Article ID Journal Published Year Pages File Type
5024440 Nonlinear Analysis: Real World Applications 2017 14 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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