## Lessard, Jean-Philippe

Compute Distance To:
 Author ID: lessard.jean-philippe Published as: Lessard, Jean-Philippe; Lessard, J. P.
 Documents Indexed: 59 Publications since 2007 1 Contribution as Editor Co-Authors: 43 Co-Authors with 56 Joint Publications 553 Co-Co-Authors
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### Co-Authors

 4 single-authored 16 Mireles-James, Jason D. 12 van den Berg, Jan Bouwe 10 Gameiro, Marcio F. 6 Breden, Maxime 6 Castelli, Roberto 5 Mischaikow, Konstantin 4 García-Azpeitia, Carlos 3 Jaquette, Jonathan 2 Calleja, Renato C. 2 Kiss, Gabor 2 Pugliese, Alessandro 2 Reinhardt, Christian 2 Takayasu, Akitoshi 1 Alama, Yvonne Bronsard 1 Balázs, István 1 Burgos-García, Jaime 1 Choksi, Rustum 1 Church, Kevin E. M. 1 Constantineau, Kevin 1 Correc, Anaïs 1 Courtois, Julien 1 D’Ambrosio, Lorenzo 1 Day, Sarah L. 1 de la Llave, Rafael 1 Deschênes, Andréa 1 Desvillettes, Laurent 1 Duchesne, Gabriel William 1 Dudás, János 1 Figueras, Jordi-Lluís 1 Groothedde, Chris 1 Hénot, Olivier 1 Hungria, Allan 1 Martine-La Boissonière, Gabriel 1 Murray, Maxime 1 Queirolo, Elena 1 Ransford, Julian 1 Ricaud, Yann 1 Sander, Evelyn 1 van Veen, Lennaert 1 Vanicat, Matthieu 1 Vörös-Kiss, Anett 1 Wanner, Thomas 1 Yin, Xi Yuan
all top 5

### Serials

 8 SIAM Journal on Applied Dynamical Systems 6 Journal of Dynamics and Differential Equations 5 Journal of Differential Equations 4 Journal of Computational Dynamics 3 SIAM Journal on Numerical Analysis 2 Nonlinearity 2 Mathematics of Computation 2 Journal of Computational and Applied Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Physica D 2 Applications of Mathematics 2 SIAM Journal on Mathematical Analysis 2 Celestial Mechanics and Dynamical Astronomy 2 Indagationes Mathematicae. New Series 1 Archive for Rational Mechanics and Analysis 1 Advances in Mathematics 1 Mathematics and Computers in Simulation 1 Numerische Mathematik 1 Acta Applicandae Mathematicae 1 European Journal of Applied Mathematics 1 Notices of the American Mathematical Society 1 Journal of Nonlinear Science 1 Discrete and Continuous Dynamical Systems 1 Communications in Nonlinear Science and Numerical Simulation 1 Qualitative Theory of Dynamical Systems 1 Foundations of Computational Mathematics 1 Discrete and Continuous Dynamical Systems. Series B 1 Proceedings of Symposia in Applied Mathematics
all top 5

### Fields

 41 Numerical analysis (65-XX) 26 Partial differential equations (35-XX) 25 Dynamical systems and ergodic theory (37-XX) 24 Ordinary differential equations (34-XX) 9 Operator theory (47-XX) 5 Mechanics of particles and systems (70-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

