 visitant ::
identificació
|
|||||||||||||||
|
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español | |||||||||
| Pàgina inicial > Articles > Articles publicats > Poincaré-Pontryagin-Melnikov functions for a class of perturbed planar Hamiltonian equations |
| Data: | 2016 |
| Resum: | In this paper we consider polynomial perturbations of a family of polynomial Hamiltonian equations whose associated Hamiltonian is not transversal to infinity, and its complexification is not a Morse polynomial. We look for an algorithm to compute the first non-vanishing Poincaré-Pontryagin-Melnikov function of the displacement function associated with the perturbed equation. We show that the algorithm of the case when the Hamiltonian is transversal to infinity and its complexification is a Morse polynomial can be extended to our family of perturbed equations. We apply the result to study the maximum number of zeros of the first non-vanishing Poincaré-Pontryagin-Melnikov function associated with some perturbed Hamiltonian equations. |
| Nota: | Agraïments: The author would like to thank the Centre de Recerca Matemàtica for their support and hospitality during the period in which the main results of this paper were obtained. |
| Drets: | Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.  |
| Llengua: | Anglès |
| Document: | Article ; recerca ; Versió acceptada per publicar |
| Matèria: | Limit cycle ; Abelian integral ; Perturbed equation ; Hamiltonian equation |
| Publicat a: | Qualitative theory of dynamical systems, 2016 , ISSN 1662-3592 |
24 p, 485.3 KB |
