Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5024440 | Nonlinear Analysis: Real World Applications | 2017 | 14 Pages |
Abstract
In this article we study limit cycles in piecewise smooth perturbations of a linear center. In this setting it is common to adapt classical results for smooth systems, like Melnikov functions, to non-smooth ones. However, there is little justification for this procedure in the literature. By using the regularization method we give a theoretical proof that supports the use of Melnikov functions directly from the original non-smooth problem.
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Authors
Denis de Carvalho Braga, Alexander Fernandes da Fonseca, Luis Fernando Mello,