Perturbations from an elliptic Hamiltonian of degree four. I. Saddle Loop and Two Saddle Cycle

Journal of Differential Equations

Volumn 176, Issue 1, 2001, Pages 114-157

  Dumortier, Freddy ^a   Li, Chengzhi ^b  

^a HASSELT UNIVERSITY   (Belgium)

^b PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035841053     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1006/jdeq.2000.3977     Document Type: Article

References (20)

1. Versal deformation of a singularity of a vector field on the plane in case of zero eigenvalues
2. Small-amplitude limit cycles in Liénard systems
3. On the number of critical points of the period
4. Generic 4-parameter unfolding of the nilpotent saddle of codimension 4
5. On the uniqueness of limit cycles surrounding one or more singularities in Liénard equations
6. Quadratic Liénard equations with quadratic damping
7. Cubic Liénard equations with linear damping
8. Generic 3-parameter families of vector fields on the plane, unfolding a singularity with nilpotent linear part. The cusp case
9. Remark on the number of critical points of the period
10. Versal deformations of equivalent vector fields in the case of symmetry of order 2 and 3
11. Global study of a family of cubic Liénard equations
12. On Liénard's equations
13. A system with three limit cycles appearing in a Hopf bifurcation and dying in a homoclinic bifurcation, the cusp of order 4
14. A criterion for determining the monotonicity of the ratio of two Abelian integrals
15. Number of zeros of complete elliptic integrals
16. The Chebyshev property of elliptic integrals
17. Non-oscillation of elliptic integrals