Thirteen limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms

摘要

The number and distribution of limit cycles of a cubic Hamiltonian system under higher-order perturbed terms is investigated. By using the bifurcation theory and the method of detection function, we obtain that there exist at least 13 limit cycles with the distribution C-7(1) subset of 2[C-3(2) subset of 2C(1)(2)] in the Hamiltonian system under the perturbed term of degree 5. Additionally, various distributions of limit cycles are given by numerical exploration. (C) 2008 Elsevier Inc. All rights reserved.