Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method-Reference-Cited by-同舟云学术

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Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method

Published:2024-05-02 Issue: Volume: Page:1-20
ISSN:1468-9367
Container-title:Dynamical Systems
language:en
Short-container-title:Dynamical Systems

Author:

Uribe M.¹^ORCID,Vidarte J.¹,Carrasco D.²

Affiliation:

1. Departamento de Matemática y Física Aplicadas, Universidad Católica de la Santísima Concepción, Concepción, Chile

2. Grupo de investigación en Ecuaciones Diferenciales Funcionales y Aplicaciones (GIEDFAP), Departamento de Matemática, Facultad de Ciencias, Universidad del Bío-Bío, Concepción, VIII Región, Chile

Funder

Dirección de Investigación de la Universidad Católica de la Santísima Concepción, Chile

ANID-Chile

Universidad del Bío-Bío, Chile

Publisher

Informa UK Limited

Link

https://www.tandfonline.com/doi/pdf/10.1080/14689367.2024.2349563

Reference26 articles.

1. Nonintegrability of the Armbruster--Guckenheimer--Kim Quartic Hamiltonian Through Morales--Ramis Theory

2. Armbruster-Guckenheimer-Kim Hamiltonian system in 1:1 resonance;Alvarez-Ramírez M.;Russ. J. Nonlinear Dyn.,2021

3. A third integral of motion in a system with a potential of the fourth degree;Andrle P.;Bull. Astr. Inst. Czechosl.,1966

4. Chaotic dynamics in systems with square symmetry

5. Connecting symmetric and asymmetric families periodic orbits in squared symmetric Hamiltonians;Barrio R.;Int. J. Mod. Phys.,2012

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