Jason D. Mireles-James

28 papers Journal 28
YearRankTypeTitle / Venue / Authors
2025 J jnl
State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections.
Exp. Math.
Jason D. Mireles-James, Francis C. Motta, Vincent Naudot
2024 J jnl
Computer assisted proofs for transverse heteroclinics by the parameterization method.
CoRR
Maxime Murray, Jason D. Mireles-James
2024 J jnl
Weighted Birkhoff Averages and the Parameterization Method.
SIAM J. Appl. Dyn. Syst.
David Blessing, Jason D. Mireles-James
2023 J jnl
Computer assisted proofs in dynamical systems.
Commun. Nonlinear Sci. Numer. Simul.
Maciej J. Capinski, Jason D. Mireles-James, Warwick Tucker, Daniel Wilczak, Jan Bouwe van den Berg
2023 J jnl
Numerical Computation of Transverse Homoclinic Orbits for Periodic Solutions of Delay Differential Equations.
SIAM J. Appl. Dyn. Syst.
Olivier Hénot, Jean-Philippe Lessard, Jason D. Mireles-James
2023 J jnl
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs.
SIAM J. Appl. Dyn. Syst.
Joan Gimeno, Jean-Philippe Lessard, Jason D. Mireles-James, Jiaqi Yang
2022 J jnl
Computer assisted proof of drift orbits along normally hyperbolic manifolds.
Commun. Nonlinear Sci. Numer. Simul.
Maciej J. Capinski, Jorge Gonzalez, Jean-Pierre Marco, Jason D. Mireles-James
2021 J jnl
Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs.
CoRR
Joan Gimeno, Jean-Philippe Lessard, Jason D. Mireles-James, Jiaqi Yang
2020 J jnl
Parameterization Method for Unstable Manifolds of Standing Waves on the Line.
SIAM J. Appl. Dyn. Syst.
Blake Barker, Jason D. Mireles-James, Jalen Morgan
2020 J jnl
Resonant tori, transport barriers, and chaos in a vector field with a Neimark-Sacker bifurcation.
Commun. Nonlinear Sci. Numer. Simul.
Emmanuel Fleurantin, Jason D. Mireles-James
2018 J jnl
Analytic Continuation of Local (Un)Stable Manifolds with Rigorous Computer Assisted Error Bounds.
SIAM J. Appl. Dyn. Syst.
William D. Kalies, Shane Kepley, Jason D. Mireles-James
2017 J jnl
Chebyshev-Taylor Parameterization of Stable/Unstable Manifolds for Periodic Orbits: Implementation and Applications.
Int. J. Bifurc. Chaos
Jason D. Mireles-James, Maxime Murray
2017 J jnl
Computer Assisted Fourier Analysis in Sequence Spaces of Varying Regularity.
SIAM J. Math. Anal.
Jean-Philippe Lessard, Jason D. Mireles-James
2017 J jnl
Fourier-Taylor Approximation of Unstable Manifolds for Compact Maps: Numerical Implementation and Computer-Assisted Error Bounds.
Found. Comput. Math.
Jason D. Mireles-James
2017 J jnl
High-Order Parameterization of Stable/Unstable Manifolds for Long Periodic Orbits of Maps.
SIAM J. Appl. Dyn. Syst.
J. L. Gonzalez, Jason D. Mireles-James
2017 J jnl
High-order parameterization of (un)stable manifolds for hybrid maps: Implementation and applications.
Commun. Nonlinear Sci. Numer. Simul.
Vincent Naudot, Jason D. Mireles-James, Qiuying Lu
2017 J jnl
Validated Computation of Heteroclinic Sets.
SIAM J. Appl. Dyn. Syst.
Maciej J. Capinski, Jason D. Mireles-James
2016 J jnl
Computing (Un)stable Manifolds with Validated Error Bounds: Non-resonant and Resonant Spectra.
J. Nonlinear Sci.
Jan Bouwe van den Berg, Jason D. Mireles-James, Christian Reinhardt
2016 J jnl
Connecting Orbits for Compact Infinite Dimensional Maps: Computer Assisted Proofs of Existence.
SIAM J. Appl. Dyn. Syst.
Rafael de la Llave, Jason D. Mireles-James
2016 J jnl
Rigorous numerics for analytic solutions of differential equations: the radii polynomial approach.
Math. Comput.
Allan Hungria, Jean-Philippe Lessard, Jason D. Mireles-James
2015 J jnl
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.
Jason D. Mireles-James
2015 J jnl
Parameterization of Invariant Manifolds for Periodic Orbits I: Efficient Numerics via the Floquet Normal Form.
SIAM J. Appl. Dyn. Syst.
Roberto Castelli, Jean-Philippe Lessard, Jason D. Mireles-James
2015 J jnl
Stationary Coexistence of Hexagons and Rolls via Rigorous Computations.
SIAM J. Appl. Dyn. Syst.
Jan Bouwe van den Berg, Andréa Deschênes, Jean-Philippe Lessard, Jason D. Mireles-James
2013 J jnl
Quadratic Volume-Preserving Maps: (Un)stable Manifolds, Hyperbolic Dynamics, and Vortex-Bubble Bifurcations.
J. Nonlinear Sci.
Jason D. Mireles-James
2013 J jnl
Rigorous A Posteriori Computation of (Un)Stable Manifolds and Connecting Orbits for Analytic Maps.
SIAM J. Appl. Dyn. Syst.
Jason D. Mireles-James, Konstantin Mischaikow
2011 J jnl
Rigorous Numerics for Symmetric Connecting Orbits: Even Homoclinics of the Gray-Scott Equation.
SIAM J. Math. Anal.
Jan Bouwe van den Berg, Jason D. Mireles-James, Jean-Philippe Lessard, Konstantin Mischaikow
2010 J jnl
Adaptive Set-Oriented Computation of Topological Horseshoe Factors in Area and Volume Preserving Maps.
SIAM J. Appl. Dyn. Syst.
Jason D. Mireles-James
2010 J jnl
Computation of Heteroclinic Arcs with Application to the Volume Preserving Hénon Family.
SIAM J. Appl. Dyn. Syst.
Jason D. Mireles-James, Héctor E. Lomelí