Center problem and multiple hopf bifurcation for the z6- equivariant planar polynomial vector, fields of degree 5

International Journal of Bifurcation and Chaos

Volumn 19, Issue 5, 2009, Pages 1741-1749

  Liu, Yirong ^a   Li, Jibin ^a,b  

^a ZHEJIANG NORMAL UNIVERSITY   (China)

^b KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

Bifurcations; Limit cycles; Lyapunov constant; Planar vector field; Z 6 equivariant system

Indexed keywords

BIFURCATION (MATHEMATICS); HAMILTONIANS; VECTORS;

A-CENTER; CENTER PROBLEMS; EQUIVARIANT SYSTEMS; HAMILTONIAN VECTOR FIELDS; LIMIT-CYCLE; PERTURBED SYSTEMS; PLANAR POLYNOMIALS; VECTOR FIELDS;

HOPF BIFURCATION;

EID: 69249117444     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127409023950     Document Type: Article

References (5)

1. Li, J. B. & Li, C. F. [1985] "Planar cubic Hamiltonian systems and distribution of limit cycles of (E3)," Acta Math. Sin. 28, 509-521.
2. Li, J. B. & Huang, Q. M. [1987] "Bifurcations of limit cycles forming compound eyes in the cubic system," Chin. Ann. Math. B 8, 391-403.
3. Li, J. B., Chan, H. S. Y. & Chung, K. W. [2002] "Bifurcations of limit cycles in a Z6-equivariant planar vector field of degree 5," Sci. China Ser. A 45, 817-826.
4. Li, J. B. [2003] "Hilbert's 16th problem and bifurcations of planar polynomial vector fields," Int. J. Bifurcation and Chaos 13, 47-106.
5. Liu, Y. R., Li, J. B. & Huang, W. T. [2008] Singular Point Values, Center Problem and Bifurcations of Limit Cycles of Two Dimensional Differential Autonomous Systems (Science Press, Beijing).