Averaging analysis of a perturbated quadratic center

Nonlinear Analysis, Theory, Methods and Applications

Volumn 46, Issue 1, 2001, Pages 45-51

  Llibre, Jaume ^a   Pérez del Río, Jesús S ^b   Rodríguez, José Angel ^b  

^a UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

^b UNIVERSITY OF OVIEDO   (Spain)

Author keywords

Bifurcation from a center; Limit cycles

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; POLYNOMIALS; THEOREM PROVING;

AVERAGING THEORY;

NONLINEAR EQUATIONS;

EID: 0035480422     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00444-7     Document Type: Article

References (7)

1. Bifurcation of limit cycles from centers and separatrix cycles of planar analytic systems
2. On the nonexistence, existence and uniqueness of limit cycles
3. On the shape of limit cycles that bifurcate from Hamiltonian centers
4. Nonlinear oscillations, dynamical systems and bifurcations of vector fields
5. Weak focus, limit cycles and bifurcations for bounded quadratic systems
6. Über autoschwingungssysteme, die den hamiltonschen nahe liegen