Reversible periodic orbits in a class of 3D continuous piecewise linear systems of differential equations |
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| Authors: | V. Carmona,S. Ferná ndez-Garcí a,F. Ferná ndez-Sá nchez,E. Garcí a-Medina,A.E. Teruel |
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| Affiliation: | 1. Departamento de Matemática Aplicada II, Universidad de Sevilla, Escuela Técnica Superior de Ingeniería, Camino de los Descubrimientos s/n, 41092 Sevilla, Spain;2. Departament de Matemàtiques i Informàtica, Universitat de les Illes Balears, Carretera de Valldemossa km. 7.5. 07122 Palma de Mallorca, Spain |
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| Abstract: | The so-called noose bifurcation is an interesting structure of reversible periodic orbits that was numerically detected by Kent and Elgin in the well-known Michelson system. In this work we perform an analysis of the periodic behavior of a piecewise version of the Michelson system where this bifurcation also exists. This variant is a one-parameter three-dimensional piecewise linear continuous system with two zones separated by a plane and it is also a representative of a wide class of reversible divergence-free systems. |
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| Keywords: | 34C23 34C25 34C45 37G15 |
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