The cyclicity of period annuli of degenerate quadratic Hamiltonian systems with elliptic segment loops

Ergodic Theory and Dynamical Systems

Volumn 22, Issue 2, 2002, Pages 349-374

  Chow, Shui Nee ^a,b   Li, Chengzhi ^c   Yi, Yingfei ^a,b  

^a GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

^b NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^c PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036012116     PISSN: 01433857     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0143385702000184     Document Type: Article

References (23)

1. Bifurcation of a limit cycle of a certain family of vector fields on the plane
2. Some quadratic systems with at most one limit cycle
3. The period function of a Hamiltonian quadratic system
4. Perturbations from an elliptic Hamiltonian of degree four: (I) saddle loop and saddle cycle
5. Perturbations from an elliptic Hamiltonian of degree four: (II) cuspidal loop
6. Perturbations from an elliptic Hamiltonian of degree form. (III) global center
7. Perturbations from an elliptic Hamiltonian of degree four: (IV) figure eight loop
8. Unfolding of a quadratic integrable system with two centers and two unbounded heteroclinic loops
9. The infinitesimal 16th Hilbert problem in the quadratic case
10. Second order analysis in polynomially perturbed reversible quadratic Hamiltonian systems
11. On the number of limit cycles in perturbations of quadratic Hamiltonian systems
12. High-order Melnikov functions for degenerate cubic Hamiltonians
13. The cyclicity of the period annulus of the quadratic Hamiltonian triangle
14. Perturbations of quadratic centers
15. A note of a G. S. Petrov's result about the weakened 16th Hilbert problem
16. The number of limit cycles of polynomial perturbations of a Hamiltonian vector field
17. On the number of limit cycles which appear by perturbation of separatrix loop of planar vector fields
18. Number of zeros of complete elliptic integrals
19. Theory of limit cycles
20. The cyclicity of period annulus of the quadratic Hamiltonian systems with non-Morsean point
21. Perturbations of the non-generic quadratic Hamiltoulan vector fields with hyperbolic segment
22. Quadratic systems with center and their perturbations