Edit Profile Chierchia, Luigi Compute Distance To: Compute Author ID: chierchia.luigi Published as: Chierchia, L.; Chierchia, Luigi External Links: MGP · Wikidata · GND Documents Indexed: 66 Publications since 1986, including 2 Books all top 5 Co-Authors 12 single-authored 15 Celletti, Alessandra 14 Biasco, Luca 5 Falcolini, Corrado 5 Pinzari, Gabriella 5 Valdinoci, Enrico 3 Benettin, Giancarlo 3 Guzzo, Massimiliano 2 Berretti, Alberto 2 Perfetti, Paolo 1 Antognini, Francesco 1 Bessi, Ugo 1 Ercolani, Nicholas M. 1 Faraggiana, M. A. 1 Fassò, Francesco 1 Gallavotti, Giovanni M. 1 Koudjinan, C. E. 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 5 Communications in Mathematical Physics 5 Celestial Mechanics and Dynamical Astronomy 4 Regular and Chaotic Dynamics 3 Archive for Rational Mechanics and Analysis 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Journal of Differential Equations 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 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 53 Dynamical systems and ergodic theory (37-XX) 44 Mechanics of particles and systems (70-XX) 18 Ordinary differential equations (34-XX) 6 Partial differential equations (35-XX) 2 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 58 Publications have been cited 618 times in 391 Documents Cited by ▼ Year ▼ KAM tori for 1D nonlinear wave equations with periodic boundary conditions. Zbl 0956.37054Chierchia, Luigi; You, Jiangong 86 2000 Drift and diffusion in phase space. Zbl 1010.37039Chierchia, L.; Gallavotti, G. 63 1994 Construction of analytic KAM-surfaces and effective stability bounds. Zbl 0657.58032Celletti, Alessandra; Chierchia, Luigi 33 1988 The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori. Zbl 1316.70010Chierchia, Luigi; Pinzari, Gabriella 30 2011 KAM stability and celestial mechanics. Zbl 1129.70012Celletti, Alessandra; Chierchia, Luigi 29 2007 \(N\)-dimensional elliptic invariant tori for the planar \((N+1)\)-body problem. Zbl 1096.70005Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 22 2006 Upper bounds on Arnold diffusion time via Mather theory. Zbl 0986.37052Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico 22 2001 On the stability of realistic three-body problems. Zbl 0881.70010Celletti, Alessandra; Chierchia, Luigi 21 1997 Elliptic two-dimensional invariant tori for the planetary three-body problem. Zbl 1036.70006Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 16 2003 Quasi-periodic attractors in celestial mechanics. Zbl 1161.70012Celletti, Alessandra; Chierchia, Luigi 15 2009 Moser’s theorem for lower dimensional tori. Zbl 1144.37444Chierchia, Luigi; Qian, Dingbian 15 2004 A constructive theory of Lagrangian tori and computer-assisted applications. Zbl 0820.58051Celletti, Alessandra; Chierchia, Luigi 15 1995 On the complex analytic structure of the golden invariant curve for the standard map. Zbl 0732.58014Berretti, Alberto; Chierchia, Luigi 15 1990 Rigorous estimates for a computer-assisted KAM theory. Zbl 0651.58011Celletti, Alessandra; Chierchia, Luigi 14 1987 The steep Nekhoroshev’s theorem. Zbl 1337.37038Guzzo, M.; Chierchia, L.; Benettin, G. 12 2016 Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035Celletti, Alessandra; Chierchia, Luigi 12 2008 On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom. Zbl 1032.37039Biasco, Luca; Chierchia, Luigi 12 2003 Planetary Birkhoff normal forms. Zbl 1320.70009Chierchia, Luigi; Pinzari, Gabriella 11 2011 Properly-degenerate KAM theory (following V. I. Arnold). Zbl 1282.37033Chierchia, Luigi; Pinzari, Gabriella 11 2010 Natural boundaries for area-preserving twist maps. Zbl 0892.58062Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. 