Limit cycles for the Kukles system
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.
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|Item Type:||Journal Article|
|Keywords:||Limit cycles, The Kukles System, Dynamical systems|
|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 http://www.springerlink.com|
|Deposited On:||31 Mar 2008|
|Last Modified:||29 Feb 2012 13:47|
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