EXISTENCE OF PERIODIC SOLUTIONS FOR PLANAR HAMILTONIAN SYSTEMS AT RESONANCE

- Journal title : Journal of the Korean Mathematical Society
- Volume 48, Issue 6, 2011, pp.1143-1152
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/JKMS.2011.48.6.1143

Title & Authors

EXISTENCE OF PERIODIC SOLUTIONS FOR PLANAR HAMILTONIAN SYSTEMS AT RESONANCE

Kim, Yong-In;

Kim, Yong-In;

Abstract

The existence of periodic solutions for the planar Hamiltonian systems with positively homogeneous Hamiltonian is discussed. The asymptotic expansion of the Poincar map is calculated up to higher order and some sufficient conditions for the existence of periodic solutions are given in the case when the first order term of the Poincar map is identically zero.

Keywords

planar Hamilton system;resonance;periodic solution;

Language

English

Cited by

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