Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs-Reference-Cited by-同舟云学术

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Persistence of Periodic Orbits under State-dependent Delayed Perturbations: Computer-assisted Proofs

Published:2023-07-25 Issue:3 Volume:22 Page:1743-1779
ISSN:1536-0040
Container-title:SIAM Journal on Applied Dynamical Systems
language:en
Short-container-title:SIAM J. Appl. Dyn. Syst.

Author:

Gimeno Joan¹^ORCID,Lessard Jean-Philippe²,Mireles James J.D.³,Yang Jiaqi⁴

Affiliation:

1. Departament de Matemàtiques i Informàtica, Universitat de Barcelona, Gran Via de les Corts Catalanes 585, 08007 Barcelona, Spain.

2. Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 0B9, Canada.

3. Department of Mathematical Sciences, Florida Atlantic University, Science Building, Room 234, 777 Glades Road, Boca Raton, FL 33431, USA.

4. Clarkson University, 8 Clarkson Ave., Potsdam, NY 13699, USA.

Publisher

Society for Industrial & Applied Mathematics (SIAM)

Subject

Modeling and Simulation,Analysis

Reference58 articles.

1. The Laurent–Horner method for validated evaluation of Chebyshev expansions

2. A method for numerical integration on an automatic computer

3. Expansions in the delay of quasi-periodic solutions for state dependent delay equations

4. Stable manifolds to bounded solutions in possibly ill-posed PDEs

5. The parameterization method for invariant manifolds I: Manifolds associated to non-resonant subspaces

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1. Quasi-periodic Response Solution to Scalar State-Dependent Delay Differential Equation with Degenerate Equilibrium;Qualitative Theory of Dynamical Systems;2024-07-23

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