Bifurcation of limit cycles near equivariant compound cycles

Science in China, Series A: Mathematics

Volumn 50, Issue 4, 2007, Pages 503-514

  Han, Mao An ^a   Zhang, Tong Hua ^a   Zang, Hong ^a  

^a SHANGHAI NORMAL UNIVERSITY   (China)

Author keywords

Bifurcation; Equivariant system; Limit cycle; Stability

Indexed keywords

EID: 34547243359     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11425-007-2037-5     Document Type: Article

References (11)

1. Li J. Chaos and Melnikov Function. Chongqing: Chongqing University Press, 1989 (in Chinese)
2. Li J, Lu Z. Ordinary and Delay Differential Equations. Edinburg: TX, 1991, 116-128
3. Li J, Liu Z. Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system. Publ Mat, 35: 487-506 (1991)
4. 2-equivariant planar vector fields of degree 5. Intern J Bifur Chaos Appl Sci Engrg, 12: 2137-2157 (2002)
5. 6-equivariant planar vector field of degree 5. Sci China Ser A: Math, 45: 817-826 (2002)
6. Li J. Hubert's 16th problem and bifurcations of planar polynomial vector fields. Internat J Bifur Chaos Appl Sci Engrg, 13: 47-106 (2003)
7. Shui S, Zhu D. Codimension 3 nonresonant bifurcations of homoclinic orbits with two inclination flips. Sci China Ser A: Math, 48(2): 248-260 (2005)
8. Han M, Chen X. Existence and bifurcation of integral manifolds with applications. Sci China Ser A: Math, 48(7): 940-957 (2005)
9. Ye Y. Theory of Limit Cycles (Chinese Translations of Mathematical Monographs Vol. 66). Providence: American Mathematical Society, 1986
10. Han M, Luo D, et al. Uniqueness of limit cycles bifurcating from a singular closed orbit, III. Acta Math Sinica, Chinese Series, 35: 673-684 (1992)
11. Han M, Hu S, et al. On the stability of double homoclinic and heteroclinic cycles. Nonlinear Analysis, 53: 701-713 (2003)