QUT ePrints

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.

View at publisher

Abstract

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:

3 citations in Scopus
Search Google Scholar™
3 citations in Web of Science®

Citation countsare sourced monthly from Scopus and Web of Science® citation databases.

These databases contain citations from different subsets of available publications and different time periods and thus the citation count from each is usually different. Some works are not in either database and no count is displayed. Scopus includes citations from articles published in 1996 onwards, and Web of Science® generally from 1980 onwards.

Citations counts from the Google Scholar™ indexing service can be viewed at the linked Google Scholar™ search.

Full-text downloads:

91 since deposited on 31 Mar 2008
15 in the past twelve months

Full-text downloadsdisplays the total number of times this work’s files (e.g., a PDF) have been downloaded from QUT ePrints as well as the number of downloads in the previous 365 days. The count includes downloads for all files if a work has more than one.

ID Code: 13212
Item Type: Journal Article
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 http://www.springerlink.com
Deposited On: 31 Mar 2008
Last Modified: 29 Feb 2012 23:47

Export: EndNote | Dublin Core | BibTeX

Repository Staff Only: item control page