11 1992 Deprit’s reduction of the nodes revisited. Zbl 1270.70035Chierchia, Luigi; Pinzari, Gabriella 10 2011 KAM tori for \(n\)-body problems: a brief history. Zbl 1152.70008Celletti, A.; Chierchia, L. 10 2006 Asymptotic expansions of quasiperiodic solutions. Zbl 0695.34040Chierchia, L.; Zehnder, E. 9 1989 Analytic Lagrangian tori for the planetary many-body problem. Zbl 1173.37067Chierchia, Luigi; Pusateri, Fabio 8 2009 A direct proof of a theorem by Kolmogorov in Hamiltonian systems. Zbl 0836.34040Chierchia, L.; Falcolini, C. 8 1994 KAM stability for a three-body problem of the Solar system. Zbl 1085.70015Celletti, Alessandra; Chierchia, Luigi 7 2006 Explicit estimates on the measure of primary KAM tori. Zbl 06837511Biasco, L.; Chierchia, L. 6 2018 On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems. Zbl 1361.37059Biasco, Luca; Chierchia, Luigi 6 2015 The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo 6 2014 Compensations in small divisor problems. Zbl 0847.58026Chierchia, L.; Falcolini, C. 6 1996 A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics. Zbl 0820.70004Celletti, Alessandra; Chierchia, Luigi 6 1991 Absolutely continuous spectra of quasiperiodic Schrödinger operators. Zbl 0642.34018Chierchia, Luigi 6 1987 KAM lectures. Zbl 1070.37044Chierchia, Luigi 5 2003 Periodic solutions of the planetary \(N\)-body problem. Zbl 1302.70028Chierchia, L. 4 2014 Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027Biasco, L.; Chierchia, L.; Treschev, D. 4 2006 Second order Hamiltonian equations on \(\mathbb{T}^ \infty\) and almost- periodic solutions. Zbl 0821.34043Chierchia, Luigi; Perfetti, Paolo 4 1995 Metric stability of the planetary \(N\)-body problem. Zbl 1373.70009Chierchia, Luigi; Pinzari, Gabriella 3 2014 Low-order resonances in weakly dissipative spin-orbit models. Zbl 1178.34043Biasco, Luca; Chierchia, Luigi 3 2009 Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems. Zbl 1229.37077Chierchia, L. 3 2008 Effective Hamiltonian for the D’Alembert planetary model near a spin/orbit resonance. Zbl 1083.70014Biasco, Luca; Chierchia, Luigi 3 2002 Arnold instability for nearly-integrable analytic Hamiltonian systems. Zbl 0951.37036Chierchia, Luigi 3 1995 Maximal almost-periodic solutions for Lagrangian equations on infinite dimensional tori. Zbl 0796.34028Chierchia, Luigi; Perfetti, Paolo 3 1994 Invariant curves for area-preserving twist maps far from integrable. Zbl 0943.37509Celletti, Alessandra; Chierchia, Luigi 3 1991 A direct method for constructing solutions of the Hamilton-Jacobi equation. Zbl 0726.70009Chierchia, Luigi 3 1990 V. I. Arnold’s “Pointwise” KAM theorem. Zbl 1435.37085Chierchia, L.; Koudjinan, C. E. 2 2019 The spin-orbit resonances of the solar system: a mathematical treatment matching physical data. Zbl 1302.70034Antognini, Francesco; Biasco, Luca; Chierchia, Luigi 2 2014 Corrigendum to: “Elliptic two-dimensional invariant tori for the planetary three-body problem”. Zbl 1152.70304Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 2 2006 Exponential stability for the resonant D’Alembert model of celestial mechanics. Zbl 1067.70011Biasco, Luca; Chierchia, Luigi 2 2005 Hamiltonian stability