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Topological Equivalence of Local Singularities of Particular Type for Dynamical Systems with Shock Interactions

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Abstract

A theorem on topological equivalence is proved for local singularities of particular type for dynamical systems with shock interactions. The proof is based on a previously established result concerning the description of motion in the neighborhood of the specified local singularity in terms of smooth differential equations.

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Authors and Affiliations

  1. N. I. Lobachevski Nizhnii Novgorod State University, Research Institute for Applied Mathematics and Cybernetics, Russia

    S. P. Gorbikov

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  1. S. P. Gorbikov
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Gorbikov, S.P. Topological Equivalence of Local Singularities of Particular Type for Dynamical Systems with Shock Interactions. Mathematical Notes 70, 163–174 (2001). https://doi.org/10.1023/A:1010246607005

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  • DOI: https://doi.org/10.1023/A:1010246607005

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