; Chierchia, Luigi 15 2003 KAM lectures. Zbl 1070.37044 Chierchia, Luigi 4 2003 Effective Hamiltonian for the D’Alembert planetary model near a spin/orbit resonance. Zbl 1083.70014 Biasco, Luca; Chierchia, Luigi 3 2002 Upper bounds on Arnold diffusion time via Mather theory. Zbl 0986.37052 Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico 24 2001 KAM tori for 1D nonlinear wave equations with periodic boundary conditions. Zbl 0956.37054 Chierchia, Luigi; You, Jiangong 113 2000 Hamiltonian stability of spin-orbit resonances in celestial mechanics. Zbl 0999.70013 Celletti, Alessandra; Chierchia, Luigi 3 2000 A note on the construction of Hamiltonian trajectories along heteroclinic chains. Zbl 0936.37037 Chierchia, Luigi; Valdinoci, Enrico 2 2000 Construction of stable periodic orbits for the spin-orbit problem of celestial mechanics. Zbl 0988.37098 Celletti, A.; Chierchia, L. 4 1998 On the stability of realistic three-body problems. Zbl 0881.70010 Celletti, Alessandra; Chierchia, Luigi 24 1997 Compensations in small divisor problems. Zbl 0847.58026 Chierchia, L.; Falcolini, C. 7 1996 A note on quasi-periodic solutions of some elliptic systems. Zbl 0860.35027 Chierchia, L.; Falcolini, C. 2 1996 A constructive theory of Lagrangian tori and computer-assisted applications. Zbl 0820.58051 Celletti, Alessandra; Chierchia, Luigi 19 1995 Second order Hamiltonian equations on \(\mathbb{T}^ \infty\) and almost- periodic solutions. Zbl 0821.34043 Chierchia, Luigi; Perfetti, Paolo 5 1995 Arnold instability for nearly-integrable analytic Hamiltonian systems. Zbl 0951.37036 Chierchia, Luigi 3 1995 Drift and diffusion in phase space. Zbl 1010.37039 Chierchia, L.; Gallavotti, G. 78 1994 A direct proof of a theorem by Kolmogorov in Hamiltonian systems. Zbl 0836.34040 Chierchia, L.; Falcolini, C. 10 1994 Maximal almost-periodic solutions for Lagrangian equations on infinite dimensional tori. Zbl 0796.34028 Chierchia, Luigi; Perfetti, Paolo 4 1994 On the stability problem for nearly-integrable Hamiltonian systems. Zbl 0789.58036 Chierchia, Luigi 2 1994 Natural boundaries for area-preserving twist maps. Zbl 0892.58062 Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. 12 1992 A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics. Zbl 0820.70004 Celletti, Alessandra; Chierchia, Luigi 7 1991 Invariant curves for area-preserving twist maps far from integrable. Zbl 0943.37509 Celletti, Alessandra; Chierchia, Luigi 4 1991 Birth and death of invariant tori for Hamiltonian systems. Zbl 0739.58017 Chierchia, Luigi 1 1991 On the complex analytic structure of the golden invariant curve for the standard map. Zbl 0732.58014 Berretti, Alberto; Chierchia, Luigi 16 1990 A direct method for constructing solutions of the Hamilton-Jacobi equation. Zbl 0726.70009 Chierchia, Luigi 3 1990 Asymptotic expansions of quasiperiodic solutions. Zbl 0695.34040 Chierchia, L.; Zehnder, E. 9 1989 Construction of analytic KAM-surfaces and effective stability bounds. Zbl 0657.58032 Celletti, Alessandra; Chierchia, Luigi 35 1988 Rigorous estimates for a computer-assisted KAM theory. Zbl 0651.58011 Celletti, Alessandra; Chierchia, Luigi 15 1987 Absolutely continuous spectra of quasiperiodic Schrödinger operators. Zbl 0642.34018 Chierchia, Luigi 6 1987 On the weak limit of rapidly oscillating waves. Zbl 0646.73016 Chierchia, L.; Ercolani, N.; McLaughlin, D. 1 1987 Quasi-periodic Schrödinger operators in one dimension, absolutely continuous spectra, Bloch waves, and integrable Hamiltonian systems. Zbl 0632.35057 Chierchia, L. 3 1986 all cited Publications top 5 cited Publications all top 5 Cited by 427 Authors 38 Celletti, Alessandra 33 Chierchia, Luigi 25 de la Llave, Rafael 24 Geng, Jiansheng 22 Guzzo, Massimiliano 16 Biasco, Luca 15 Berti, Massimiliano 15 Pinzari, Gabriella 14 Froeschlé, Claude 14 Lega, Elena 14 Procesi, Michela 13 Li, Yong 11 Calleja, Renato C. 11 Falcolini, Corrado 11 Gentile, Guido 11 Giorgilli, Antonio 11 Xu, Junxiang 10 Locatelli, Ugo 10 Sansottera, Marco 10 M-Seara, Tere 10 Xu, XinDong 10 Yi, Yingfei 9 Delshams, Amadeu 8 Gidea, Marian 7 Bolle, Philippe 7 Gao, Meina 7 Niederman, Laurent 7 You, Jiangong 6 Bambusi, Dario 6 Bounemoura, Abed Bounemoura 6 Guardia, Marcel 6 Haro, Àlex 6 Lhotka, Christoph 6 Wiggins, Stephen R. 6 Yan, Dongfeng 6 Yuan, Xiaoping 5 Bartuccelli, Michele V. 5 Benettin, Giancarlo 5 Deane, Jonathan H. B. 5 Féjoz, Jacques 5 Fontich, Ernest 5 Li, Jing 5 Liu, Jianjun 5 Lou, Zhaowei 5 Luque, Alejandro 5 Massetti, Jessica Elisa 5 Montalto, Riccardo 5 Si, Jianguo 5 Xue, Shuaishuai 4 Barbieri, Santiago 4 Corsi, Livia 4 Feola, Roberto 4 Fortunati, Alessandro 4 Gao, Yixian 4 Gimeno, Joan 4 Ji, Shuguan 4 Kaloshin, Vadim Yu. 4 Liang, Zhenguo 4 Liu, Jie 4 Mireles-James, Jason D. 4 Misquero, Mauricio 4 Petrov, Igor’ Borisovich 4 Shi, Yanling 4 Tompaidis, Stathis 4 Valdinoci, Enrico 4 Yang, Xue 4 Zhang, Dongfeng 3 Berretti, Alberto 3 Bustamante, Adrián P. 3 Capinski, Maciej J. 3 Chandre, Cristel 3 Chen, Qinbo 3 