Arbitrary order bifurcations for perturbed Hamiltonian planar systems via the reciprocal of an integrating factor

Nonlinear Analysis, Theory, Methods and Applications

Volumn 48, Issue 1, 2002, Pages 117-136

  Viano, Mireille ^a   Llibre, Jaume ^b   Giacomini, Hector ^a  

^a UNIVERSITÉ DE TOURS   (France)

^b UNIVERSITAT AUTÒNOMA DE BARCELONA   (Spain)

Author keywords

Bifurcations; Limit cycles; Melnikov functions; Planar systems

Indexed keywords

COMPUTATION THEORY; HAMILTONIANS; PARTIAL DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES; THEOREM PROVING; VECTORS;

HAMILTONIAN PLANAR SYSTEMS; MELNIKOV FUNCTIONS;

BIFURCATION (MATHEMATICS);

EID: 0036027606     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(00)00176-0     Document Type: Article

References (14)

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11. On second-order bifurcations of limit cycles
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13. Melnikov functions and perturbation of a planar Hamiltonian system
14. High-order Melnikov functions and the problem of uniformity in global bifurcations