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ORCIDJason D. Mireles-James
Person information
- affiliation: Florida Atlantic University, Boca Raton, Florida, USA
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2020 – today
- 2024
[i2]Maxime Murray, Jason D. Mireles-James:
Computer assisted proofs for transverse heteroclinics by the parameterization method. CoRR abs/2405.12446 (2024)- 2023
- [j24]Maciej J. Capinski, Jason D. Mireles-James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg
:
Computer assisted proofs in dynamical systems. Commun. Nonlinear Sci. Numer. Simul. 118: 106998 (2023) - [j23]Joan Gimeno, Jean-Philippe Lessard, Jason D. Mireles-James, Jiaqi Yang:
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs. SIAM J. Appl. Dyn. Syst. 22(3): 1743-1779 (2023) - [j22]Olivier Hénot, Jean-Philippe Lessard, Jason D. Mireles-James:
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations. SIAM J. Appl. Dyn. Syst. 22(4): 3093-3129 (2023) - 2022
- [j21]Maciej J. Capinski, Jorge Gonzalez, Jean-Pierre Marco, Jason D. Mireles-James:
Computer assisted proof of drift orbits along normally hyperbolic manifolds. Commun. Nonlinear Sci. Numer. Simul. 106: 105970 (2022) - 2021
- [i1]Joan Gimeno, Jean-Philippe Lessard, Jason D. Mireles-James, Jiaqi Yang:
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs. CoRR abs/2111.06391 (2021) - 2020
- [j20]Emmanuel Fleurantin, Jason D. Mireles-James:
Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation. Commun. Nonlinear Sci. Numer. Simul. 85: 105226 (2020) - [j19]Blake Barker, Jason D. Mireles-James, Jalen Morgan:
Parameterization Method for Unstable Manifolds of Standing Waves on the Line. SIAM J. Appl. Dyn. Syst. 19(3): 1758-1797 (2020)
2010 – 2019
- 2018
- [j18]William D. Kalies, Shane Kepley, Jason D. Mireles-James:
Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds. SIAM J. Appl. Dyn. Syst. 17(1): 157-202 (2018) - 2017
- [j17]Vincent Naudot, Jason D. Mireles-James, Qiuying Lu:
High-order parameterization of (un)stable manifolds for hybrid maps: Implementation and applications. Commun. Nonlinear Sci. Numer. Simul. 53: 184-201 (2017) - [j16]Jason D. Mireles-James:
Fourier-Taylor Approximation of Unstable Manifolds for Compact Maps: Numerical Implementation and Computer-Assisted Error Bounds. Found. Comput. Math. 17(6): 1467-1523 (2017) - [j15]Jason D. Mireles-James, Maxime Murray:
Chebyshev-Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications. Int. J. Bifurc. Chaos 27(14): 1730050:1-1730050:32 (2017) - [j14]Maciej J. Capinski, Jason D. Mireles-James:
Validated Computation of Heteroclinic Sets. SIAM J. Appl. Dyn. Syst. 16(1): 375-409 (2017) - [j13]J. L. Gonzalez, Jason D. Mireles-James:
High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps. SIAM J. Appl. Dyn. Syst. 16(3): 1748-1795 (2017) - [j12]Jean-Philippe Lessard, Jason D. Mireles-James:
Computer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity. SIAM J. Math. Anal. 49(1): 530-561 (2017) - 2016
- [j11]Jan Bouwe van den Berg, Jason D. Mireles-James, Christian Reinhardt:
Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra. J. Nonlinear Sci. 26(4): 1055-1095 (2016) - [j10]Allan Hungria, Jean-Philippe Lessard, Jason D. Mireles-James:
Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach. Math. Comput. 85(299): 1427-1459 (2016) - [j9]Rafael de la Llave, Jason D. Mireles-James:
Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence. SIAM J. Appl. Dyn. Syst. 15(2): 1268-1323 (2016) - 2015
- [j8]Jason D. Mireles-James:
Computer assisted error bounds for linear approximation of (un)stable manifolds and rigorous validation of higher dimensional transverse connecting orbits. Commun. Nonlinear Sci. Numer. Simul. 22(Issues): 1102-1133 (2015) - [j7]Roberto Castelli, Jean-Philippe Lessard, Jason D. Mireles-James:
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form. SIAM J. Appl. Dyn. Syst. 14(1): 132-167 (2015) - [j6]Jan Bouwe van den Berg, Andréa Deschênes, Jean-Philippe Lessard, Jason D. Mireles-James:
Stationary Coexistence of Hexagons and Rolls via Rigorous Computations. SIAM J. Appl. Dyn. Syst. 14(2): 942-979 (2015) - 2013
- [j5]Jason D. Mireles-James:
Quadratic Volume-Preserving Maps: (Un)stable Manifolds, Hyperbolic Dynamics, and Vortex-Bubble Bifurcations. J. Nonlinear Sci. 23(4): 585-615 (2013) - [j4]Jason D. Mireles-James, Konstantin Mischaikow:
Rigorous A Posteriori Computation of (Un)Stable Manifolds and Connecting Orbits for Analytic Maps. SIAM J. Appl. Dyn. Syst. 12(2): 957-1006 (2013) - 2011
- [j3]Jan Bouwe van den Berg, Jason D. Mireles-James, Jean-Philippe Lessard, Konstantin Mischaikow:
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation. SIAM J. Math. Anal. 43(4): 1557-1594 (2011) - 2010
- [j2]Jason D. Mireles-James, Héctor E. Lomelí:
Computation of Heteroclinic Arcs with Application to the Volume Preserving Hénon Family. SIAM J. Appl. Dyn. Syst. 9(3): 919-953 (2010) - [j1]Jason D. Mireles-James:
Adaptive Set-Oriented Computation of Topological Horseshoe Factors in Area and Volume Preserving Maps. SIAM J. Appl. Dyn. Syst. 9(4): 1164-1200 (2010)
Coauthor Index
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