of spin-orbit resonances in celestial mechanics. Zbl 0999.70013Celletti, Alessandra; Chierchia, Luigi 2 2000 A note on the construction of Hamiltonian trajectories along heteroclinic chains. Zbl 0936.37037Chierchia, Luigi; Valdinoci, Enrico 2 2000 Construction of stable periodic orbits for the spin-orbit problem of celestial mechanics. Zbl 0988.37098Celletti, A.; Chierchia, L. 2 1998 A note on quasi-periodic solutions of some elliptic systems. Zbl 0860.35027Chierchia, L.; Falcolini, C. 2 1996 On the stability problem for nearly-integrable Hamiltonian systems. Zbl 0789.58036Chierchia, Luigi 2 1994 Quasi-periodic Schrödinger operators in one dimension, absolutely continuous spectra, Bloch waves, and integrable Hamiltonian systems. Zbl 0632.35057Chierchia, L. 2 1986 On the topology of nearly-integrable Hamiltonians at simple resonances. Zbl 07211423Biasco, L.; Chierchia, L. 1 2020 Quasi-periodic attractors and spin-orbit resonances. Zbl 1144.70009Celletti, A.; Chierchia, L. 1 2008 Birth and death of invariant tori for Hamiltonian systems. Zbl 0739.58017Chierchia, Luigi 1 1991 On the weak limit of rapidly oscillating waves. Zbl 0646.73016Chierchia, L.; Ercolani, N.; McLaughlin, D. 1 1987 On the topology of nearly-integrable Hamiltonians at simple resonances. Zbl 07211423Biasco, L.; Chierchia, L. 1 2020 V. I. Arnold’s “Pointwise” KAM theorem. Zbl 1435.37085Chierchia, L.; Koudjinan, C. E. 2 2019 Explicit estimates on the measure of primary KAM tori. Zbl 06837511Biasco, L.; Chierchia, L. 6 2018 The steep Nekhoroshev’s theorem. Zbl 1337.37038Guzzo, M.; Chierchia, L.; Benettin, G. 12 2016 On the measure of Lagrangian invariant tori in nearly-integrable mechanical systems. Zbl 1361.37059Biasco, Luca; Chierchia, Luigi 6 2015 The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo 6 2014 Periodic solutions of the planetary \(N\)-body problem. Zbl 1302.70028Chierchia, L. 4 2014 Metric stability of the planetary \(N\)-body problem. Zbl 1373.70009Chierchia, Luigi; Pinzari, Gabriella 3 2014 The spin-orbit resonances of the solar system: a mathematical treatment matching physical data. Zbl 1302.70034Antognini, Francesco; Biasco, Luca; Chierchia, Luigi 2 2014 The planetary \(N\)-body problem: symplectic foliation, reductions and invariant tori. Zbl 1316.70010Chierchia, Luigi; Pinzari, Gabriella 30 2011 Planetary Birkhoff normal forms. Zbl 1320.70009Chierchia, Luigi; Pinzari, Gabriella 11 2011 Deprit’s reduction of the nodes revisited. Zbl 1270.70035Chierchia, Luigi; Pinzari, Gabriella 10 2011 Properly-degenerate KAM theory (following V. I. Arnold). Zbl 1282.37033Chierchia, Luigi; Pinzari, Gabriella 11 2010 Quasi-periodic attractors in celestial mechanics. Zbl 1161.70012Celletti, Alessandra; Chierchia, Luigi 15 2009 Analytic Lagrangian tori for the planetary many-body problem. Zbl 1173.37067Chierchia, Luigi; Pusateri, Fabio 8 2009 Low-order resonances in weakly dissipative spin-orbit models. Zbl 1178.34043Biasco, Luca; Chierchia, Luigi 3 2009 Measures of basins of attraction in spin-orbit dynamics. Zbl 1342.70035Celletti, Alessandra; Chierchia, Luigi 12 2008 Kolmogorov’s 1954 paper on nearly-integrable Hamiltonian systems. Zbl 1229.37077Chierchia, L. 3 2008 Quasi-periodic attractors and spin-orbit resonances. Zbl 1144.70009Celletti, A.; Chierchia, L. 1 2008 KAM stability and celestial mechanics. Zbl 1129.70012Celletti, Alessandra; Chierchia, Luigi 29 2007 \(N\)-dimensional elliptic invariant tori for