Edit Profile (opens in new tab) de la Llave, Rafael Co-Author Distance Author ID: de-la-llave.rafael Published as: de la Llave, Rafael; de la Llave, R.; De La Llave, Rafael; De la Llave, R.; de La Llave, Rafael; De la Llave, Rafael; La Llave, Rafael De; De La Llave, R.; De la Lĺave, R. more...less Further Spellings: de la Llave Canosa, Rafael Homepage: http://people.math.gatech.edu/~rll6/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · IdRef · theses.fr Documents Indexed: 191 Publications since 1982, including 2 Books and 7 Additional arXiv Preprints 3 Contributions as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 92 Co-Authors with 169 Joint Publications 2,311 Co-Co-Authors all top 5 Co-Authors 24 single-authored 17 Calleja, Renato C. 14 Celletti, Alessandra 11 Fontich, Ernest 10 M-Seara, Tere 9 Delshams, Amadeu 9 Gidea, Marian 9 Valdinoci, Enrico 8 Su, Xifeng 7 Petrov, Nikola P. 6 Gimeno, Joan 6 Haro, Àlex 6 Sire, Yannick 5 Martín, Pau 4 Anderson, Rodney L. 4 González-Enríquez, Alejandra 4 Kumar, Bhanu 4 Moriyón, Roberto 4 Wayne, Clarence Eugene 4 Windsor, Alistair 3 Blass, Timothy 3 Cabré, Xavier 3 Cheng, Hongyu 3 Falcolini, Corrado 3 He, Xiaolong 3 Huguet, Gemma 3 Jiang, Miaohua 3 Marco, José Manuel 3 Olvera, Arturo 3 Tompaidis, Stathis 3 Wang, Fenfen 3 Yang, Jiaqi 3 Zhang, Lei 2 Banyaga, Augustin 2 Blazevski, Daniel 2 Bustamante, Adrián P. 2 Caffarelli, Luis Ángel 2 Corsi, Livia 2 Díaz-Espinosa, Oliver 2 Fefferman, Charles Louis 2 Figueras, Jordi-Lluís 2 Jorba, Àngel 2 Koch, Hans-Friedrich 2 Li, Xuemei 2 Mireles-James, Jason D. 2 Musser, Maxwell 2 Obaya, Rafael 2 Panayotaros, Panayotis 2 Pesin, Yakov Borisovich 2 Radin, Charles 2 Rana, David 2 Sadovskaya, Victoria 2 Saprykina, Maria 2 Yao, Yian 1 Adomaitis, Raymond A. 1 Alishah, Hassan Najafi 1 An, Yujia 1 Apte, Amit 1 Baldomá, Inmaculada 1 Canadell, Marta 1 Capinski, Maciej J. 1 Casal, Alfonso Carlos 1 Chen, Qinbo 1 Cordoba, Diego 1 Fox, Adam M. 1 Gameiro, Marcio F. 1 Gogolev, Andrey 1 González, Alejandra 1 Gunter, Brian C. 1 Haddad, Wassim Michael 1 Itin, A. P. 1 Kalinin, Boris 1 Katok, Anatole 1 Kevrekidis, Ioannis George 1 Kogelbauer, Florian 1 Lessard, Jean-Philippe 1 Lomelí, Héctor E. 1 Lorenz, Jens 1 Luque, Alejandro 1 Micena, Fernando Pereira 1 Neĭshtadt, Anatoliĭ Iserovich 1 Petzold, Linda Ruth 1 Salahshoor, Hossein 1 Shirani, Farshad 1 Shub, Michael 1 Simó, Carles 1 Vano, John A. 1 Vasil’ev, Alekseĭ Alekseevich 1 Villanueva, Jordi 1 Wang, Donghua 1 Weiss, Howard 1 Xu, Lu 1 Xu, Xiaodan 1 Yao, Dongyu 1 Zou, Maorong all top 5 Serials 13 Journal of Statistical Physics 13 Journal of Differential Equations 13 Discrete and Continuous Dynamical Systems 12 Nonlinearity 11 SIAM Journal on Applied Dynamical Systems 9 Communications in Mathematical Physics 8 Ergodic Theory and Dynamical Systems 8 SIAM Journal on Mathematical Analysis 5 Journal of Dynamics and Differential Equations 5 Journal of Nonlinear Science 4 Advances in Mathematics 4 Physica D 4 Chaos 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Physics A: Mathematical and Theoretical 3 Transactions of the American Mathematical Society 3 Regular and Chaotic Dynamics 2 Communications on Pure and Applied Mathematics 2 Journal of Mathematical Physics 2 Indiana University Mathematics Journal 2 Memoirs of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Celestial Mechanics and Dynamical Astronomy 2 Mathematical Research Letters 2 Mathematical Physics Electronic Journal 2 Annales Henri Poincaré 2 Discrete and Continuous Dynamical Systems. Series B 2 Journal of Modern Dynamics 2 Discrete and Continuous Dynamical Systems. Series S 1 American Mathematical Monthly 1 Archive for Rational Mechanics and Analysis 1 Mathematische Zeitschrift 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Expositiones Mathematicae 1 Journal of Knot Theory and its Ramifications 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Experimental Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 Annals of Mathematics. Second Series 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Dynamical and Control Systems 1 Qualitative Theory of Dynamical Systems 1 La Gaceta de la Real Sociedad Matemática Española 1 Physical Review Letters 1 Foundations of Computational Mathematics 1 Communications on Pure and Applied Analysis 1 The IMA Volumes in Mathematics and its Applications 1 Proceedings of Symposia in Pure Mathematics 1 Networks and Heterogeneous Media 1 Electronic Research Announcements in Mathematical Sciences 1 Mathematics Research Reports all top 5 Fields 145 Dynamical systems and ergodic theory (37-XX) 70 Mechanics of particles and systems (70-XX) 30 Ordinary differential equations (34-XX) 19 Partial differential equations (35-XX) 19 Statistical mechanics, structure of matter (82-XX) 15 Numerical analysis (65-XX) 11 Global analysis, analysis on manifolds (58-XX) 9 Operator theory (47-XX) 8 Differential geometry (53-XX) 7 Fluid mechanics (76-XX) 5 Functional analysis (46-XX) 5 Calculus of variations and optimal control; optimization (49-XX) 4 Functions of a complex variable (30-XX) 3 General and overarching topics; collections (00-XX) 3 Real functions (26-XX) 3 Convex and discrete geometry (52-XX) 3 Manifolds and cell complexes (57-XX) 3 Probability theory and stochastic processes (60-XX) 3 Quantum theory (81-XX) 3 Biology and other natural sciences (92-XX) 2 Difference and functional equations (39-XX) 2 Computer science (68-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 General topology (54-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 168 Publications have been cited 3,093 times in 1,235 Documents Cited by ▼ Year ▼ The parameterization method for invariant manifolds. I: Manifolds associated to non-resonant subspaces. Zbl 1034.37016 Cabré, Xavier; Fontich, Ernest; De La Llave, Rafael 136 2003 The parameterization method for invariant manifolds. III: Overview and applications. Zbl 1101.37019 Cabré, Xavier; Fontich, Ernest; de La Llave, Rafael 133 2005 Canonical perturbation theory of Anosov systems and regularity results for the Livsic cohomology equation. Zbl 0603.58016 De la Llave, R.; Marco, J. M.; Moriyon, R. 120 1986 A tutorial on KAM theory. Zbl 1055.37064 de la Llave, Rafael 109 2001 The parameterization method for invariant manifolds. II: Regularity with respect to parameters. Zbl 1034.37017 Cabré, Xavier; Fontich, Ernest; De La Llave, Rafael 91 2003 KAM theory without action-angle variables. Zbl 1067.37081 de la Llave, R.; González, A.; Jorba, À.; Villanueva, J. 78 2005 A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: rigorous results. Zbl 1102.37017 Haro, A.; de la Llave, R. 72 2006 A geometric mechanism for diffusion in Hamiltonian systems overcoming in the large gap problem: Heuristics and rigorous verification on a model. Zbl 1090.37044 Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. 72 2006 A parametrization method for the computation of invariant tori and their whiskers in quasi-periodic maps: numerical algorithms. Zbl 1296.37048 Haro, À.; de la Llave, R. 70 2006 Relativistic stability of matter. I. Zbl 0602.58015 Fefferman, C.; de la Llave, R. 69 1987 A KAM theory for conformally symplectic systems: efficient algorithms and their validation. Zbl 1345.37078 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 61 2013 Geometric properties of the scattering map of a normally hyperbolic invariant manifold. Zbl 1131.37032 Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. 56 2008 A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity. Zbl 1210.37062 Haro, A.; de la Llave, R. 55 2007 A geometric approach to the existence of orbits with unbounded energy in generic periodic perturbations by a potential of generic geodesic flows of \(\mathbb{T}^2\). Zbl 0952.70015 Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. 53 2000 Regularity of the composition operator in spaces of Hölder functions. Zbl 0956.47029 de la Llave, R.; Obaya, R. 51 1999 Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems. Zbl 0770.58029 de la Llave, R. 45 1992 Planelike minimizers in periodic media. Zbl 1036.49040 Caffarelli, Luis A.; de la Llave, Rafael 45 2001 On squirt singularities in hydrodynamics. Zbl 1078.76018 Córdoba, Diego; Fefferman, Charles; de la Llave, Rafael 39 2004 KAM theory and a partial justification of Greene’s criterion for nontwist maps. Zbl 1049.37032 Delshams, Amadeu; de la Llave, Rafael 39 2000 A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification. Zbl 1209.37008 Calleja, Renato; de la Llave, Rafael 36 2010 Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108 Huguet, Gemma; de la Llave, Rafael 35 2013 Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066 Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 33 2009 A rigorous partial justification of Greene’s criterion. Zbl 0892.58045 Falcolini, Corrado; de la Llave, R. 32 1992 Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004 Huguet, Gemma; de la Llave, Rafael; Sire, Yannick 32 2012 A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations. Zbl 1171.35372 de la Llave, Rafael; Valdinoci, Enrico 28 2009 Invariants for smooth conjugacy of hyperbolic dynamical systems. II. Zbl 0673.58036 de la Llave, R. 28 1987 Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media. Zbl 1152.35038 de la Llave, Rafael; Valdinoci, Enrico 27 2007 Singularity theory for non-twist KAM tori. Zbl 1343.37043 González-Enríquez, A.; Haro, A.; de la Llave, R. 27 2014 On Irwin’s proof of the pseudostable manifold theorem. Zbl 0843.58100 de la Llave, Rafael; Wayne, C. Eugene 26 1995 Cohomology equations near hyperbolic points and geometric versions of Sternberg linearization theorem. Zbl 0918.53016 Banyaga, A.; de la Llave, R.; Wayne, C. E. 26 1996 Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case. Zbl 1407.34094 He, Xiaolong; de la Llave, Rafael 26 2016 Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems. Zbl 1230.37042 de la Llave, Rafael; Windsor, Alistair 26 2010 Orbits of unbounded energy in quasi-periodic perturbations of geodesic flows. Zbl 1091.37018 Delshams, Amadeu; de La Llave, Rafael; Seara, Tere M. 25 2006 Topological methods in the instability problem of Hamiltonian systems. Zbl 1098.37056 Gidea, Marian; de la Llave, Rafael 25 2006 A general mechanism of diffusion in Hamiltonian systems: qualitative results. Zbl 1437.37072 Gidea, Marian; La Llave, Rafael De; M-Seara, Tere 24 2020 Fast numerical computation of quasi-periodic equilibrium states in 1D statistical mechanics, including twist maps. Zbl 1183.37014 Calleja, Renato; de la Llave, Rafael 24 2009 Ground states and critical points for generalized Frenkel-Kontorova models in \(\mathbb Z^d\). Zbl 1206.82026 de la Llave, Rafael; Valdinoci, Enrico 23 2007 A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations. Zbl 1370.65046 Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael 