Study of limit cycles in piecewise smooth perturbations of Hamiltonian centers via regularization method
Autor: | Denis de Carvalho Braga, Alexander Fernandes da Fonseca, Luis Fernando Mello |
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Rok vydání: | 2017 |
Předmět: |
Applied Mathematics
010102 general mathematics melnikov function piecewise smooth system 01 natural sciences Regularization (mathematics) 010101 applied mathematics limit cycle periodic orbit QA1-939 Piecewise Limit (mathematics) 0101 mathematics regularization method Mathematics Hamiltonian (control theory) Mathematical physics |
Zdroj: | Electronic Journal of Qualitative Theory of Differential Equations, Vol 2017, Iss 79, Pp 1-13 (2017) |
ISSN: | 1417-3875 |
DOI: | 10.14232/ejqtde.2017.1.79 |
Popis: | In this article we study the existence and positions of limit cycles in piecewise smooth perturbations of planar Hamiltonian centers. By using the regularization method we provide an analytical expression for the first order Melnikov function frequently used in the literature directly from the original non-smooth problem. |
Databáze: | OpenAIRE |
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