Seventeen limit cycles bifurcations of a fifth system

Yunming Zhou; Desheng Shang; Tonghua Zhang

doi:10.3934/proc.2007.2007.1070

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2007, Volume 2007: 1070-1081. Doi: 10.3934/proc.2007.2007.1070 open access

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Seventeen limit cycles bifurcations of a fifth system

1.
School of Mathematics and Information Science, Shandong University of Technology, Zibo City, Shandong Province 255049
2.
School of Mathematics and Information Science, Shandong University of Technology,, Zibo City, Shandong Province 255049
3.
Department of Chemical Engineering, Curtin University of Technology, GPO Box, U1987, Perth WA 6845

Revised: August 31, 2007

Published: August 2007

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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).

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Mathematics Subject Classification: 34C05, 34C08, 34C23, 34D10, 34D15, 34K18, 34K26.

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