23 2017 Interfaces of ground states in Ising models with periodic coefficients. Zbl 1126.82305 Caffarelli, Luis A.; de la Llave, Rafael 22 2005 Invariant manifolds associated to nonresonant spectral subspaces. Zbl 0965.37028 de la Llave, Rafael 22 1997 Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation. Zbl 1370.65047 Figueras, Jordi-Lluís; de la Llave, Rafael 22 2017 Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification. Zbl 1359.37121 Capiński, Maciej J.; Gidea, Marian; de la Llave, Rafael 22 2017 Geometric approaches to the problem of instability in Hamiltonian systems: an informal presentation. Zbl 1144.37022 Delshams, Amadeu; Gidea, Marian; de la Llave, Rafael; Seara, Tere M. 21 2008 Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion. Zbl 1355.37074 Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. 21 2016 A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities. Zbl 1179.35340 de la Llave, Rafael 21 2009 Ground states and critical points for Aubry-Mather theory in Statistical mechanics. Zbl 1196.82095 de la Llave, Rafael; Valdinoci, Enrico 20 2010 Construction of quasi-periodic solutions of delay differential equations via KAM techniques. Zbl 1184.34076 Li, Xuemei; de la Llave, Rafael 19 2009 An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108 de la Llave, Rafael; Sire, Yannick 19 2019 Invariants for smooth conjugacy of hyperbolic dynamical systems. IV. Zbl 0673.58038 de la Llave, R.; Moriyón, R. 19 1988 Whiskered and low dimensional tori in nearly integrable Hamiltonian systems. Zbl 1136.37349 de la Llave, R.; Wayne, C. E. 18 2004 Manifolds on the verge of a hyperbolicity breakdown. Zbl 1144.37352 Haro, À.; de la Llave, R. 18 2006 Accurate strategies for K. A. M. bounds and their implementation. Zbl 0747.65039 De la Llave, R.; Rana, D. 17 1991 The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points. Zbl 1123.37011 Baldomá, Immaculada; Fontich, Ernest; de la Llave, Rafael; Martín, Pau 17 2007 Aubry-Mather theory for functions on lattices. Zbl 0948.37015 Koch, Hans; de la Llave, Rafael; Radin, Charles 17 1997 On the Aubry-Mather theory in statistical mechanics. Zbl 0917.46070 Candel, A.; de la Llave, R. 17 1998 Lindstedt series for lower dimensional tori. Zbl 0961.37020 Jorba, Àngel; de la Llave, Rafael; Zou, Maorong 17 1999 Local rigidity for Anosov automorphisms. With an appendix by Rafael de la Llave. Zbl 1271.37031 Gogolev, Andrey; Kalinin, Boris; Sadovskaya, Victoria 17 2011 Numerical calculation of domains of analyticity for perturbation theories in the presence of small divisors. Zbl 0892.58066 Falcolini, Corrado; de la Llave, R. 16 1992 Existence of ideal knots. Zbl 1028.57008 Gonzalez, O.; de la Llave, R. 16 2003 Smooth dependence of thermodynamic limits of SRB-measures. Zbl 0956.37022 Jiang, Miaohua; de la Llave, Rafael 16 2000 Construction of response functions in forced strongly dissipative systems. Zbl 1339.70040 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 16 2013 A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040 Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 16 2009 Regularity of critical invariant circles of the standard nontwist map. Zbl 1074.37026 Apte, A.; de la Llave, Rafael; Petrov, Nikola P. 15 2005 A geometric mechanism for diffusion in Hamiltonian systems overcoming the large gap problem: announcement of results. Zbl 1068.37043 Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. 15 2003 Response solutions for quasi-periodically forced, dissipative wave equations. Zbl 1516.35036 Calleja, Renato C.; Celletti, Alessandra; Corsi, Livia; de la Llave, Rafael 15 2017 Accurate strategies for small divisor problems. Zbl 0739.58060 De la Llave, R.; Rana, David 15 1990 Local behavior near quasi-periodic solutions of conformally symplectic systems. Zbl 1274.70040 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 15 2013 Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. I: Finitely differentiable, hyperbolic case. Zbl 1384.34080 He, Xiaolong; de la Llave, Rafael 15 2017 Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258 Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 14 2015 KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070 Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael 14 2022 Computation of the breakdown of analyticity in statistical mechanics models: Numerical results and a renormalization group explanation. Zbl 1205.82067 Calleja, Renato; de la Llave, Rafael 14 2010 Regularity of conjugacies between critical circle maps: an experimental study. Zbl 1116.37306 de la Llave, Rafael; Petrov, Nikola P. 14 2002 Variational methods for quasi-periodic solutions of partial differential equations. Zbl 0987.35015 de la Llave, Rafael 13 2000 Perturbations of geodesic flows by recurrent dynamics. Zbl 1362.37116 Gidea, Marian; de la Llave, Rafael 13 2017 Parameterization of invariant manifolds by reducibility for volume preserving and symplectic maps. Zbl 1252.32015 de la Llave, Rafael; Mireles James, Jason D. 13 2012 KAM theory for quasi-periodic equilibria in one-dimensional quasi-periodic media. Zbl 1329.70046 Su, Xifeng; de la Llave, Rafael 13 2012 Symmetry for a Dirichlet-Neumann problem arising in water waves. Zbl 1202.35066 de la Llave, Rafael; Valdinoci, Enrico 13 2009 The obstruction criterion for non-existence of invariant circles and renormalization. Zbl 1190.37046 de la