Topological equivalence of local singularities of a particular type for dynamical systems with shock interactions.

DOI10.1023/A:1010246607005zbMath1034.34031OpenAlexW296843767MaRDI QIDQ1566450

S. P. Gorbikov

Publication date: 15 June 2003

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1010246607005

zbMATH Keywords

dynamical systemstopological equivalenceshock interactionlocal singularityshock surface

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Ordinary differential equations with impulses (34A37) Dynamics of a system of particles, including celestial mechanics (70F99) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Discontinuous ordinary differential equations (34A36) Smooth dynamical systems: general theory (37C99)

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