Periodic solutions and their stability for some perturbed Hamiltonian systems-Reference-Cited by-同舟云学术

Periodic solutions and their stability for some perturbed Hamiltonian systems

Published:2020-11-25 Issue:01 Volume:18 Page:2150013
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Guirao Juan L. G.¹^ORCID,Llibre Jaume²,Vera Juan A.³,Wade Bruce A.⁴

Affiliation:

1. Departamento de Matemática Aplicada y Estadística, Universidad Politécnica de Cartagena, 30202 Cartagena, Región de Murcia, Spain

2. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Bellaterra, 08193 Barcelona, Catalonia, Spain

3. Centro Universitario de la Defensa, Academia General del Aire, Universidad Politécnica de Cartagena, 30720 Santiago de la Ribera, Región de Murcia, Spain

4. Mathematics Department, University of Louisiana at Lafayette, P.O. Box 43568, Lafayette, LA 70504-3568, USA

Abstract

We deal with non-autonomous Hamiltonian systems of one degree of freedom. For such differential systems, we compute analytically some of their periodic solutions, together with their type of stability. The tool for proving these results is the averaging theory of dynamical systems. We present some applications of these results.

Funder

Ministerio de Ciencia, Innovación y Universidades

Fundación Séneca

Agéncia de Gestió d'Ajuts Universitaris i de Recerca

H2020 European Research Council

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887821500134

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