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Mireles-James, Jason D.

Author ID: mireles-james.jason-d Recent zbMATH articles by "Mireles-James, Jason D."
Published as: Mireles James, J. D.; Mireles James, Jason D.; James, J. D. Mireles; James, Jason D. Mireles; Mireles-James, Jason D.; Mireles-James, J. D.
External Links: MGP · ORCID · dblp

Publications by Year

Citations contained in zbMATH Open

45 Publications have been cited 656 times in 200 Documents Cited by Year
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
48
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.
47
2016
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.
38
2015
Computing (un)stable manifolds with validated error bounds: non-resonant and resonant spectra. Zbl 1360.37176
van den Berg, Jan Bouwe; Mireles James, Jason D.; Reinhardt, Christian
38
2016
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
37
2014
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.
37
2015
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
33
2013
Computation of maximal local (un)stable manifold patches by the parameterization method. Zbl 1336.65197
Breden, Maxime; Lessard, Jean-Philippe; Mireles James, Jason D.
27
2016
Automatic differentiation for Fourier series and the radii polynomial approach. Zbl 1418.34094
Lessard, Jean-Philippe; Mireles James, J. D.; Ransford, Julian
27
2016
Polynomial approximation of one parameter families of (un)stable manifolds with rigorous computer assisted error bounds. Zbl 1359.37063
Mireles James, J. D.
24
2015
Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations. Zbl 1277.37035
Mireles James, J. D.
19
2013
Computation of heteroclinic arcs with application to the volume preserving Hénon family. Zbl 1207.37014
Mireles James, J. D.; Lomelí, Hector
18
2010
Parameterization of slow-stable manifolds and their invariant vector bundles: theory and numerical implementation. Zbl 1366.37070
van den Berg, J. B.; Mireles James, J. D.
17
2016
Fourier-Taylor parameterization of unstable manifolds for parabolic partial differential equations: formalism, implementation and rigorous validation. Zbl 1419.35131
Reinhardt, Christian; Mireles James, J. D.
17
2019
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
16
2017
Chaotic motions in the restricted four body problem via Devaney’s saddle-focus homoclinic tangle theorem. Zbl 1422.37062
Kepley, Shane; Mireles James, J. D.
16
2019
Analytic continuation of local (un)stable manifolds with rigorous computer assisted error bounds. Zbl 1409.65110
Kalies, William D.; Kepley, Shane; Mireles James, J. D.
15
2018
Computer assisted Fourier analysis in sequence spaces of varying regularity. Zbl 1362.42007
Lessard, Jean-Philippe; Mireles James, J. D.
15
2017
Validated numerics for equilibria of analytic vector fields: invariant manifolds and connecting orbits. Zbl 1409.65109
James, J. D. Mireles
15
2018
Chebyshev-Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications. Zbl 1382.34053
Mireles James, J. D.; Murray, Maxime
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
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
12
2019
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.
12
2018
Connecting orbits for compact infinite dimensional maps: computer assisted proofs of existence. Zbl 1343.37078
de la Llave, R.; Mireles James, J. D.
11
2016
High-order parameterization of stable/unstable manifolds for long periodic orbits of maps. Zbl 1378.37057
Gonzalez, J. L.; Mireles James, J. D.
10
2017
Validated computation of heteroclinic sets. Zbl 1418.37125
Capiński, Maciej J.; Mireles James, J. D.
9
2017
Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits. Zbl 1329.37081
Mireles James, J. D.
9
2015
Fourier-Taylor approximation of unstable manifolds for compact maps: numerical implementation and computer-assisted error bounds. Zbl 1383.37066
Mireles-James, J. D.
8
2017
Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set. Zbl 1451.70033
Kepley, Shane; Mireles James, J. D.
7
2019
Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation. Zbl 1453.34020
Fleurantin, Emmanuel; James, J. D. Mireles
7
2020
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