the planar \((N+1)\)-body problem. Zbl 1096.70005Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 22 2006 KAM tori for \(n\)-body problems: a brief history. Zbl 1152.70008Celletti, A.; Chierchia, L. 10 2006 KAM stability for a three-body problem of the Solar system. Zbl 1085.70015Celletti, Alessandra; Chierchia, Luigi 7 2006 Stability of nearly integrable, degenerate Hamiltonian systems with two degrees of freedom. Zbl 1095.37027Biasco, L.; Chierchia, L.; Treschev, D. 4 2006 Corrigendum to: “Elliptic two-dimensional invariant tori for the planetary three-body problem”. Zbl 1152.70304Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 2 2006 Exponential stability for the resonant D’Alembert model of celestial mechanics. Zbl 1067.70011Biasco, Luca; Chierchia, Luigi 2 2005 Moser’s theorem for lower dimensional tori. Zbl 1144.37444Chierchia, Luigi; Qian, Dingbian 15 2004 Elliptic two-dimensional invariant tori for the planetary three-body problem. Zbl 1036.70006Biasco, Luca; Chierchia, Luigi; Valdinoci, Enrico 16 2003 On the stability of some properly-degenerate Hamiltonian systems with two degrees of freedom. Zbl 1032.37039Biasco, Luca; Chierchia, Luigi 12 2003 KAM lectures. Zbl 1070.37044Chierchia, Luigi 5 2003 Effective Hamiltonian for the D’Alembert planetary model near a spin/orbit resonance. Zbl 1083.70014Biasco, Luca; Chierchia, Luigi 3 2002 Upper bounds on Arnold diffusion time via Mather theory. Zbl 0986.37052Bessi, Ugo; Chierchia, Luigi; Valdinoci, Enrico 22 2001 KAM tori for 1D nonlinear wave equations with periodic boundary conditions. Zbl 0956.37054Chierchia, Luigi; You, Jiangong 86 2000 Hamiltonian stability of spin-orbit resonances in celestial mechanics. Zbl 0999.70013Celletti, Alessandra; Chierchia, Luigi 2 2000 A note on the construction of Hamiltonian trajectories along heteroclinic chains. Zbl 0936.37037Chierchia, Luigi; Valdinoci, Enrico 2 2000 Construction of stable periodic orbits for the spin-orbit problem of celestial mechanics. Zbl 0988.37098Celletti, A.; Chierchia, L. 2 1998 On the stability of realistic three-body problems. Zbl 0881.70010Celletti, Alessandra; Chierchia, Luigi 21 1997 Compensations in small divisor problems. Zbl 0847.58026Chierchia, L.; Falcolini, C. 6 1996 A note on quasi-periodic solutions of some elliptic systems. Zbl 0860.35027Chierchia, L.; Falcolini, C. 2 1996 A constructive theory of Lagrangian tori and computer-assisted applications. Zbl 0820.58051Celletti, Alessandra; Chierchia, Luigi 15 1995 Second order Hamiltonian equations on \(\mathbb{T}^ \infty\) and almost- periodic solutions. Zbl 0821.34043Chierchia, Luigi; Perfetti, Paolo 4 1995 Arnold instability for nearly-integrable analytic Hamiltonian systems. Zbl 0951.37036Chierchia, Luigi 3 1995 Drift and diffusion in phase space. Zbl 1010.37039Chierchia, L.; Gallavotti, G. 63 1994 A direct proof of a theorem by Kolmogorov in Hamiltonian systems. Zbl 0836.34040Chierchia, L.; Falcolini, C. 8 1994 Maximal almost-periodic solutions for Lagrangian equations on infinite dimensional tori. Zbl 0796.34028Chierchia, Luigi; Perfetti, Paolo 3 1994 On the stability problem for nearly-integrable Hamiltonian systems. Zbl 0789.58036Chierchia, Luigi 2 1994 Natural boundaries for area-preserving twist maps. Zbl 0892.58062Berretti, A.; Celletti, A.; Chierchia, L.; Falcolini, C. 11 1992 A computer-assisted approach to small-divisors problems arising in Hamiltonian mechanics. Zbl 