Jay Mireles James

Jay Mireles James

Florida Atlantic University

H-index: 23

North America-United States

About Jay Mireles James

Jay Mireles James, With an exceptional h-index of 23 and a recent h-index of 17 (since 2020), a distinguished researcher at Florida Atlantic University, specializes in the field of Dynamical Systems, nonlinear analysis, computational mathematics.

His recent articles reflect a diverse array of research interests and contributions to the field:

State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections

Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four-body problem

Weighted Birkhoff Averages and the Parameterization Method

Computer assisted proofs in dynamical systems

Numerical computation of transverse homoclinic orbits for periodic solutions of delay differential equations

Validated numerical approximation of stable manifolds for parabolic partial differential equations

Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem

Computer assisted proof of drift orbits along normally hyperbolic manifolds

Jay Mireles James Information

University

Position

___

Citations(all)

1369

Citations(since 2020)

721

Cited By

957

hIndex(all)

23

hIndex(since 2020)

17

i10Index(all)

32

i10Index(since 2020)

26

Email

University Profile Page

Google Scholar

Jay Mireles James Skills & Research Interests

Dynamical Systems

nonlinear analysis

computational mathematics

Top articles of Jay Mireles James

Title

Journal

Author(s)

Publication Date

State Dependent Delay Maps: Numerical Algorithms and Dynamics of Projections

Experimental Mathematics

JD Mireles James

Francis C Motta

Vincent Naudot

2024/4/4

Computer assisted proof of homoclinic chaos in the spatial equilateral restricted four-body problem

Journal of Differential Equations

Maxime Murray

JD Mireles James

2024/1/5

Weighted Birkhoff Averages and the Parameterization Method

arXiv preprint arXiv:2306.16597

David Blessing

JD James

2023/6/28

Computer assisted proofs in dynamical systems

Communications in Nonlinear Science and Numerical Simulations

Maciej J Capiński

Jason D Mireles James

Warwick Tucker

Daniel Wilczak

Jan Bouwe van den Berg

2023/4

Numerical computation of transverse homoclinic orbits for periodic solutions of delay differential equations

SIAM Journal on Applied Dynamical Systems

Olivier Hénot

Jean-Philippe Lessard

Jason D Mireles James

2023/12/31

Validated numerical approximation of stable manifolds for parabolic partial differential equations

Journal of Dynamics and Differential Equations

Jan Bouwe van den Berg

Jonathan Jaquette

JD Mireles James

2023/12

Computer assisted proofs for transverse collision and near collision orbits in the restricted three body problem

Journal of Differential Equations

Maciej J Capiński

Shane Kepley

JD Mireles James

2023/9/5

Computer assisted proof of drift orbits along normally hyperbolic manifolds

Communications in Nonlinear Science and Numerical Simulation

Maciej J Capiński

Jorge Gonzalez

Jean-Pierre Marco

Jason D Mireles James

2022/3/1

Finite element approximation of invariant manifolds by the parameterization method

Partial Differential Equations and Applications

Jorge Gonzalez

JD Mireles James

Necibe Tuncer

2022/12

Parameterized stable/unstable manifolds for periodic solutions of implicitly defined dynamical systems

Chaos, Solitons & Fractals

Archana Neupane Timsina

JD Mireles James

2022/8/1

Parameterization of unstable manifolds for ddes: formal series solutions and validated error bounds

Journal of Dynamics and Differential Equations

Olivier Hénot

Jean-Philippe Lessard

JD Mireles James

2022/6

Torus knot choreographies in the n-body problem

Nonlinearity

Renato Calleja

Carlos García-Azpeitia

Jean-Philippe Lessard

JD Mireles James

2021/1/14

A Rigorous Implicit Chebyshev Integrator for Delay Equations

Journal of Dynamics and Differential Equations

Jean-Philippe Lessard

JD Mireles James

2021/12

Homoclinic dynamics in a spatial restricted four body problem

Maxime Murray

2021

Quantitative Analysis of Attractors in Finite-Dimensional Approximations of State-Dependent Delay Differential Equations

JD Mireles James

Francis Motta

Vincent Naudot

2021/11/19

Computer assisted proofs for connecting orbits in infinite dimensions

SCAN-2020

JD Mireles James

2021/9/13

From the Lagrange polygon to the figure eight I: Numerical evidence extending a conjecture of Marchal

Celestial Mechanics and Dynamical Astronomy

Renato Calleja

Carlos García-Azpeitia

Jean-Philippe Lessard

JD Mireles James

2021/3

Critical homoclinics in a restricted four-body problem: numerical continuation and center manifold computations

Celestial Mechanics and Dynamical Astronomy

Wouter Hetebrij

JD Mireles James

2021/2

Resonant tori, transport barriers, and chaos in a vector field with a Neimark–Sacker bifurcation

Communications in Nonlinear Science and Numerical Simulation

Emmanuel Fleurantin

JD Mireles James

2020/6/1

See List of Professors in Jay Mireles James University(Florida Atlantic University)

Co-Authors

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