Please use this identifier to cite or link to this item:
|Type:||Artigo de periódico|
|Title:||Periodic solutions of a class of non-autonomous second order differential equations with discontinuous right-hand side|
|Abstract:||The main goal of this paper is to discuss the existence of periodic solutions of the second order equation: y '' + eta sgn(y) = alpha sin(beta t) with (eta, alpha, beta) is an element of R-3 eta > 0. We analyze the dynamics of such an equation around the origin which is a typical singularity of nonsmooth dynamical systems. The main results consist in exhibiting conditions on the existence of typical periodic solutions that appear generically in such systems. We emphasize that the mechanism employed here is applicable to many more systems. In fact this work fits into a general program for understanding the dynamics of non-autonomous differential equations with discontinuous right-hand sides. (C) 2011 Elsevier B.V. All rights reserved.|
|Subject:||Non-smooth differential equations|
|Editor:||Elsevier Science Bv|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.