Generic bifurcation of refracted systems |
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| Authors: | Claudio A. Buzzi,Joã o C.R. Medrado,Marco A. Teixeira |
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| Affiliation: | 1. IBILCE-UNESP, CEP 15054–000, S. J. Rio Preto, São Paulo, Brazil;2. IME-UFG, CEP 74001–970, Goinia, Goiás, Brazil;3. IMECC-UNICAMP, CEP 13081–970, Campinas, São Paulo, Brazil |
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| Abstract: | In this article we discuss some qualitative and geometric aspects of non-smooth dynamical systems theory. Our goal is to study the diagram bifurcation of typical singularities that occur generically in one parameter families of certain piecewise smooth vector fields named Refracted Systems. Such systems has a codimension-one submanifold as its discontinuity set. |
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| Keywords: | primary 34C20 34C26 34D15 34H05 |
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