Llave, Rafael; Olvera, Arturo 12 2006 Critical points inside the gaps of ground state laminations for some models in statistical mechanics. Zbl 1132.82010 de la Llave, Rafael; Valdinoci, Enrico 12 2007 Connecting orbits for compact infinite dimensional maps: computer assisted proofs of existence. Zbl 1343.37078 de la Llave, R.; Mireles James, J. D. 12 2016 Stable manifolds to bounded solutions in possibly ill-posed PDEs. Zbl 1448.35564 Cheng, Hongyu; de la Llave, Rafael 12 2020 Analytic smoothing of geometric maps with applications to KAM theory. Zbl 1160.37024 González-Enríquez, A.; de la Llave, R. 11 2008 Further rigidity properties of conformal Anosov systems. Zbl 1087.37024 De La Llave, R. 11 2004 KAM theory for equilibrium states in 1-D statistical mechanics models. Zbl 1163.82002 de la Llave, Rafael 10 2008 Rigidity of higher-dimensional conformal Anosov systems. Zbl 1028.37021 de la Llave, Rafael 10 2002 Gravity waves on the surface of the sphere. Zbl 0844.76008 de la Llave, R.; Panayotaros, P. 10 1996 Barriers to transport and mixing in volume-preserving maps with nonzero flux. Zbl 1364.76066 Fox, Adam M.; de la Llave, Rafael 10 2015 The analyticity breakdown for Frenkel-Kontorova models in quasi-periodic media: numerical explorations. Zbl 1266.82014 Blass, Timothy; de la Llave, Rafael 10 2013 Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems. Zbl 1425.70037 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 10 2017 Response solutions to quasi-periodically forced systems, even to possibly ill-posed PDEs, with strong dissipation and any frequency vectors. Zbl 1448.34117 Wang, Fenfen; de la Llave, Rafael 10 2020 KAM tori and whiskered invariant tori for non-autonomous systems. Zbl 1364.37048 Canadell, Marta; de la Llave, Rafael 9 2015 Parameterization method for state-dependent delay perturbation of an ordinary differential equation. Zbl 1482.34193 Yang, Jiaqi; Gimeno, Joan; de la Llave, Rafael 9 2021 Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W. Si and J. Si and extensions. Zbl 1473.37075 Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen 9 2021 Expansions in the delay of quasi-periodic solutions for state dependent delay equations. Zbl 1514.34128 Casal, Alfonso; Corsi, Livia; de la Llave, Rafael 9 2020 Linear response function for coupled hyperbolic attractors. Zbl 1084.37031 Jiang, Miaohua; de la Llave, Rafael 9 2006 Remarks on Sobolev regularity in Anosov systems. Zbl 1055.37030 de la Llave, Rafael 8 2001 Resonant equilibrium configurations in quasi-periodic media: perturbative expansions. Zbl 1382.70022 de la Llave, Rafael; Su, Xifeng; Zhang, Lei 8 2016 An extension of Greene’s criterion for conformally symplectic systems and a partial justification. Zbl 1341.37031 Calleja, Renato C.; Celletti, Alessandra; Falcolini, Corrado; de la Llave, Rafael 8 2014 Time-dependent scattering theory for ODEs and applications to reaction dynamics. Zbl 1223.34119 Blazevski, Daniel; de la Llave, Rafael 8 2011 Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053 Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael 8 2022 Resonances and phase locking phenomena for foliation preserving torus maps. Zbl 1515.37060 He, Xiaolong; de la Llave, Rafael 3 2023 KAM quasi-periodic tori for the dissipative spin-orbit problem. Zbl 1480.37070 Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael 14 2022 Rapid and accurate methods for computing whiskered tori and their manifolds in periodically perturbed planar circular restricted 3-body problems. Zbl 1486.70053 Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael 8 2022 KAM quasi-periodic solutions for the dissipative standard map. Zbl 1494.37043 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 7 2022 Analytic genericity of diffusing orbits in a priori unstable Hamiltonian systems. Zbl 1501.37063 Chen, Qinbo; de la Llave, Rafael 6 2022 Efficient and reliable algorithms for the computation of non-twist invariant circles. Zbl 1501.37064 González, Alejandra; Haro, Àlex; de la Llave, Rafael 5 2022 Efficient and accurate KAM tori construction for the dissipative spin-orbit problem using a map reduction. Zbl 1505.70035 Calleja, Renato; Celletti, Alessandra; Gimeno, Joan; de la Llave, Rafael 5 2022 Persistence and smooth dependence on parameters of periodic orbits in functional differential equations close to an ODE or an evolutionary PDE. Zbl 1508.34076 Yang, Jiaqi; Gimeno, Joan; de la Llave, Rafael 3 2022 Gevrey estimates for asymptotic expansions of tori in weakly dissipative systems. Zbl 1501.37060 Bustamante, Adrián P.; de la Llave, Rafael 1 2022 Melnikov method for non-conservative perturbations of the restricted three-body problem. Zbl 1490.70033 Gidea, Marian; de la Llave, Rafael; Musser, Maxwell 1 2022 The existence of solutions for nonlinear elliptic equations: simple proofs and extensions of a paper by Y. Shi. Zbl 1485.35197 Xu, Xiaodan; de la Llave, Rafael; Wang, Fenfen 1 2022 Convergence of the Birkhoff normal form sometimes implies convergence of a normalizing transformation. Zbl 1495.37052 De La Llave, Rafael; Saprykina, Maria 1 2022 Parameterization method for state-dependent delay perturbation of an ordinary differential equation. Zbl 1482.34193 Yang, Jiaqi; Gimeno, Joan; de la Llave, Rafael 9 2021 Response solutions to the quasi-periodically forced systems with degenerate equilibrium: a simple proof of a result of W. Si and J. Si and extensions. Zbl 1473.37075 