Global bifurcations in a class of discontinuous piecewise linear systems

Juan Castillo; Fernando Verduzco

doi:10.1007/978-3-319-55642-0_6

Global bifurcations in a class of discontinuous piecewise linear systems

Juan Castillo^*, Fernando Verduzco

^*Corresponding author for this work

Departamento de Matemáticas

Research output: Contribution to journal › Article › peer-review

Abstract

In this work, we show some global bifurcations for a class of threedimensional discontinuous piecewise linear (DPWL) systems having a unique twofold point of visible-invisible type.We consider the simplest case of DPWL systems, with two vector fields separated by a switching plane with a unique equilibrium point in each half-space.

Original language	English
Pages (from-to)	31-35
Number of pages	5
Journal	Trends in Mathematics
Volume	8
DOIs	https://doi.org/10.1007/978-3-319-55642-0_6
State	Published - 2017

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© Springer International Publishing AG 2017.

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abstract = "In this work, we show some global bifurcations for a class of threedimensional discontinuous piecewise linear (DPWL) systems having a unique twofold point of visible-invisible type.We consider the simplest case of DPWL systems, with two vector fields separated by a switching plane with a unique equilibrium point in each half-space.",

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AB - In this work, we show some global bifurcations for a class of threedimensional discontinuous piecewise linear (DPWL) systems having a unique twofold point of visible-invisible type.We consider the simplest case of DPWL systems, with two vector fields separated by a switching plane with a unique equilibrium point in each half-space.

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JO - Trends in Mathematics

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Global bifurcations in a class of discontinuous piecewise linear systems

Abstract

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