Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane |
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| Authors: | Denis de Carvalho Braga Luis Fernando Mello |
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| Institution: | 1. Campus Avan?ado de Itabira, Universidade Federal de Itajubá, Rua S?o Paulo 377, Bairro Amazonas, CEP 35.900-373, Itabira, MG, Brazil
2. Instituto de Matemática e Computa??o, Universidade Federal de Itajubá, Avenida BPS 1303, Pinheirinho, CEP 37.500-903, Itajubá, MG, Brazil
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| Abstract: | In this paper we study the existence of limit cycles in a one-parameter family of discontinuous piecewise linear differential systems with two zones in the plane. It is characterized for all the parameter values the number of non-sliding limit cycles of the family studied, detecting a rather non-generic bifurcation leading to the simultaneous generation of three limit cycles. |
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