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Extended Abstracts Spring 2016 pp 31–35Cite as

Birkhäuser

Global Bifurcations in a Class of Discontinuous Piecewise Linear Systems

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Part of the book series: Trends in Mathematics ((RPCRMB,volume 8))

Abstract

In this work, we show some global bifurcations for a class of three-dimensional discontinuous piecewise linear (DPWL) systems having a unique two-fold 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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References

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Universidad de Sonora, Hermosillo, México

    Juan Castillo & Fernando Verduzco

Authors
  1. Juan Castillo
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  2. Fernando Verduzco
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Corresponding author

Correspondence to Juan Castillo .

Editor information

Editors and Affiliations

  1. DEIB, Politecnico di Milano , Milano, Italy

    Alessandro Colombo

  2. Department of Engineering Mathematics, University of Bristol , BRISTOL, Avon, United Kingdom

    Mike Jeffrey

  3. Departament de Matemàtiques, Universitat Politècnica de Catalunya , Barcelona, Spain

    J. Tomàs Lázaro

  4. Departament de Matemàtiques, Universitat Politècnica de Catalunya, Barcelona, Spain

    Josep M. Olm

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Castillo, J., Verduzco, F. (2017). Global Bifurcations in a Class of Discontinuous Piecewise Linear Systems. In: Colombo, A., Jeffrey, M., Lázaro, J., Olm, J. (eds) Extended Abstracts Spring 2016. Trends in Mathematics(), vol 8. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-55642-0_6

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