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|Type:||Artigo de periódico|
|Title:||Birth Of Limit Cycles Bifurcating From A Nonsmooth Center|
de Carvalho T.
|Abstract:||This paper is concerned with a codimension analysis of a two-fold singularity of piecewise smooth planar vector fields, when it behaves itself like a center of smooth vector fields (also called nondegenerate σ-center). We prove that any nondegenerate σ-center is σ-equivalent to a particular normal form Z0. Given a positive integer number k we explicitly construct families of piecewise smooth vector fields emerging from Z0 that have k hyperbolic limit cycles bifurcating from the nondegenerate σ-center of Z0 (the same holds for k=∞). Moreover, we also exhibit families of piecewise smooth vector fields of codimension k emerging from Z0. As a consequence we prove that Z0 has infinite codimension. © 2013 Elsevier Masson SAS.|
|Editor:||Elsevier Masson SAS|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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