0820.70004Celletti, Alessandra; Chierchia, Luigi 6 1991 Invariant curves for area-preserving twist maps far from integrable. Zbl 0943.37509Celletti, Alessandra; Chierchia, Luigi 3 1991 Birth and death of invariant tori for Hamiltonian systems. Zbl 0739.58017Chierchia, Luigi 1 1991 On the complex analytic structure of the golden invariant curve for the standard map. Zbl 0732.58014Berretti, Alberto; Chierchia, Luigi 15 1990 A direct method for constructing solutions of the Hamilton-Jacobi equation. Zbl 0726.70009Chierchia, Luigi 3 1990 Asymptotic expansions of quasiperiodic solutions. Zbl 0695.34040Chierchia, L.; Zehnder, E. 9 1989 Construction of analytic KAM-surfaces and effective stability bounds. Zbl 0657.58032Celletti, Alessandra; Chierchia, Luigi 33 1988 Rigorous estimates for a computer-assisted KAM theory. Zbl 0651.58011Celletti, Alessandra; Chierchia, Luigi 14 1987 Absolutely continuous spectra of quasiperiodic Schrödinger operators. Zbl 0642.34018Chierchia, Luigi 6 1987 On the weak limit of rapidly oscillating waves. Zbl 0646.73016Chierchia, L.; Ercolani, N.; McLaughlin, D. 1 1987 Quasi-periodic Schrödinger operators in one dimension, absolutely continuous spectra, Bloch waves, and integrable Hamiltonian systems. Zbl 0632.35057Chierchia, L. 2 1986 all cited Publications top 5 cited Publications all top 5 Cited by 367 Authors 30 Celletti, Alessandra 29 Chierchia, Luigi 19 de la Llave, Rafael 19 Guzzo, Massimiliano 17 Geng, Jiansheng 14 Berti, Massimiliano 14 Froeschlé, Claude 14 Lega, Elena 13 Biasco, Luca 12 Procesi, Michela 11 Falcolini, Corrado 11 Giorgilli, Antonio 11 Li, Yong 11 Pinzari, Gabriella 10 Gentile, Guido 10 Sansottera, Marco 9 Locatelli, Ugo 9 M-Seara, Tere 8 Delshams, Amadeu 8 Xu, XinDong 7 Bolle, Philippe 7 Yi, Yingfei 6 Gao, Meina 6 Niederman, Laurent 6 Wiggins, Stephen 6 Xu, Junxiang 5 Bambusi, Dario 5 Benettin, Giancarlo 5 Bounemoura, Abed 5 Calleja, Renato C. 5 Fontich, Ernest 5 Gidea, Marian 5 Guardia, Marcel 5 Haro, Àlex 5 Liu, Jianjun 5 Luque, Alejandro 5 Yan, Dongfeng 5 You, Jiangong 5 Yuan, Xiaoping 4 Bartuccelli, Michele V. 4 Deane, Jonathan H. B. 4 Fortunati, Alessandro 4 Gao, Yixian 4 Kaloshin, Vadim Yu. 4 Petrov, Igor’ Borisovich 4 Robutel, Philippe 4 Si, Jianguo 4 Tompaidis, Stathis 4 Valdinoci, Enrico 4 Zhang, Dongfeng 3 Berretti, Alberto 3 Corsi, Livia 3 Féjoz, Jacques 3 Feola, Roberto 3 Figueras, Jordi-Lluís 3 González-Enríquez, Alejandra 3 Han, Yuecai 3 James, J. D. Mireles 3 Ji, Shuguan 3 Khokhlov, Nikolai I. 3 Lhotka, Christoph 3 Liang, Zhenguo 3 Martín, Pau 3 Montalto, Riccardo 3 Rogov, Boris V. 3 Valls Anglés, Cláudia 3 Villanueva, Jordi 3 Xu, Ming 3 Xue, Shuaishuai 3 Yang, Xue 2 Baldomá, Inmaculada 2 Bernardi, Olga 2 Bessi, Ugo 2 Bragin, Michael D. 2 Broer, Henk W. 2 Chandre, Cristel 2 Chen, Bochao 2 Cheng, Chong-Qing 2 Cong, Hongzi 2 de Simone, Emiliano 2 Fassò, Francesco 2 Fayad, Bassam R. 2 Fokam, Jean-Marcel 2 Fusè, Alessandra 2 Galante, Joseph R. 2 Gallavotti, Giovanni M. 2 Gelfreich, Vassili 2 Giuliani, Filippo 2 Golubev, V. I. 2 Gourley, Stephen A. 2 Haller, George 2 Haus, Emanuele 2 Jauslin, Hans-Rudolf 2 Jorba, Àngel 2 Koudjinan, C. E. 2 Laskar, Jacques 2 Li, Jing 2 Libert, Anne-Sophie 2 Lin, Kuo-Jung 2 MacKay, Robert Sinclair ...and 267 more Authors all top 5 Cited in 99 Serials 42 Journal of Differential Equations 41 Celestial Mechanics and Dynamical Astronomy 22 Physica D 20 Communications in Mathematical Physics 16 Journal of Dynamics and