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Structurally stable singularities of discontinuous dynamical systems - MaRDI portal

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Structurally stable singularities of discontinuous dynamical systems (Q2704012)

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scientific article
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English
Structurally stable singularities of discontinuous dynamical systems
scientific article

    Statements

    21 January 2002
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    discontinuous dynamical system
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    piecewise smooth Hamiltonian system
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    singularities of discontinuous systems
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    Structurally stable singularities of discontinuous dynamical systems (English)
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    The present paper is devoted to a systematic investigation of piecewise smooth systems, using an analogy with the theory of smooth dynamical systems. The main subject of this study is the structure of singularities, more precisely their structural stability. The normal forms of singularities in general position on a manifold with boundary and with breaks in general position are obtained.
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