Jason D. Mireles-James

Publication Activity (10 Years)

Years Active: 2010-2024
Publications (10 Years): 18

Top Topics

Infinite Dimensional

Wavelet Synopses

Top Venues

SIAM J. Appl. Dyn. Syst.

Commun. Nonlinear Sci. Numer. Simul.

Int. J. Bifurc. Chaos

Publications

Maxime Murray, Jason D. Mireles-James
Computer assisted proofs for transverse heteroclinics by the parameterization method. CoRR (2024)
David Blessing, Jason D. Mireles-James
Weighted Birkhoff Averages and the Parameterization Method. SIAM J. Appl. Dyn. Syst. 23 (3) (2024)
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) (2023)
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) (2023)
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 (2023)
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 (2022)
Joan Gimeno, Jean-Philippe Lessard, Jason D. Mireles-James, Jiaqi Yang
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs. CoRR (2021)
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 (2020)
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) (2018)
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 (2017)
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) (2017)
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) (2017)
Jean-Philippe Lessard, Jason D. Mireles-James
Computer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity. SIAM J. Math. Anal. 49 (1) (2017)
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) (2017)
Maciej J. Capinski, Jason D. Mireles-James
Validated Computation of Heteroclinic Sets. SIAM J. Appl. Dyn. Syst. 16 (1) (2017)
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) (2016)
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) (2016)
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) (2016)
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) (2015)
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) (2015)
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) (2015)
Jason D. Mireles-James
Quadratic Volume-Preserving Maps: (Un)stable Manifolds, Hyperbolic Dynamics, and Vortex-Bubble Bifurcations. J. Nonlinear Sci. 23 (4) (2013)
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) (2013)
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) (2011)
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) (2010)
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) (2010)