info:eu-repo/semantics/conferencePaper
Analyzing sliding bifurcations on discontinuity boundary of Filippov systems
Fecha
2008-01-01Registro en:
17924308
WOS;000255184600024
Autor
Arango, Ivan
Taborda, John Alexander
Arango, Ivan
Taborda, John Alexander
Institución
Resumen
In this paper, we propose a novel method to analyze sliding bifurcations in discontinuous piecewise smooth autonomous systems (denominated Filippov systems) on the planar neighborhood of the discontinuity boundary (DB). We use a classification recently proposed of points and events on DB to characterize the one-parameter sliding bifurcations. For each parameter value, crossing and sliding segments on DB are determined by means of existence conditions of two crossing points (C), four non-singular sliding points (S) and thirty-five singular sliding points (T, V, Pi, Psi, Q or Phi). Boolean-valued functions are used to formulate these conditions based on geometric criterions. This method was proven with the full catalog of local bifurcations that it was proposed recently. A topological normal form is used as illustrative example of the method.