Figueras, Jordi-Lluís 3 Ge, Chuanfang 3 Giuliani, Filippo 3 González-Enríquez, Alejandra 3 Han, Yuecai 3 Laskar, Jacques 3 Marco, Jean-Pierre 3 Martín, Pau 3 Mi, Lufang 3 Palacián, Jesús F. 3 Peralta-Salas, Daniel 3 Qian, Weichao 3 Rogov, Boris V. 3 Ruzza, Sara Di 3 Shi, Guanghua 3 Si, Wen 3 Valls Anglés, Cláudia 3 Villanueva, Jordi 3 Wang, Yi 3 Xu, Lu 3 Xu, Ming 3 Yanguas, Patricia 2 Baldomá, Inmaculada 2 Bernardi, Olga 2 Bessi, Ugo 2 Bragin, Michael D. 2 Broer, Henk W. 2 Butler, Leo T. ...and 327 more Authors all top 5 Cited in 118 Serials 52 Journal of Differential Equations 44 Celestial Mechanics and Dynamical Astronomy 26 Physica D 24 Communications in Mathematical Physics 21 Journal of Dynamics and Differential Equations 20 Regular and Chaotic Dynamics 19 Journal of Mathematical Physics 19 Discrete and Continuous Dynamical Systems 16 Nonlinearity 15 Journal of Nonlinear Science 10 Journal of Statistical Physics 10 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Communications in Nonlinear Science and Numerical Simulation 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Advances in Mathematics 7 Computational Mathematics and Mathematical Physics 7 Chaos 6 Archive for Rational Mechanics and Analysis 6 Qualitative Theory of Dynamical Systems 5 Annales de l’Institut Henri Poincaré. Physique Théorique 5 Communications on Pure and Applied Analysis 5 SIAM Journal on Applied Dynamical Systems 4 Journal of Mathematical Analysis and Applications 4 Duke Mathematical Journal 4 Inventiones Mathematicae 4 Taiwanese Journal of Mathematics 4 Annales Henri Poincaré 4 Boundary Value Problems 3 International Journal of Control 3 Physics Reports 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Journal of Functional Analysis 3 Memoirs of the American Mathematical Society 3 Ergodic Theory and Dynamical Systems 3 Chinese Annals of Mathematics. Series B 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Bulletin of the American Mathematical Society. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Bollettino dell’Unione Matematica Italiana 3 Mathematics in Engineering 2 Applicable Analysis 2 International Journal of Systems Science 2 Ukrainian Mathematical Journal 2 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 2 Reviews in Mathematical Physics 2 Chaos, Solitons and Fractals 2 Meccanica 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Experimental Mathematics 2 Computational and Applied Mathematics 2 Electronic Research Announcements of the American Mathematical Society 2 Journal of the European Mathematical Society (JEMS) 2 Discrete and Continuous Dynamical Systems. Series B 2 Proceedings of the Steklov Institute of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Communications on Pure and Applied Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematics Magazine 1 Journal of Geometry and Physics 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Journal of Optimization Theory and Applications 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Zeitschrift 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 MCSS. Mathematics of Control, Signals, and Systems 1 Forum Mathematicum 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Numerical Algorithms 1 Geometric and Functional Analysis. GAFA 1 Automation and Remote Control 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the National Academy of Sciences of the United States of America 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 Filomat 1 NoDEA. Nonlinear Differential Equations and Applications 1 Differential Equations and Dynamical Systems 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Acta Mathematica Sinica. English Series 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 Physical Review Letters 1 The ANZIAM Journal 1 Nonlinear Analysis. Real World Applications 1 Foundations of Computational Mathematics 1 Portugaliae Mathematica. Nova Série 1 Advanced Nonlinear Studies 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Milan Journal of Mathematics ...and 18 more Serials all top 5 Cited in 38 Fields 369 Dynamical systems and ergodic theory (37-XX) 242 Mechanics of particles and systems (70-XX) 127 Partial differential equations (35-XX) 65 Ordinary differential equations (34-XX) 19 Numerical analysis (65-XX) 17 Quantum theory (81-XX) 14 Statistical mechanics, structure of matter (82-XX) 11 Mechanics of deformable solids (74-XX) 11 Systems theory; control (93-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Differential geometry (53-XX) 7 Fluid mechanics (76-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 5 Astronomy and astrophysics (85-XX) 4 Functions of a complex variable (30-XX) 4 Computer science (68-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Difference and functional equations (39-XX) 3 Approximations and expansions (41-XX) 3 Relativity and gravitational theory (83-XX) 2 Real functions (26-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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