48 Publications have been cited 830 times in 201 Documents Cited by Year
Validated continuation for equilibria of PDEs. Zbl 1151.65074
Day, Sarah; Lessard, Jean-Philippe; Mischaikow, Konstantin
2007
Rigorous numerics for symmetric connecting orbits: even homoclinics of the Gray-Scott equation. Zbl 1231.34081
van den Berg, Jan Bouwe; Mireles-James, Jason D.; Lessard, Jean-Philippe; Mischaikow, Konstantin
2011
Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach. Zbl 1332.65114
Hungria, Allan; Lessard, Jean-Philippe; Mireles James, J. D.
2016
Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs. Zbl 1256.35196
Gameiro, Marcio; Lessard, Jean-Philippe
2010
Rigorous numerics in dynamics. Zbl 1338.68301
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
2015
Global smooth solution curves using rigorous branch following. Zbl 1206.37045
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Mischaikow, Konstantin
2010
Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright’s equation. Zbl 1200.34078
Lessard, Jean-Philippe
2010
Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields. Zbl 1351.37107
Lessard, Jean-Philippe; Mireles James, Jason D.; Reinhardt, Christian
2014
Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system. Zbl 1277.65088
Breden, Maxime; Lessard, Jean-Philippe; Vanicat, Matthieu
2013
Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036
van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D.
2015
Rigorous numerics for nonlinear differential equations using Chebyshev series. Zbl 1290.65060
Lessard, Jean-Philippe; Reinhardt, Christian
2014
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
2008
Parameterization of invariant manifolds for periodic orbits. I: Efficient numerics via the Floquet normal form. Zbl 1376.37057
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, J. D.
2015
Computation of maximal local (un)stable manifold patches by the parameterization method. Zbl 1336.65197
Breden, Maxime; Lessard, Jean-Philippe; Mireles James, Jason D.
2016
Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation. Zbl 1216.65145
Gameiro, Marcio; Lessard, Jean-Philippe
2011
Validated continuation over large parameter ranges for equilibria of PDEs. Zbl 1166.65379
Gameiro, Marcio; Lessard, Jean-Philippe; Mischaikow, Konstantin
2008
Computational fixed-point theory for differential delay equations with multiple time lags. Zbl 1247.34119
Kiss, Gábor; Lessard, Jean-Philippe
2012
Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation. Zbl 1390.35262
Castelli, Roberto; Gameiro, Marcio; Lessard, Jean-Philippe
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
2017
Efficient rigorous numerics for higher-dimensional PDEs via one-dimensional estimates. Zbl 1277.65084
Gameiro, Marcio; Lessard, Jean-Philippe
2013
A posteriori verification of invariant objects of evolution equations: periodic orbits in the Kuramoto-Sivashinsky PDE. Zbl 1365.35222
Gameiro, Marcio; Lessard, Jean-Philippe
2017
Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits. Zbl 1293.37033
Castelli, Roberto; Lessard, Jean-Philippe
2013
A method to rigorously enclose eigenpairs of complex interval matrices. Zbl 1340.65057
Castelli, Roberto; Lessard, Jean-Philippe
2013
Automatic differentiation for Fourier series and the radii polynomial approach. Zbl 1418.34094
Lessard, Jean-Philippe; Mireles James, J. D.; Ransford, Julian
2016
Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof. Zbl 1405.34037
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; Murray, Maxime
2018
Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions. Zbl 1347.65102
Gameiro, Marcio; Lessard, Jean-Philippe; Pugliese, Alessandro
2016
Stability and uniqueness of slowly oscillating periodic solutions to Wright’s equation. Zbl 1382.34069
Jaquette, Jonathan; Lessard, Jean-Philippe; Mischaikow, Konstantin
2017
Computer assisted Fourier analysis in sequence spaces of varying regularity. Zbl 1362.42007
Lessard, Jean-Philippe; Mireles James, J. D.
2017
Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: a computer-assisted proof. Zbl 1384.34030
Correc, Anaïs; Lessard, Jean-Philippe
2015
Rapidly and slowly oscillating periodic solutions of a delayed van der Pol oscillator. Zbl 1421.65016
Kiss, Gabor; Lessard, Jean-Philippe
2017
Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan
2018
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
2017
Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds. Zbl 1419.37020
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D.
2018
Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence. Zbl 1448.70024
