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Flow map parameterization methods for invariant tori in Hamiltonian systems

  • Published:2021-10 Issue: Volume:101 Page:105859
  • ISSN:1007-5704
  • Container-title:Communications in Nonlinear Science and Numerical Simulation
  • language:en
  • Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Haro AlexORCID,Mondelo J.M.ORCID

Funder

Horizon 2020 MSCA

Gobierno de España Ministerio de Economía y Competitividad

Generalitat de Catalunya Agència de Gestió d'Ajuts Universitaris i de Recerca

NSF

Gobierno de Espana Ministerio de Ciencia Innovacion y Universidades

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference52 articles.

1. A computer-assisted study of global dynamic transitions for a noninvertible system;Adomaitis;Internat J Bifur Chaos Appl Sci Engrg,2007

2. Numerical continuation methods;Allgower,1990

3. Fully numerical methods for continuing families of quasi-periodic invariant tori in astrodynamics;Baresi;The Journal of the Astronautical Sciences,2018

4. The Fast Fourier Transform and its applications;Brigham,1988

5. The parameterization method for invariant manifolds. I. Manifolds associated to non-resonant subspaces;Cabré;Indiana Univ Math J,2003

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Optimization Over Families of Quasi-Periodic Orbits;The Journal of the Astronautical Sciences;2024-09-06

2. Weighted Birkhoff Averages and the Parameterization Method;SIAM Journal on Applied Dynamical Systems;2024-07-10

3. Fully numerical computation of heteroclinic connection families in the spatial three-body problem;Communications in Nonlinear Science and Numerical Simulation;2024-03

4. Flow Map Parameterization Methods for Invariant Tori in Quasi-Periodic Hamiltonian Systems;SIAM Journal on Applied Dynamical Systems;2024-01-12

5. Semianalytical Computation of Heteroclinic Connections Between Center Manifolds with the Parameterization Method;SIAM Journal on Applied Dynamical Systems;2024-01-04
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