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Stability conditions in piecewise smooth dynamical systems at a two-fold singularity

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Abstract

Some qualitative and geometric aspects of 3-dimensional non-smooth vector fields theory are discussed. Our main aim is to study the dynamics near typical singularities of piecewise smooth dynamical systems, the so-called two-fold singularities. More specifically, we are interested in discussing stability problems of such systems around these singularities.

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Authors and Affiliations

  1. Institut de Mathématiques de Bourgogne UMR CNRS 5584, Universitéde Bourgogne, Dijon, France

    A. Jacquemard

  2. Departamento de Matemática IMECC, Universidade Estadual de Campinas Rua Sérgio Buarque de Holanda 651, Cidade Universitária - Barão, Geraldo, 6065 Campinas, SP, Brazil

    M. A. Teixeira

  3. Departamento de Matemática IME, Universidade Federal de Goiás, CEP, 74001-970, Caixa Postal 131, Goiânia, GO, Brazil

    D. J. Tonon

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  1. A. Jacquemard
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  2. M. A. Teixeira
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  3. D. J. Tonon
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Correspondence to A. Jacquemard.

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Jacquemard, A., Teixeira, M.A. & Tonon, D.J. Stability conditions in piecewise smooth dynamical systems at a two-fold singularity. J Dyn Control Syst 19, 47–67 (2013). https://doi.org/10.1007/s10883-013-9164-9

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  • DOI: https://doi.org/10.1007/s10883-013-9164-9

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