Detection function method and its application to a perturbed quintic Hamiltonian system

Chaos, Solitons and Fractals

Volumn 13, Issue 2, 2002, Pages 295-310

  Liu, Zhengrong ^a   Qian, Tifei ^b   Li, Jibin ^c  

^a YUNNAN UNIVERSITY   (China)

^b NORTHWESTERN UNIVERSITY   (United States)

^c KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; HAMILTONIANS; PERTURBATION TECHNIQUES; POLYNOMIALS;

DETECTION FUNCTIONS;

BIFURCATION (MATHEMATICS);

EID: 0036462770     PISSN: 09600779     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0960-0779(00)00270-8     Document Type: Article

References (12)

1. The theory of limit cycles
2. Bifurcations of limit cycles in a particular class of quadratic systems
3. Generalized hopf bifurcations and applications to planar quadratic systems
4. Limit cycles of perturbations of quadratic Hamiltonian vector fields
5. Some cubic systems with several limit cycles
6. On the paper of Jin and Wang concerning the conditions for a centre in certain cubic systems
7. 4-field
8. Bifurcation set and distribution of limit cycles for a class of cubic Hamiltonian system with higher-order perturbed terms
9. On the connection between two parts of Hilber's 16th problem and equivariant bifurcation problem