Cheng, Hongyu; de la Llave, Rafael; Wang, Fenfen 9 2021 High-order resonant orbit manifold expansions for mission design in the planar circular restricted 3-body problem. Zbl 1477.70012 Kumar, Bhanu; Anderson, Rodney L.; de la Llave, Rafael 7 2021 Numerical computation of periodic orbits and isochrons for state-dependent delay perturbation of an ODE in the plane. Zbl 1487.37094 Gimeno, Joan; Yang, Jiaqi; de la Llave, Rafael 4 2021 Lyapunov exponents everywhere and rigidity. Zbl 1486.37019 Pereira Micena, Fernando; de la Llave, Rafael 3 2021 Global effect of non-conservative perturbations on homoclinic orbits. Zbl 1459.37050 Gidea, Marian; de la Llave, Rafael; Musser, Maxwell 3 2021 A general mechanism of diffusion in Hamiltonian systems: qualitative results. Zbl 1437.37072 Gidea, Marian; La Llave, Rafael De; M-Seara, Tere 24 2020 Stable manifolds to bounded solutions in possibly ill-posed PDEs. Zbl 1448.35564 Cheng, Hongyu; de la Llave, Rafael 12 2020 Response solutions to quasi-periodically forced systems, even to possibly ill-posed PDEs, with strong dissipation and any frequency vectors. Zbl 1448.34117 Wang, Fenfen; de la Llave, Rafael 10 2020 Expansions in the delay of quasi-periodic solutions for state dependent delay equations. Zbl 1514.34128 Casal, Alfonso; Corsi, Livia; de la Llave, Rafael 9 2020 Time dependent center manifold in PDEs. Zbl 1452.35043 Cheng, Hongyu; de la Llave, Rafael 5 2020 Existence of whiskered KAM tori of conformally symplectic systems. Zbl 1471.70017 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 4 2020 A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold. Zbl 1454.37054 Gidea, Marian; de la Llave, Rafael; Seara, Tere M. 3 2020 An a posteriori KAM theorem for whiskered tori in Hamiltonian partial differential equations with applications to some ill-posed equations. Zbl 1407.37108 de la Llave, Rafael; Sire, Yannick 19 2019 Global persistence of Lyapunov subcenter manifolds as spectral submanifolds under dissipative perturbations. Zbl 1473.70033 de la Llave, Rafael; Kogelbauer, Florian 2 2019 Global Melnikov theory in Hamiltonian systems with general time-dependent perturbations. Zbl 1405.37065 Gidea, Marian; de la Llave, Rafael 8 2018 Transition state theory with quasi-periodic forcing. Zbl 1470.37045 Zhang, Lei; de la Llave, Rafael 8 2018 Uniform boundedness of iterates of analytic mappings implies linearization: a simple proof and extensions. Zbl 1402.32018 de la Llave, Rafael 1 2018 A framework for the numerical computation and a posteriori verification of invariant objects of evolution equations. Zbl 1370.65046 Figueras, Jordi-Lluís; Gameiro, Marcio; Lessard, Jean-Philippe; de la Llave, Rafael 23 2017 Numerical computations and computer assisted proofs of periodic orbits of the Kuramoto-Sivashinsky equation. Zbl 1370.65047 Figueras, Jordi-Lluís; de la Llave, Rafael 22 2017 Arnold diffusion in the planar elliptic restricted three-body problem: mechanism and numerical verification. Zbl 1359.37121 Capiński, Maciej J.; Gidea, Marian; de la Llave, Rafael 22 2017 Response solutions for quasi-periodically forced, dissipative wave equations. Zbl 1516.35036 Calleja, Renato C.; Celletti, Alessandra; Corsi, Livia; de la Llave, Rafael 15 2017 Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. I: Finitely differentiable, hyperbolic case. Zbl 1384.34080 He, Xiaolong; de la Llave, Rafael 15 2017 Perturbations of geodesic flows by recurrent dynamics. Zbl 1362.37116 Gidea, Marian; de la Llave, Rafael 13 2017 Domains of analyticity and Lindstedt expansions of KAM tori in some dissipative perturbations of Hamiltonian systems. Zbl 1425.70037 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 10 2017 Resonant equilibrium configurations in quasi-periodic media: KAM theory. Zbl 1404.70057 de la Llave, Rafael; Su, Xifeng; Zhang, Lei 5 2017 A continuous family of equilibria in ferromagnetic media are ground states. Zbl 1376.82109 Su, Xifeng; de la Llave, Rafael 4 2017 On the global dynamics of an electroencephalographic mean field model of the neocortex. Zbl 1382.35318 Shirani, Farshad; Haddad, Wassim M.; de la Llave, Rafael 3 2017 Simple proofs and extensions of a result of L. D. Pustylnikov on the nonautonomous Siegel theorem. Zbl 1385.37022 de la Llave, Rafael 1 2017 Construction of quasi-periodic solutions of state-dependent delay differential equations by the parameterization method. II: Analytic case. Zbl 1407.34094 He, Xiaolong; de la Llave, Rafael 26 2016 Instability of high dimensional Hamiltonian systems: multiple resonances do not impede diffusion. Zbl 1355.37074 Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. 