Differential Equations 16 Regular and Chaotic Dynamics 15 Journal of Mathematical Physics 10 Journal of Statistical Physics 10 Discrete and Continuous Dynamical Systems 9 Journal of Nonlinear Science 8 Nonlinearity 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Computational Mathematics and Mathematical Physics 7 Chaos 6 Advances in Mathematics 5 Archive for Rational Mechanics and Analysis 5 Annales de l’Institut Henri Poincaré. Physique Théorique 4 Journal of Mathematical Analysis and Applications 4 Duke Mathematical Journal 4 Taiwanese Journal of Mathematics 3 International Journal of Control 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 3 Inventiones Mathematicae 3 Ergodic Theory and Dynamical Systems 3 Chinese Annals of Mathematics. Series B 3 Bulletin of the American Mathematical Society. New Series 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Communications in Nonlinear Science and Numerical Simulation 3 Annales Henri Poincaré 3 Qualitative Theory of Dynamical Systems 3 Communications on Pure and Applied Analysis 2 International Journal of Systems Science 2 Physics Reports 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 Memoirs of the American Mathematical Society 2 Proceedings of the American Mathematical Society 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 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 SIAM Journal on Applied Dynamical Systems 2 Proceedings of the Steklov Institute of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Bollettino dell’Unione Matematica Italiana 1 Applicable Analysis 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 Functional Analysis 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 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 Russian Journal of Mathematical Physics 1 Journal of Mathematical Sciences (New York) 1 NoDEA. Nonlinear Differential Equations and Applications 1 Abstract and Applied Analysis 1 Mathematical Physics, Analysis and Geometry 1 Acta Mathematica Sinica. English Series 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 Milan Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Difference Equations 1 Acta Mechanica Sinica 1 Applications and Applied Mathematics 1 Frontiers of Mathematics in China 1 Electronic Research Announcements in Mathematical Sciences 1 Science China. Mathematics 1 Journal of Computational Dynamics 1 Advances in Nonlinear Analysis 1 Nonlinear Analysis. Theory, Methods & Applications 1 International Journal of Systems Science. Principles and Applications of Systems and Integration all top 5 Cited in 35 Fields 288 Dynamical systems and ergodic theory (37-XX) 182 Mechanics of particles and systems (70-XX) 97 Partial differential equations (35-XX) 52 Ordinary differential equations (34-XX) 16 Numerical analysis (65-XX) 14 Quantum theory (81-XX) 10 Systems theory; control (93-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Mechanics of deformable solids (74-XX) 7 Differential geometry (53-XX) 7 Global analysis, analysis on manifolds (58-XX) 7 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 4 Geophysics (86-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Approximations and expansions (41-XX) 2 Operator theory (47-XX) 2 Computer science (68-XX) 2 Astronomy and astrophysics (85-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-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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