A new algorithm for the computation of the Lyapunov constants for some degenerated critical points

Nonlinear Analysis, Theory, Methods and Applications

Volumn 47, Issue 7, 2001, Pages 4479-4490

  Gasull, Armengol ^b   Torregrosa, Joan ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b NONE

Author keywords

Center point; Generalized Lyapunov constants

Indexed keywords

DIFFERENTIAL EQUATIONS; HAMILTONIANS; LYAPUNOV METHODS; MATHEMATICAL TRANSFORMATIONS; PERTURBATION TECHNIQUES;

GENERALIZED POLAR COORDINATES;

PROBLEM SOLVING;

EID: 0035423754     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(01)00561-2     Document Type: Article

References (10)

1. Stability of motion
2. Structures in dynamics
3. Successive derivatives of a first return map, application to the study of quadratic vector fields
4. The number of small-amplitude limit cycles of Liénard equations
5. An explicit expression of the first Lyapunov and period constants with applications
6. Integrability of centers perturbed by quasi homogeneous polynomials
7. Center problem for several differential equations via Cherkas' method
8. Higher order bifurcations of limit cycles
9. On second order bifurcations of limit cycles