Limit cycles for Singular Perturbation Problems via Inverse Integrating Factor - doi: 10.5269/bspm.v26i1-2.7401

Jaume Llibre; João C. R. Medrado; Paulo R. da Silva

doi:10.5269/bspm.v26i1-2.7401

Limit cycles for Singular Perturbation Problems via Inverse Integrating Factor - doi: 10.5269/bspm.v26i1-2.7401

Authors

Jaume Llibre Universitat Autonoma de Barcelona,
João C. R. Medrado Instituto de Matematica e Estatistica - UFG
Paulo R. da Silva IBILCE - UNESP

DOI:

https://doi.org/10.5269/bspm.v26i1-2.7401

Keywords:

Limit cycles, vector fields, singular perturbation, inverse integrating factor.

Abstract

In this paper singularly perturbed vector fields X_{\varepsilon} defined in R^2 are discussed. The main results use the solutions of the linear partial diferential equation X_{\varepsilon}V = div(X_{\varepsilon})V to give conditions for the existence of limit cycles converging to a singular orbit with respect to the Hausdor distance.