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Seventeen limit cycles bifurcations of a fifth system

Pages: 1070 - 1081, Issue Special, September 2007

 Abstract        Full Text (227.6K)              

Yunming Zhou - School of Mathematics and Information Science, Shandong University of Technology, Zibo City, Shandong Province 255049, China (email)
Desheng Shang - School of Mathematics and Information Science, Shandong University of Technology,, Zibo City, Shandong Province 255049, China (email)
Tonghua Zhang - Department of Chemical Engineering, Curtin University of Technology, GPO Box, U1987, Perth WA 6845, Australia (email)

Abstract: In this paper, we study a kind of cubic system perturbed by degree five. By using multi-parameter perturbation theory and qualitative analysis, we obtained seventeen limit cycles with two different distributions(see Fig 5).

Keywords:  Fifth system, perturbation, singular point value, bifurcation, homoclinic loop, limit cycle.
Mathematics Subject Classification:  34C05, 34C08, 34C23, 34D10, 34D15, 34K18, 34K26.

     Revised: September 2007;      Published: September 2007.