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World Scientific Publishing, International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 04(23), p. 1350067, 2013

DOI: 10.1142/s0218127413500673

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Bifurcations of Limit Cycles for a Perturbed Cubic System With Double Figure Eight Loop

Journal article published in 2013 by Tonghua Zhang ORCID, Hong Zang, Mose O. Tade
This paper was not found in any repository, but could be made available legally by the author.
This paper was not found in any repository, but could be made available legally by the author.

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Abstract

This paper is concerned with the distribution and number of limit cycles for a cubic Hamiltonian system under cubic perturbation. The fact that there exist seven limit cycles is proved. The different distributions of limit cycles are given by using the methods of bifurcation theory and qualitative analysis, and the distributions of seven limit cycles are newly established.