6
2020
Computer assisted proofs of two-dimensional attracting invariant tori for ODEs. Zbl 1459.37079
Capiński, Maciej J.; Fleurantin, Emmanuel; Mireles James, J. D.
5
2020
Parameterization of unstable manifolds for DDEs: formal series solutions and validated error bounds. Zbl 1497.34102
Hénot, Olivier; Lessard, Jean-Philippe; Mireles James, J. D.
5
2022
Analytic enclosure of the fundamental matrix solution. Zbl 1363.65115
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D.
4
2015
A rigorous implicit \(C^1\) Chebyshev integrator for delay equations. Zbl 1498.65111
Lessard, Jean-Philippe; James, J. D. Mireles
3
2021
Torus knot choreographies in the \(n\)-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
3
2021
Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem. Zbl 1520.37058
Capiński, Maciej J.; Kepley, Shane; Mireles James, J. D.
3
2023
Computer assisted proof of drift orbits along normally hyperbolic manifolds. Zbl 1485.37071
Capiński, Maciej J.; Gonzalez, Jorge; Marco, Jean-Pierre; Mireles James, Jason D.
3
2022
Finite element approximation of invariant manifolds by the parameterization method. Zbl 07619341
Gonzalez, Jorge; James, J. D. Mireles; Tuncer, Necibe
2
2022
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families. Zbl 1448.70054
Murray, Maxime; Mireles James, J. D.
2
2020
Adaptive set-oriented computation of topological horseshoe factors in area and volume preserving maps. Zbl 1201.65217
Mireles James, J. D.
1
2010
High-order parameterization of (un)stable manifolds for hybrid maps: implementation and applications. Zbl 1510.37114
Naudot, Vincent; Mireles James, J. D.; Lu, Qiuying
1
2017
Persistence of periodic orbits under state-dependent delayed perturbations: computer-assisted proofs. Zbl 1522.34094
Gimeno, Joan; Lessard, Jean-Philippe; Mireles James, J. D.; Yang, Jiaqi
1
2023
Validated numerics for continuation and bifurcation of connecting orbits of maps. Zbl 1418.37123
Adams, Ronald; Mireles James, J. D.
1
2019
Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems. Zbl 1504.37061
Timsina, Archana Neupane; Mireles James, J. D.
1
2022
Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem. Zbl 1520.37058
Capiński, Maciej J.; Kepley, Shane; Mireles James, J. D.
3
2023
Persistence of periodic orbits under state-dependent delayed perturbations: computer-assisted proofs. Zbl 1522.34094
Gimeno, Joan; Lessard, Jean-Philippe; Mireles James, J. D.; Yang, Jiaqi
1
2023
Parameterization of unstable manifolds for DDEs: formal series solutions and validated error bounds. Zbl 1497.34102
Hénot, Olivier; Lessard, Jean-Philippe; Mireles James, J. D.
5
2022
Computer assisted proof of drift orbits along normally hyperbolic manifolds. Zbl 1485.37071
Capiński, Maciej J.; Gonzalez, Jorge; Marco, Jean-Pierre; Mireles James, Jason D.
3
2022
Finite element approximation of invariant manifolds by the parameterization method. Zbl 07619341
Gonzalez, Jorge; James, J. D. Mireles; Tuncer, Necibe
2
2022
Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems. Zbl 1504.37061
Timsina, Archana Neupane; Mireles James, J. D.
1
2022
A rigorous implicit \(C^1\) Chebyshev integrator for delay equations. Zbl 1498.65111
Lessard, Jean-Philippe; James, J. D. Mireles
3
2021
Torus knot choreographies in the \(n\)-body problem. Zbl 1476.70035
Calleja, Renato; García-Azpeitia, Carlos; Lessard, Jean-Philippe; Mireles James, J. D.
3
2021
Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation. Zbl 1453.34020
Fleurantin, Emmanuel; James, J. D. Mireles
7
2020
A functional analytic approach to validated numerics for eigenvalues of delay equations. Zbl 07235863
Lessard, J. P.; Mireles James, J. D.
6
2020
Computer assisted proofs of two-dimensional attracting invariant tori for ODEs. Zbl 1459.37079
Capiński, Maciej J.; Fleurantin, Emmanuel; Mireles James, J. D.
5
2020
Homoclinic dynamics in a spatial restricted four-body problem: blue skies into Smale horseshoes for vertical Lyapunov families. Zbl 1448.70054
Murray, Maxime; Mireles James, J. D.
2
2020
Fourier-Taylor parameterization of unstable manifolds for parabolic partial differential equations: formalism, implementation and rigorous validation. Zbl 1419.35131
