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Elsevier, Journal of Mathematical Analysis and Applications, 2(316), p. 679-696, 2006

DOI: 10.1016/j.jmaa.2005.04.085

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The number and distributions of limit cycles for a class of cubic near-Hamiltonian systems

Journal article published in 2006 by Hong Zang, Tonghua Zhang ORCID, Maoan Han
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

This paper concerns with the number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist 9–11 limit cycles is proved. The different distributions of limit cycles are given by using methods of bifurcation theory and qualitative analysis, among which two distributions of eleven limit cycles are new.