Bifurcation of limit cycles near equivariant compound cycles

Search Swinburne Research Bank

Home

Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/191999

Title: Bifurcation of limit cycles near equivariant compound cycles
Author(s): Han, Mao-an; Zhang, Tong-hua; Zang, Hong
Abstract: In this paper we study some equivariant systems on the plane. We first give some criteria for the outer or inner stability of compound cycles of these systems. Then we investigate the number of limit cycles which appear near a compound cycle of a Hamiltonian equivariant system under equivariant perturbations. In the last part of the paper we present an application of our general theory to show that a Z 3 equivariant system can have 13 limit cycles.
Publication type: Journal article
Source: Science in China, Series A: Mathematics, Vol. 50, no. 4 (Apr 2007), pp. 503-514
Publication year: 2007
FOR Code(s): 0101 Pure Mathematics
Keyword(s): Bifurcation; Equivariant system; Limit cycle; Stability
Publisher: Science China Press and Springer
ISSN: 1006-9283
Publisher URL: http://dx.doi.org/10.1007/s11425-007-2037-5
Peer reviewed