EXISTENCE OF MULTIPLE LIMIT CYCLES IN CHEN SYSTEM

Qinlong Wang; Jing Li; Wentao Huang

doi:10.11948/2012033

2012 Volume 2 Issue 4

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Qinlong Wang, Jing Li, Wentao Huang. EXISTENCE OF MULTIPLE LIMIT CYCLES IN CHEN SYSTEM[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 441-447. doi: 10.11948/2012033

Citation:

Qinlong Wang, Jing Li, Wentao Huang. EXISTENCE OF MULTIPLE LIMIT CYCLES IN CHEN SYSTEM[J]. Journal of Applied Analysis & Computation, 2012, 2(4): 441-447. doi: 10.11948/2012033

EXISTENCE OF MULTIPLE LIMIT CYCLES IN CHEN SYSTEM

1 School of Information and Mathematics, Yangtze University, Jingzhou 434023, China;
2 School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China

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Abstract

Abstract

In this paper, the existence of multiple limit cycles for Chen system are investigated. By using the method of computing the singular point quantities, the simple and explicit parametric conditions can be determined to the number and stability of multiple limit cycles from Hopf bifurcation. Especially, at least 4 limit cycles can be obtained for the Chen system as a three-dimensional perturbed system.
- Chen system /
- Hopf bifurcation /
- singular point quantities /
- center manifold
MSC: 34C23;34C28;34C40;37G15

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