Burgos-García, Jaime; Lessard, Jean-Philippe; James, J. D. Mireles
2019
Blow-up profile for solutions of a fourth order nonlinear equation. Zbl 1325.34045
D’Ambrosio, Lorenzo; Lessard, Jean-Philippe; Pugliese, Alessandro
2015
Rigorous numerics for piecewise-smooth systems: a functional analytic approach based on Chebyshev series. Zbl 1323.65123
Gameiro, Marcio; Lessard, Jean-Philippe; Ricaud, Yann
2016
Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs. Zbl 1398.65092
Breden, Maxime; Lessard, Jean-Philippe
2018
Continuation of solutions and studying delay differential equations via rigorous numerics. Zbl 1408.65101
Lessard, Jean-Philippe
2018
Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 1475.35247
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert
2021
Rigorous verification of saddle-node bifurcations in ODEs. Zbl 1351.34045
Lessard, Jean-Philippe
2016
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
2020
Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena
2021
Analytic enclosure of the fundamental matrix solution. Zbl 1363.65115
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D.
2015
Computing discrete convolutions with verified accuracy via Banach algebras and the FFT. Zbl 06945730
Lessard, Jean-Philippe
2018
Torus knot choreographies in the $$n$$-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
2021
Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114
Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime
2015
Existence of secondary bifurcations or isolas for PDEs. Zbl 1221.35052
Gameiro, Marcio; Lessard, Jean-Philippe
2011
Rigorous numerics in dynamics. AMS short course, Seattle, WA, USA, January 4–5, 2016. Lecture notes. Zbl 1396.37003
2018
Spontaneous periodic orbits in the Navier-Stokes flow. Zbl 1475.35247
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; van Veen, Lennaert
2021
Rigorous verification of Hopf bifurcations via desingularization and continuation. Zbl 1476.37094
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Queirolo, Elena
2021
Torus knot choreographies in the $$n$$-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
2021
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
2020
Spatial periodic orbits in the equilateral circular restricted four-body problem: computer-assisted proofs of existence. Zbl 1448.70024
Burgos-García, Jaime; Lessard, Jean-Philippe; James, J. D. Mireles
2019
Rigorous numerics for ill-posed PDEs: periodic orbits in the Boussinesq equation. Zbl 1390.35262
Castelli, Roberto; Gameiro, Marcio; Lessard, Jean-Philippe
2018
Continuation of homoclinic orbits in the suspension bridge equation: a computer-assisted proof. Zbl 1405.34037
van den Berg, Jan Bouwe; Breden, Maxime; Lessard, Jean-Philippe; Murray, Maxime
2018
Computer-assisted proofs for radially symmetric solutions of PDEs. Zbl 1409.35017
Balázs, István; van den Berg, Jan Bouwe; Courtois, Julien; Dudás, János; Lessard, Jean-Philippe; Vörös-Kiss, Anett; Williams, J. F.; Yin, Xi Yuan
2018
Parameterization of invariant manifolds for periodic orbits. II: A posteriori analysis and computer assisted error bounds. Zbl 1419.37020
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D.
2018
Polynomial interpolation and a priori bootstrap for computer-assisted proofs in nonlinear ODEs. Zbl 1398.65092
Breden, Maxime; Lessard, Jean-Philippe
2018
Continuation of solutions and studying delay differential equations via rigorous numerics. Zbl 1408.65101
Lessard, Jean-Philippe
2018
Computing discrete convolutions with verified accuracy via Banach algebras and the FFT. Zbl 06945730
Lessard, Jean-Philippe
2018
Rigorous numerics in dynamics. AMS short course, Seattle, WA, USA, January 4–5, 2016. Lecture notes. Zbl 1396.37003
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
2017
A posteriori verification of invariant objects of evolution equations: periodic orbits in the Kuramoto-Sivashinsky PDE. Zbl 1365.35222
Gameiro, Marcio; Lessard, Jean-Philippe
2017
Stability and uniqueness of slowly oscillating periodic solutions to Wright’s equation. Zbl 1382.34069
Jaquette, Jonathan; Lessard, Jean-Philippe; Mischaikow, Konstantin
2017
Computer assisted Fourier analysis in sequence spaces of varying regularity. Zbl 1362.42007
Lessard, Jean-Philippe; Mireles James, J. D.
2017
Rapidly and slowly oscillating periodic solutions of a delayed van der Pol oscillator. Zbl 1421.65016
Kiss, Gabor; Lessard, Jean-Philippe
2017
Rigorous continuation of bifurcation points in the diblock copolymer equation. Zbl 1404.35030
Lessard, Jean-Philippe; Sander, Evelyn; Wanner, Thomas
