Periodic solutions in a 2D-symmetric Hamiltonian system through reduction and averaging method
Abstract
We study a type of perturbed polynomial Hamiltonian system in 1:1 resonance. The perturbation consists of a homogeneous quartic potential invariant by rotations of pi / 2 radians. The existence of periodic solutions is established using reduction and averaging theories. The different types of periodic solutions, linear stability, and bifurcation curves are characterized in terms of the parameters. Finally, some choreography of bifurcations are obtained, showing in detail the evolution of the phase flow.
Más información
Título según WOS: | ID WOS:001214629400001 Not found in local WOS DB |
Título de la Revista: | DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL |
Editorial: | TAYLOR & FRANCIS LTD |
Fecha de publicación: | 2024 |
DOI: |
10.1080/14689367.2024.2349563 |
Notas: | ISI |