Bounding the number of zeros of certain Abelian integrals
In this paper we prove a criterion that provides an easy sufficient condition in order for any nontrivial linear combination of n Abelian integrals to have at most n + k - 1 zeros counted with multiplicities. This condition involves the functions in the integrand of the Abelian integrals and it can...
| Autores: | , |
|---|---|
| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:150430 |
| Acceso en línea: | https://ddd.uab.cat/record/150430 https://dx.doi.org/urn:doi:10.1016/j.jde.2011.05.026 |
| Access Level: | acceso abierto |
| Palabra clave: | Abelian integral Chebyshev system Wronskian Hamiltonian perturbation Limit cycle |
| Sumario: | In this paper we prove a criterion that provides an easy sufficient condition in order for any nontrivial linear combination of n Abelian integrals to have at most n + k - 1 zeros counted with multiplicities. This condition involves the functions in the integrand of the Abelian integrals and it can be checked, in many cases, in a purely algebraic way. |
|---|