21 2016 Connecting orbits for compact infinite dimensional maps: computer assisted proofs of existence. Zbl 1343.37078 de la Llave, R.; Mireles James, J. D. 12 2016 Resonant equilibrium configurations in quasi-periodic media: perturbative expansions. Zbl 1382.70022 de la Llave, Rafael; Su, Xifeng; Zhang, Lei 8 2016 Construction of invariant whiskered tori by a parameterization method. II: Quasi-periodic and almost periodic breathers in coupled map lattices. Zbl 1351.37258 Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 14 2015 Barriers to transport and mixing in volume-preserving maps with nonzero flux. Zbl 1364.76066 Fox, Adam M.; de la Llave, Rafael 10 2015 KAM tori and whiskered invariant tori for non-autonomous systems. Zbl 1364.37048 Canadell, Marta; de la Llave, Rafael 9 2015 Singularity theory for non-twist KAM tori. Zbl 1343.37043 González-Enríquez, A.; Haro, A.; de la Llave, R. 27 2014 An extension of Greene’s criterion for conformally symplectic systems and a partial justification. Zbl 1341.37031 Calleja, Renato C.; Celletti, Alessandra; Falcolini, Corrado; de la Llave, Rafael 8 2014 Localized stable manifolds for whiskered tori in coupled map lattices with decaying interaction. Zbl 1304.37020 Blazevski, Daniel; de la Llave, Rafael 4 2014 A KAM theory for conformally symplectic systems: efficient algorithms and their validation. Zbl 1345.37078 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 61 2013 Computation of limit cycles and their isochrons: fast algorithms and their convergence. Zbl 1291.37108 Huguet, Gemma; de la Llave, Rafael 35 2013 Construction of response functions in forced strongly dissipative systems. Zbl 1339.70040 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 16 2013 Local behavior near quasi-periodic solutions of conformally symplectic systems. Zbl 1274.70040 Calleja, Renato C.; Celletti, Alessandra; de la Llave, Rafael 15 2013 The analyticity breakdown for Frenkel-Kontorova models in quasi-periodic media: numerical explorations. Zbl 1266.82014 Blass, Timothy; de la Llave, Rafael 10 2013 Fast iteration of cocycles over rotations and computation of hyperbolic bundles. Zbl 1308.70038 Huguet, Gemma; de la Llave, Rafael; Sire, Yannick 5 2013 Computation of whiskered invariant tori and their associated manifolds: new fast algorithms. Zbl 1279.70004 Huguet, Gemma; de la Llave, Rafael; Sire, Yannick 32 2012 Parameterization of invariant manifolds by reducibility for volume preserving and symplectic maps. Zbl 1252.32015 de la Llave, Rafael; Mireles James, Jason D. 13 2012 KAM theory for quasi-periodic equilibria in one-dimensional quasi-periodic media. Zbl 1329.70046 Su, Xifeng; de la Llave, Rafael 13 2012 Percival Lagrangian approach to the Aubry-Mather theory. Zbl 1337.70037 Su, Xifeng; de la Llave, Rafael 7 2012 KAM theory for quasi-periodic equilibria in 1D quasi-periodic media. II: Long-range interactions. Zbl 1339.70041 Su, Xifeng; de la Llave, Rafael 5 2012 Invariant manifolds for analytic difference equations. Zbl 1260.39008 de la Llave, Rafael; Lomelí, Héctor E. 4 2012 Tracing KAM tori in presymplectic dynamical systems. Zbl 1327.70014 Alishah, Hassan Najafi; de la Llave, Rafael 4 2012 Local rigidity for Anosov automorphisms. With an appendix by Rafael de la Llave. Zbl 1271.37031 Gogolev, Andrey; Kalinin, Boris; Sadovskaya, Victoria 17 2011 Time-dependent scattering theory for ODEs and applications to reaction dynamics. Zbl 1223.34119 Blazevski, Daniel; de la Llave, Rafael 8 2011 Dynamical systems on lattices with decaying interaction. I: A functional analysis framework. Zbl 1213.37114 Fontich, Ernest; de la Llave, Rafael; Martín, Pau 7 2011 Dynamical systems on lattices with decaying interaction. II: Hyperbolic sets and their invariant manifolds. Zbl 1213.37115 Fontich, Ernest; de la Llave, Rafael; Martín, Pau 6 2011 Differentiability at the tip of Arnold tongues for Diophantine rotations: numerical studies and renormalization group explanations. Zbl 1226.82019 de la Llave, Rafael; Luque, Alejandro 6 2011 Smooth dependence on parameters of solutions to cohomology equations over Anosov systems with applications to cohomology equations on diffeomorphism groups. Zbl 1222.37025 de la Llave, Rafael; Windsor, Alistair 6 2011 Combination laws for scaling exponents and relation to the geometry of renormalization operators. Zbl 1242.82017 de la Llave, Rafael; Olvera, Arturo; Petrov, Nikola P. 3 2011 Perturbation and numerical methods for computing the minimal average energy. Zbl 1262.35019 Blass, Timothy; de la Llave, Rafael 2 2011 A comparison principle for a Sobolev gradient semi-flow. Zbl 1229.35023 Blass, Timothy; de la Llave, Rafael; Valdinoci, Enrico 1 2011 \(L^p\)-bounds for quasi-geostrophic equations via functional analysis. Zbl 1272.35165 de la Llave, Rafael; Valdinoci, Enrico 1 2011 A numerically accessible criterion for the breakdown of quasi-periodic solutions and its rigorous justification. Zbl 1209.37008 Calleja, Renato; de la Llave, Rafael 36 2010 Livšic theorems for non-commutative groups including diffeomorphism groups and results on the existence of conformal structures for Anosov systems. Zbl 1230.37042 de la Llave, Rafael; Windsor, Alistair 26 2010 Ground states and critical points for Aubry-Mather theory in Statistical mechanics. Zbl 1196.82095 de la Llave, Rafael; Valdinoci, Enrico 20 2010 Computation of the breakdown of analyticity in statistical mechanics models: Numerical results and a renormalization group explanation. Zbl 1205.82067 Calleja, Renato; de la Llave, Rafael 14 2010 Convergence of differentiable functions on closed sets and remarks on the proofs of the “converse approximation lemmas”. Zbl 1223.26027 Li, Xuemei; de la Llave, Rafael 5 2010 Construction of invariant whiskered tori by a parameterization method. I: Maps and flows in finite dimensions. Zbl 1209.37066 Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 33 2009 A generalization of Aubry-Mather theory to partial differential equations and pseudo-differential equations. Zbl 1171.35372 de la Llave, Rafael; Valdinoci, Enrico 28 2009 Fast numerical computation of quasi-periodic equilibrium states in 1D statistical mechanics, including twist maps. Zbl 1183.37014 