Reinhardt, Christian; Mireles James, J. D.
17
2019
Chaotic motions in the restricted four body problem via Devaney’s saddle-focus homoclinic tangle theorem. Zbl 1422.37062
Kepley, Shane; Mireles James, J. D.
16
2019
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
12
2019
Homoclinic dynamics in a restricted four-body problem: transverse connections for the saddle-focus equilibrium solution set. Zbl 1451.70033
Kepley, Shane; Mireles James, J. D.
7
2019
Validated numerics for continuation and bifurcation of connecting orbits of maps. Zbl 1418.37123
Adams, Ronald; Mireles James, J. D.
1
2019
Analytic continuation of local (un)stable manifolds with rigorous computer assisted error bounds. Zbl 1409.65110
Kalies, William D.; Kepley, Shane; Mireles James, J. D.
15
2018
Validated numerics for equilibria of analytic vector fields: invariant manifolds and connecting orbits. Zbl 1409.65109
James, J. D. Mireles
15
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.
12
2018
Parameterization method for unstable manifolds of delay differential equations. Zbl 1397.34123
Groothedde, C. M.; Mireles James, J. D.
16
2017
Computer assisted Fourier analysis in sequence spaces of varying regularity. Zbl 1362.42007
Lessard, Jean-Philippe; Mireles James, J. D.
15
2017
Chebyshev-Taylor parameterization of stable/unstable manifolds for periodic orbits: implementation and applications. Zbl 1382.34053
Mireles James, J. D.; Murray, Maxime
13
2017
High-order parameterization of stable/unstable manifolds for long periodic orbits of maps. Zbl 1378.37057
Gonzalez, J. L.; Mireles James, J. D.
10
2017
Validated computation of heteroclinic sets. Zbl 1418.37125
Capiński, Maciej J.; Mireles James, J. D.
9
2017
Fourier-Taylor approximation of unstable manifolds for compact maps: numerical implementation and computer-assisted error bounds. Zbl 1383.37066
Mireles-James, J. D.
8
2017
High-order parameterization of (un)stable manifolds for hybrid maps: implementation and applications. Zbl 1510.37114
Naudot, Vincent; Mireles James, J. D.; Lu, Qiuying
1
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.
47
2016
Computing (un)stable manifolds with validated error bounds: non-resonant and resonant spectra. Zbl 1360.37176
van den Berg, Jan Bouwe; Mireles James, Jason D.; Reinhardt, Christian
38
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.
27
2016
Automatic differentiation for Fourier series and the radii polynomial approach. Zbl 1418.34094
Lessard, Jean-Philippe; Mireles James, J. D.; Ransford, Julian
27
2016
Parameterization of slow-stable manifolds and their invariant vector bundles: theory and numerical implementation. Zbl 1366.37070
van den Berg, J. B.; Mireles James, J. D.
17
2016
Connecting orbits for compact infinite dimensional maps: computer assisted proofs of existence. Zbl 1343.37078
de la Llave, R.; Mireles James, J. D.
11
2016
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.
38
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.
37
2015
Polynomial approximation of one parameter families of (un)stable manifolds with rigorous computer assisted error bounds. Zbl 1359.37063
Mireles James, J. D.
24
2015
Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits. Zbl 1329.37081
Mireles James, J. D.
9
2015
Analytic enclosure of the fundamental matrix solution. Zbl 1363.65115
Castelli, Roberto; Lessard, Jean-Philippe; Mireles James, Jason D.
4
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
37
2014
Rigorous a posteriori computation of (un)stable manifolds and connecting orbits for analytic maps. Zbl 1330.37029
Mireles James, J. D.; Mischaikow, Konstantin
33
2013
Quadratic volume-preserving maps: (Un)stable manifolds, hyperbolic dynamics, and vortex-bubble bifurcations. Zbl 1277.37035
Mireles James, J. D.
19
2013
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
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
48
2011
Computation of heteroclinic arcs with application to the volume preserving Hénon family. Zbl 1207.37014
Mireles James, J. D.; Lomelí, Hector
18
2010
Adaptive set-oriented computation of topological horseshoe factors in area and volume preserving maps. Zbl 1201.65217
Mireles James, J. D.
1
2010
all top 5

