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PERIODIC SOLUTIONS OF DISCONTINUOUS SECOND ORDER DIFFERENTIAL SYSTEMS

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Autor(es):
Llibre, Jaume ; Teixeira, Marco Antonio
Número total de Autores: 2
Tipo de documento: Artigo Científico
Fonte: JOURNAL OF SINGULARITIES; v. 10, p. 8-pg., 2014-01-01.
Resumo

We provide sufficient conditions for the existence of periodic solutions of some classes of autonomous and non-autonomous second order differential equations with discontinuous right-hand sides. In the plane the discontinuities considered are given by the straight lines either x = 0, or xy = 0. Two applications of these results are made, one to control systems with variable structure, and the other to small external periodic excitation of a discontinuous nonlinear oscillator. (AU)

Processo FAPESP: 07/06896-5 - Geometria de sistemas de controle, sistemas dinâmicos e estocásticos
Beneficiário:Luiz Antonio Barrera San Martin
Modalidade de apoio: Auxílio à Pesquisa - Temático