Calleja, Renato; de la Llave, Rafael 24 2009 A smooth center manifold theorem which applies to some ill-posed partial differential equations with unbounded nonlinearities. Zbl 1179.35340 de la Llave, Rafael 21 2009 Construction of quasi-periodic solutions of delay differential equations via KAM techniques. Zbl 1184.34076 Li, Xuemei; de la Llave, Rafael 19 2009 A method for the study of whiskered quasi-periodic and almost-periodic solutions in finite and infinite dimensional Hamiltonian systems. Zbl 1237.37040 Fontich, Ernest; de la Llave, Rafael; Sire, Yannick 16 2009 Symmetry for a Dirichlet-Neumann problem arising in water waves. Zbl 1202.35066 de la Llave, Rafael; Valdinoci, Enrico 13 2009 An application of topological multiple recurrence to tiling. Zbl 1175.37023 de la Llave, Rafael; Windsor, A. 3 2009 Geometric properties of the scattering map of a normally hyperbolic invariant manifold. Zbl 1131.37032 Delshams, Amadeu; de la Llave, Rafael; Seara, Tere M. 56 2008 Geometric approaches to the problem of instability in Hamiltonian systems: an informal presentation. Zbl 1144.37022 Delshams, Amadeu; Gidea, Marian; de la Llave, Rafael; Seara, Tere M. 21 2008 Analytic smoothing of geometric maps with applications to KAM theory. Zbl 1160.37024 González-Enríquez, A.; de la Llave, R. 11 2008 KAM theory for equilibrium states in 1-D statistical mechanics models. Zbl 1163.82002 de la Llave, Rafael 10 2008 Boundaries of Siegel disks: numerical studies of their dynamics and regularity. Zbl 1309.37045 de la Llave, Rafael; Petrov, Nikola P. 4 2008 Entropy estimates for a family of expanding maps of the circle. Zbl 1173.37020 de la Llave, Rafael; Shub, Michael; Simó, Carles 1 2008 Renormalization of arbitrary weak noises for one-dimensional critical dynamical systems: summary of results and numerical explorations. Zbl 1153.37022 Díaz-Espinosa, Oliver; de la Llave, Rafael 1 2008 A parameterization method for the computation of invariant tori and their whiskers in quasi-periodic maps: explorations and mechanisms for the breakdown of hyperbolicity. Zbl 1210.37062 Haro, A.; de la Llave, R. 55 2007 Multiplicity results for interfaces of Ginzburg-Landau-Allen-Cahn equations in periodic media. Zbl 1152.35038 de la Llave, Rafael; Valdinoci, Enrico 27 2007 Ground states and critical points for generalized Frenkel-Kontorova models in \(\mathbb Z^d\). Zbl 1206.82026 de la Llave, Rafael; Valdinoci, Enrico 23 2007 The parameterization method for one-dimensional invariant manifolds of higher-dimensional parabolic fixed points. Zbl 1123.37011 Baldomá, Immaculada; Fontich, Ernest; de la Llave, Rafael; Martín, Pau 17 2007 Critical points inside the gaps of ground state laminations for some models in statistical mechanics. Zbl 1132.82010 de la Llave, Rafael; Valdinoci, Enrico 12 2007 A computer-assisted study of global dynamic transitions for a noninvertible system. Zbl 1185.37174 Adomaitis, Raymond A.; Kevrekidis, Ioannis G.; de la Llave, Rafael 7 2007 ...and 68 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,247 Authors 105 de la Llave, Rafael 41 Mireles-James, Jason D. 32 Valdinoci, Enrico 28 Lessard, Jean-Philippe 24 Haro, Àlex 22 Celletti, Alessandra 20 Calleja, Renato C. 20 Fontich, Ernest 20 Haller, George 16 Gidea, Marian 16 M-Seara, Tere 15 van den Berg, Jan Bouwe 14 Delshams, Amadeu 14 Meiss, James D. 13 Figueras, Jordi-Lluís 13 Martín, Pau 11 Capinski, Maciej J. 11 Dipierro, Serena 11 Gogolev, Andrey 11 Sadovskaya, Victoria 11 Villanueva, Jordi 10 Braides, Andrea 10 Gentile, Guido 10 Gimeno, Joan 10 Kaloshin, Vadim Yu. 10 Katok, Anatole 10 Koch, Hans-Friedrich 10 Luque, Alejandro 10 Zgliczyński, Piotr 9 Chierchia, Luigi 9 Guardia, Marcel 9 Kalinin, Boris 9 Paternain, Gabriel Pedro 9 Qin, Wenxin 9 Si, Wen 8 Bolotin, Sergeĭ Vladimirovich 8 Chae, Dongho 8 Cicalese, Marco 8 Falcolini, Corrado 8 He, Xiaolong 8 Rabinowitz, Paul Henry 8 Su, Xifeng 8 Wang, Yanan 7 Breden, Maxime 7 Damjanović, Danijela 7 Féjoz, Jacques 7 Jorba, Àngel 7 Li, Xuemei 7 Lieb, Elliott Hershel 7 Simó, Carles 7 Xu, Junxiang 6 Arioli, Gianni 6 Baldomá, Inmaculada 6 Bustamante, Adrián P. 6 Castelli, Roberto 6 Corsi, Livia 6 del-Castillo-Negrete, Diego 6 Guillarmou, Colin 6 Guzzo, Massimiliano 6 Krauskopf, Bernd 6 Lu, Kening 6 Morozov, Al’bert Dmitrievich 6 Morrison, Philip J. 6 Osinga, Hinke Maria 6 Peralta-Salas, Daniel 6 Pollicott, Mark 6 Si, Jianguo 6 Turaev, Dmitry V. 6 Wayne, Clarence Eugene 6 Wiggins, Stephen R. 5 Anderson, Rodney L. 5 Bach, Volker 5 Backes, Lucas H. 5 Biasco, Luca 5 Caffarelli, Luis Ángel 5 Cheng, Chong-Qing 5 Cheng, Hongyu 5 Cozzi, Matteo 5 Enciso, Alberto 5 Forni, Giovanni 5 Gameiro, Marcio F. 5 Huguet, Gemma 5 Kepley, Shane 5 Kim, Panki 5 Li, Yong 5 Mezić, Igor 5 Miao, Xueqing 5 Morozov, Kirill Evgen’evich 5 Novaga, Matteo 5 Obaya, Rafael 5 Panayotaros, Panayotis 5 Qiu, Hua 5 Rodriguez-Hertz, Federico 5 Ruf, Matthias 5 Sevryuk, Mikhail Borisovich 5 Sire, Yannick 5 Solovej, Jan Philip 5 Tompaidis, Stathis 5 Wang, Fenfen 5 Yan, Jun ...and 1,147 more Authors all top 5 Cited in 230 Serials 77 Journal of Differential Equations 66 Physica D 63 Communications in Mathematical Physics 45 SIAM Journal on Applied Dynamical Systems 40 Communications in Nonlinear Science and Numerical Simulation 38 Nonlinearity 38 Ergodic Theory and Dynamical Systems 36 Chaos 34 Discrete and Continuous Dynamical Systems 33 Regular and Chaotic Dynamics 31 Journal of Dynamics