Limit Cycles for the Kukles system

Authors:
Hong Zang;Tonghua Zhang;Yu-Chu Tian;Moses O. Tadé
Affiliations:
Department of Chemical Engineering, Curtin University of Technology, Perth, Australia;Department of Chemical Engineering, Curtin University of Technology, Perth, Australia;School of Software Engineering and Data Communications, Faculty of Information Technology, Queensland University of Technology, Brisbane, Australia 4001;Department of Chemical Engineering, Curtin University of Technology, Perth, Australia
Venue:
Journal of Dynamical and Control Systems
Year:
2008

Citing 3
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Abstract

This paper investigates the number and distributions of limit cycles for the Kukles system, which also can be considered as a class of reduced Kukles system under cubic perturbation. Using the techniques of bifurcation theory and qualitative analysis, we have obtained three different distributions of five limit cycles for the considered systems. In the first two distributions, the five limit cycles are all of nonsmall amplitude, which is quite different from the previous work.