2017
Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach. Zbl 1332.65114
Hungria, Allan; Lessard, Jean-Philippe; Mireles James, J. D.
2016
Computation of maximal local (un)stable manifold patches by the parameterization method. Zbl 1336.65197
Breden, Maxime; Lessard, Jean-Philippe; Mireles James, Jason D.
2016
Automatic differentiation for Fourier series and the radii polynomial approach. Zbl 1418.34094
Lessard, Jean-Philippe; Mireles James, J. D.; Ransford, Julian
2016
Computation of smooth manifolds via rigorous multi-parameter continuation in infinite dimensions. Zbl 1347.65102
Gameiro, Marcio; Lessard, Jean-Philippe; Pugliese, Alessandro
2016
Rigorous numerics for piecewise-smooth systems: a functional analytic approach based on Chebyshev series. Zbl 1323.65123
Gameiro, Marcio; Lessard, Jean-Philippe; Ricaud, Yann
2016
Rigorous verification of saddle-node bifurcations in ODEs. Zbl 1351.34045
Lessard, Jean-Philippe
2016
Rigorous numerics in dynamics. Zbl 1338.68301
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
2015
Stationary coexistence of hexagons and rolls via rigorous computations. Zbl 1371.37036
van den Berg, Jan Bouwe; Deschênes, Andréa; Lessard, Jean-Philippe; Mireles James, Jason D.
2015
Parameterization of invariant manifolds for periodic orbits. I: Efficient numerics via the Floquet normal form. Zbl 1376.37057
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, J. D.
2015
Coexistence of nontrivial solutions of the one-dimensional Ginzburg-Landau equation: a computer-assisted proof. Zbl 1384.34030
Correc, Anaïs; Lessard, Jean-Philippe
2015
Blow-up profile for solutions of a fourth order nonlinear equation. Zbl 1325.34045
D&rsquo;Ambrosio, Lorenzo; Lessard, Jean-Philippe; Pugliese, Alessandro
2015
Analytic enclosure of the fundamental matrix solution. Zbl 1363.65115
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D.
2015
Rigorous numerics for nonlinear operators with tridiagonal dominant linear part. Zbl 1337.47114
Lessard, Jean-Philippe; Desvillettes, Laurent; Breden, Maxime
2015
Computer assisted proof of transverse saddle-to-saddle connecting orbits for first order vector fields. Zbl 1351.37107
Lessard, Jean-Philippe; Mireles James, Jason D.; Reinhardt, Christian
2014
Rigorous numerics for nonlinear differential equations using Chebyshev series. Zbl 1290.65060
Lessard, Jean-Philippe; Reinhardt, Christian
2014
Global bifurcation diagrams of steady states of systems of PDEs via rigorous numerics: a 3-component reaction-diffusion system. Zbl 1277.65088
Breden, Maxime; Lessard, Jean-Philippe; Vanicat, Matthieu
2013
Efficient rigorous numerics for higher-dimensional PDEs via one-dimensional estimates. Zbl 1277.65084
Gameiro, Marcio; Lessard, Jean-Philippe
2013
Rigorous numerics in Floquet theory: computing stable and unstable bundles of periodic orbits. Zbl 1293.37033
Castelli, Roberto; Lessard, Jean-Philippe
2013
A method to rigorously enclose eigenpairs of complex interval matrices. Zbl 1340.65057
Castelli, Roberto; Lessard, Jean-Philippe
2013
Computational fixed-point theory for differential delay equations with multiple time lags. Zbl 1247.34119
Kiss, Gábor; Lessard, Jean-Philippe
2012
Rigorous numerics for symmetric connecting orbits: even homoclinics of the Gray-Scott equation. Zbl 1231.34081
van den Berg, Jan Bouwe; Mireles-James, Jason D.; Lessard, Jean-Philippe; Mischaikow, Konstantin
2011
Rigorous computation of smooth branches of equilibria for the three dimensional Cahn-Hilliard equation. Zbl 1216.65145
Gameiro, Marcio; Lessard, Jean-Philippe
2011
Existence of secondary bifurcations or isolas for PDEs. Zbl 1221.35052
Gameiro, Marcio; Lessard, Jean-Philippe
2011
Analytic estimates and rigorous continuation for equilibria of higher-dimensional PDEs. Zbl 1256.35196
Gameiro, Marcio; Lessard, Jean-Philippe
2010
Global smooth solution curves using rigorous branch following. Zbl 1206.37045
van den Berg, Jan Bouwe; Lessard, Jean-Philippe; Mischaikow, Konstantin
2010
Recent advances about the uniqueness of the slowly oscillating periodic solutions of Wright’s equation. Zbl 1200.34078
Lessard, Jean-Philippe
2010
Chaotic braided solutions via rigorous numerics: chaos in the Swift-Hohenberg equation. Zbl 1408.37062
van den Berg, Jan Bouwe; Lessard, Jean-Philippe
2008
Validated continuation over large parameter ranges for equilibria of PDEs. Zbl 1166.65379
Gameiro, Marcio; Lessard, Jean-Philippe; Mischaikow, Konstantin
2008
Validated continuation for equilibria of PDEs. Zbl 1151.65074
Day, Sarah; Lessard, Jean-Philippe; Mischaikow, Konstantin
2007
all top 5

