Existence of periodic orbits for a strongly non-linear non-ideal problem

Autores

  • Márcio José Horta Dantas

DOI:

https://doi.org/10.5540/03.2017.005.01.0038

Palavras-chave:

Periodic Solutions, Regular Perturbation Theory, Poincarè Method, Elliptic Functions.

Resumo

In this paper the existence of periodic orbits for a strongly non linear problem is rigorously proved. The non perturbed part of the system involves a cubic polynomial. In order to approach such problem is necessary to use elliptic functions. For non ideal problems this the first time that such kind of result is obtained.

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Publicado

2017-04-14

Edição

Seção

Trabalhos Completos - Análise Aplicada