Cited by 249 Authors

44 Lessard, Jean-Philippe
44 Mireles-James, Jason D.
19 van den Berg, Jan Bouwe
11 de la Llave, Rafael
9 Breden, Maxime
9 Capinski, Maciej J.
8 Castelli, Roberto
8 Jaquette, Jonathan
6 Church, Kevin E. M.
6 Gameiro, Marcio F.
6 Hénot, Olivier
6 Kepley, Shane
5 Takayasu, Akitoshi
4 Borisov, Alekseĭ Vladimirovich
4 García-Azpeitia, Carlos
4 Murray, Maxime
4 Zgliczyński, Piotr
3 Burgos-García, Jaime
3 Calleja, Renato C.
3 Fleurantin, Emmanuel
3 Gidea, Marian
3 Gimeno, Joan
3 Kalies, William D.
3 Kühn, Christian
3 Mamaev, Ivan Sergeevich
3 Matsue, Kaname
3 Queirolo, Elena
3 Reinhardt, Christian
3 Rodrigues, Alexandre A. P.
3 M-Seara, Tere
3 Wanner, Thomas
3 Yang, Jiaqi
2 Anastassiou, Stavros
2 Bäcker, Arnd
2 Barker, Blake
2 Beck, Margaret
2 Bréhard, Florent
2 Cyranka, Jacek
2 Duchesne, Gabriel William
2 Figueras, Jordi-Lluís
2 González, Jorge A.
2 Groothedde, C. M.
2 He, Xiaolong
2 Hetebrij, Wouter
2 Huguet, Gemma
2 Jiang, Shunjun
2 Kazakov, Alexey O.
2 Kilin, Aleksandr Aleksandrovich
2 Kinoshita, Takehiko
2 Koch, Hans-Friedrich
2 Lizarraga, Ian
2 Marco, Jean-Pierre
2 Mitchell, Kevin A.
2 Nakao, Mitsuhiro T.
2 Naudot, Vincent
2 Ollé, Mercè
2 Pérez-Cervera, Alberto
2 Rink, Bob W.
2 Rodríguez, Oscar Córdoba
2 Sheombarsing, Ray
2 Si, Wen
2 Vandervorst, Robertus C. A. M.
2 Watanabe, Yoshitaka
2 Wechselberger, Martin
2 Wilczak, Daniel
2 Xu, Junxiang
1 Abad, Alberto J.
1 Adams, Ronald L.
1 Alama, Yvonne Bronsard
1 Alvarez-Ramírez, Martha
1 Anderson, Rodney L.
1 Arenson, Joshua G.
1 Arioli, Gianni
1 Arribas, Mercedes
1 Arustamyan, Nickolas
1 Balasuriya, Sanjeeva
1 Balázs, István
1 Barabash, Nikita V.
1 Barcelona, Miquel
1 Barrabés, Esther
1 Barrio, Roberto
1 Belykh, Igor V.
1 Belykh, Vladimir Nikitich
1 Bengochea, Abimael
1 Birrell, Jeremiah
1 Bizyaev, Ivan Alekseevich
1 Blömker, Dirk
1 Bose, Amitabha
1 Bountis, Anastasios
1 Bountis, Tassos C.
1 Bouteraa, M.
1 Buza, Gergely
1 Casal, Alfonso Carlos
1 Castro, Luísa
1 Celletti, Alessandra
1 Cheng, Hongyu
1 Chirilus-Bruckner, Martina
1 Choi, Yuncherl
1 Choksi, Rustum
1 Constantineau, Kevin
...and 149 more Authors
all top 5

Cited in 54 Serials

31 SIAM Journal on Applied Dynamical Systems
21 Journal of Differential Equations
17 Communications in Nonlinear Science and Numerical Simulation
12 Journal of Dynamics and Differential Equations
9 Journal of Computational Dynamics
8 Nonlinearity
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7 Physica D
7 Celestial Mechanics and Dynamical Astronomy
6 Journal of Nonlinear Science
5 Discrete and Continuous Dynamical Systems
5 Chaos
4 Indagationes Mathematicae. New Series
4 Regular and Chaotic Dynamics
3 SIAM Journal on Mathematical Analysis
3 Qualitative Theory of Dynamical Systems
2 Chaos, Solitons and Fractals
2 Journal of Computational and Applied Mathematics
2 Numerische Mathematik
2 Japan Journal of Industrial and Applied Mathematics
2 Numerical Algorithms
2 Foundations of Computational Mathematics
2 Discrete and Continuous Dynamical Systems. Series B
2 Journal of Physics A: Mathematical and Theoretical
1 Archive for Rational Mechanics and Analysis
1 General Relativity and Gravitation
1 Journal of Fluid Mechanics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Mathematics of Computation
1 Advances in Mathematics
1 Applied Mathematics and Computation
1 Acta Applicandae Mathematicae
1 Applied Numerical Mathematics
1 Journal of Scientific Computing
1 Sugaku Expositions
1 European Journal of Applied Mathematics
1 Applications of Mathematics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Russian Journal of Mathematical Physics
1 Bulletin des Sciences Mathématiques
1 Nonlinear Dynamics
1 Journal of Inequalities and Applications
1 Communications on Pure and Applied Analysis
1 Oberwolfach Reports
1 GAMM-Mitteilungen
1 Mathematics in Computer Science
1 Journal of Fixed Point Theory and Applications
1 Frontiers of Mathematics in China
1 S\(\vec{\text{e}}\)MA Journal
1 Journal of Applied Analysis and Computation
1 Journal of Function Spaces
1 SN Partial Differential Equations and Applications

Citations by Year