### Cited by 223 Authors

 47 Lessard, Jean-Philippe 35 Mireles-James, Jason D. 20 van den Berg, Jan Bouwe 11 Breden, Maxime 9 de la Llave, Rafael 9 Gameiro, Marcio F. 8 Castelli, Roberto 7 Wanner, Thomas 6 Arioli, Gianni 6 Capinski, Maciej J. 6 Zgliczyński, Piotr 5 Church, Kevin E. M. 5 Jaquette, Jonathan 5 Kepley, Shane 5 Koch, Hans-Friedrich 5 Mischaikow, Konstantin 5 Nakao, Mitsuhiro T. 5 Oishi, Shin’ichi 5 Takayasu, Akitoshi 4 García-Azpeitia, Carlos 4 Kühn, Christian 3 Calleja, Renato C. 3 Cyranka, Jacek 3 Gimeno, Joan 3 Hénot, Olivier 3 Matsue, Kaname 3 Murray, Maxime 3 Pugliese, Alessandro 3 Queirolo, Elena 3 Reinhardt, Christian 3 Sander, Evelyn 3 Tanaka, Kazuaki 2 Barabash, Nikita V. 2 Belykh, Igor V. 2 Belykh, Vladimir Nikitich 2 Blömker, Dirk 2 Burgos-García, Jaime 2 de Wolff, B. A. J. 2 Duchesne, Gabriel William 2 Figueras, Jordi-Lluís 2 Fleurantin, Emmanuel 2 Groothedde, C. M. 2 Hetebrij, Wouter 2 Huguet, Gemma 2 Kalies, William D. 2 Kinoshita, Takehiko 2 Kiss, Gabor 2 Krisztin, Tibor 2 Mizuguchi, Makoto 2 Nizhnik, Irina L. 2 Nolde, Christian 2 Pérez-Cervera, Alberto 2 Plum, Michael 2 Röst, Gergely 2 Samoĭlenko, Anatoliĭ Mykhaĭlovych 2 M-Seara, Tere 2 Sheombarsing, Ray 2 Soresina, Cinzia 2 Wilczak, Daniel 2 Yang, Jiaqi 1 Adams, Ronald L. 1 Alama, Yvonne Bronsard 1 Asai, Taisei 1 Baker, Ruth Elizabeth 1 Balasuriya, Sanjeeva 1 Balázs, István 1 Bánhelyi, Balázs 1 Barker, Blake 1 Barrio, Roberto 1 Bartha, Ferenc Ágoston 1 Beck, Margaret 1 Bengochea, Abimael 1 Beran, Zdeněk 1 Bi, Qinsheng 1 Birrell, Jeremiah 1 Bodnar, Marek 1 Bose, Amitabha 1 Bouteraa, M. 1 Braun, Julian 1 Bréhard, Florent 1 Breunung, Thomas 1 Caracciolo, Chiara 1 Carrillo de la Plata, José Antonio 1 Chainais-Hillairet, Claire 1 Cheng, Hongyu 1 Choi, Yuncherl 1 Chowdhury, Atiqur 1 Colombo, Alessandro G. 1 Constantineau, Kevin 1 Coomes, Brian A. 1 Correc, Anaïs 1 Courtois, Julien 1 Csendes, Tibor 1 Czechowski, Aleksander 1 D’Ambrosio, Lorenzo 1 Day, Sarah L. 1 Del Buono, Nicoletta 1 del-Castillo-Negrete, Diego 1 Deng, Shengfu 1 Deschênes, Andréa ...and 123 more Authors
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### Cited in 59 Serials

