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JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2001 Volume 70, Issue 2, Pages 181–194 (Mi mzm732)

This article is cited in 2 papers

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

S. P. Gorbikov

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

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.

UDC: 517.938.5

Received: 03.12.1999
Revised: 30.11.2000

DOI: 10.4213/mzm732


 English version:
Mathematical Notes, 2001, 70:2, 163–174

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© Steklov Math. Inst. of RAS, 2026