and Differential Equations 29 Journal of Nonlinear Science 26 Journal of Statistical Physics 21 Archive for Rational Mechanics and Analysis 19 Journal of Mathematical Physics 19 Celestial Mechanics and Dynamical Astronomy 17 Advances in Mathematics 15 Journal of Functional Analysis 15 Transactions of the American Mathematical Society 14 Mathematische Zeitschrift 12 Proceedings of the American Mathematical Society 12 Calculus of Variations and Partial Differential Equations 12 Qualitative Theory of Dynamical Systems 10 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 10 Annales Henri Poincaré 9 Israel Journal of Mathematics 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Chaos, Solitons and Fractals 8 Inventiones Mathematicae 8 Journal of Applied Analysis and Computation 8 Journal of Computational Dynamics 7 Communications on Pure and Applied Mathematics 7 Journal of Mathematical Analysis and Applications 7 Physics Letters. A 7 SIAM Journal on Mathematical Analysis 7 Bulletin of the American Mathematical Society. New Series 7 Indagationes Mathematicae. New Series 7 Experimental Mathematics 7 Nonlinear Dynamics 7 Annals of Mathematics. Second Series 7 Journal of Modern Dynamics 6 Duke Mathematical Journal 6 Mathematische Annalen 6 The Journal of Geometric Analysis 6 Geometric and Functional Analysis. GAFA 6 Discrete and Continuous Dynamical Systems. Series B 6 Science China. Mathematics 5 Memoirs of the American Mathematical Society 5 Interfaces and Free Boundaries 5 Foundations of Computational Mathematics 4 Journal of Computational Physics 4 Annales de l’Institut Fourier 4 Topology and its Applications 4 Communications in Partial Differential Equations 4 Journal of Mathematical Sciences (New York) 4 Journal of Difference Equations and Applications 4 Electronic Research Announcements of the American Mathematical Society 4 Journal of the European Mathematical Society (JEMS) 4 Physical Review Letters 4 Dynamical Systems 4 Communications on Pure and Applied Analysis 4 Advances in Difference Equations 4 Journal de l’École Polytechnique – Mathématiques 4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 3 Applicable Analysis 3 Journal d’Analyse Mathématique 3 Journal of Mathematical Biology 3 Acta Mathematica 3 Geometriae Dedicata 3 Journal of Computational and Applied Mathematics 3 Journal of Economic Dynamics & Control 3 Boletim da Sociedade Brasileira de Matemática. Nova Série 3 Journal of Knot Theory and its Ramifications 3 Bulletin des Sciences Mathématiques 3 Journal of Dynamical and Control Systems 3 Communications in Contemporary Mathematics 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Bulletin of the Brazilian Mathematical Society. New Series 3 Oberwolfach Reports 3 Proceedings of the Steklov Institute of Mathematics 3 Frontiers of Mathematics in China 3 Discrete and Continuous Dynamical Systems. Series S 3 Analysis & PDE 3 Journal of Function Spaces 2 Computers & Mathematics with Applications 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Fluid Mechanics 2 Mathematical Methods in the Applied Sciences 2 Physica A 2 Physics Reports 2 Reviews of Modern Physics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Mathematics of Computation 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Bulletin of the London Mathematical Society 2 Bulletin de la Société Mathématique de France 2 Commentarii Mathematici Helvetici 2 Publications Mathématiques 2 Journal of Approximation Theory ...and 130 more Serials all top 5 Cited in 52 Fields 788 Dynamical systems and ergodic theory (37-XX) 281 Mechanics of particles and systems (70-XX) 263 Partial differential equations (35-XX) 172 Ordinary differential equations (34-XX) 104 Numerical analysis (65-XX) 92 Differential geometry (53-XX) 87 Statistical mechanics, structure of matter (82-XX) 75 Fluid mechanics (76-XX) 59 Global analysis, analysis on manifolds (58-XX) 56 Operator theory (47-XX) 50 Calculus of variations and optimal control; optimization (49-XX) 46 Quantum theory (81-XX) 43 Manifolds and cell complexes (57-XX) 37 Probability theory and stochastic processes (60-XX) 31 Biology and other natural sciences (92-XX) 22 Functional analysis (46-XX) 22 Mechanics of deformable solids (74-XX) 18 Real functions (26-XX) 17 Computer science (68-XX) 14 Topological groups, Lie groups (22-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 13 General topology (54-XX) 10 Functions of a complex variable (30-XX) 9 Difference and functional equations (39-XX) 8 Convex and discrete geometry (52-XX) 7 General and overarching topics; collections (00-XX) 7 Measure and integration (28-XX) 7 Geophysics (86-XX) 7 Systems theory; control (93-XX) 6 Several complex variables and analytic spaces (32-XX) 6 Optics, electromagnetic theory (78-XX) 5 Number theory (11-XX) 5 Potential theory (31-XX) 5 Approximations and expansions (41-XX) 4 Algebraic geometry (14-XX) 4 Integral equations (45-XX) 4 Algebraic topology (55-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Geometry (51-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Group theory and generalizations (20-XX) 2 Integral transforms, operational calculus (44-XX) 2 Statistics (62-XX) 2 Relativity and gravitational theory (83-XX) 2 Astronomy and astrophysics (85-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Combinatorics (05-XX) 1 Sequences, series, summability (40-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.