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Ukrainian Mathematical Journal

, Volume 56, Issue 1, pp 135–147 | Cite as

Qualitative Investigation of Discontinuous Dynamical Systems on a Plane by the Method of Pointwise Mappings

  • V. I. Urmanchev
Article
  • 18 Downloads

Abstract

For two-dimensional discontinuous dynamical systems, we investigate properties of the Poincaré map by the method of pointwise mappings and establish a criterion for the stability of n-impulse cycles and an estimate for the number of sinks.

Keywords

Dynamical System Qualitative Investigation Discontinuous Dynamical System Discontinuous Dynamical Pointwise Mapping 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2004

Authors and Affiliations

  • V. I. Urmanchev
    • 1
  1. 1.Institute of Mathematics, Ukrainian Academy of SciencesKiev

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