 27 SIAM Journal on Applied Dynamical Systems 23 Journal of Differential Equations 12 Journal of Computational Dynamics 10 Journal of Dynamics and Differential Equations 10 Communications in Nonlinear Science and Numerical Simulation 6 Physica D 6 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 5 Nonlinearity 5 Journal of Computational and Applied Mathematics 5 Celestial Mechanics and Dynamical Astronomy 5 Indagationes Mathematicae. New Series 5 Journal of Nonlinear Science 5 Discrete and Continuous Dynamical Systems. Series B 4 SIAM Journal on Mathematical Analysis 4 Discrete and Continuous Dynamical Systems 3 Applied Mathematics and Computation 3 Chaos 3 Qualitative Theory of Dynamical Systems 3 Foundations of Computational Mathematics 2 Archive for Rational Mechanics and Analysis 2 Journal of Mathematical Analysis and Applications 2 Mathematics of Computation 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Numerical Functional Analysis and Optimization 2 Numerische Mathematik 2 Acta Applicandae Mathematicae 2 Japan Journal of Industrial and Applied Mathematics 2 Numerical Algorithms 2 Journal of Mathematical Fluid Mechanics 2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 SN Partial Differential Equations and Applications 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Mathematical Notes 1 Physica A 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Annales Polonici Mathematici 1 Kybernetika 1 Mathematics and Computers in Simulation 1 SIAM Journal on Numerical Analysis 1 Journal of Scientific Computing 1 Sugaku Expositions 1 European Journal of Applied Mathematics 1 Applications of Mathematics 1 Journal of Global Optimization 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Mathematical Population Studies 1 Nonlinear Dynamics 1 Differential Equations 1 Journal of the Indonesian Mathematical Society 1 Oberwolfach Reports 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 S$$\vec{\text{e}}$$MA Journal 1 Journal of Applied Analysis and Computation
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### Cited in 26 Fields

 99 Numerical analysis (65-XX) 93 Dynamical systems and ergodic theory (37-XX) 82 Ordinary differential equations (34-XX) 71 Partial differential equations (35-XX) 19 Mechanics of particles and systems (70-XX) 17 Operator theory (47-XX) 15 Biology and other natural sciences (92-XX) 8 Computer science (68-XX) 8 Mechanics of deformable solids (74-XX) 6 Fluid mechanics (76-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Probability theory and stochastic processes (60-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Algebraic topology (55-XX) 2 Systems theory; control (93-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)