Limit cycles for the Kukles system

Zang, Hong, Zhang, Tonghua, Tian, Yu-Chu, & Tade, Moses O. (2008) Limit cycles for the Kukles system. Journal of Dynamical and Control Systems, 14(2), pp. 283-298.

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This paper investigates the number and distributions of limit cycles for the Kukles system, which also can be regarded 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 non-small amplitude, which is very different from the previous work.

Impact and interest:

5 citations in Scopus
3 citations in Web of Science®
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Full-text downloads:

126 since deposited on 31 Mar 2008
10 in the past twelve months

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ID Code: 13212
Item Type: Journal Article
Refereed: Yes
Keywords: Limit cycles, The Kukles System, Dynamical systems
DOI: 10.1007/s10883-008-9036-x
ISSN: 1079-2724
Subjects: Australian and New Zealand Standard Research Classification > MATHEMATICAL SCIENCES (010000) > PURE MATHEMATICS (010100) > Ordinary Differential Equations Difference Equations and Dynamical Systems (010109)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Copyright Owner: Copyright 2008 Springer
Copyright Statement: The original publication is available at SpringerLink
Deposited On: 31 Mar 2008 00:00
Last Modified: 29 Feb 2012 13:47

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