Lobachevskii Journal of Mathematics

, Volume 38, Issue 5, pp 921–925 | Cite as

Stable regimes of dynamic systems with impulsive influences

Article

Abstract

Let us consider a mathematical model of dynamic system, which is presented as a chain of three connected, singularly perturbed nonlinear differential equations. In the further text there were researched the questions of existence and stability of periodic solutions of this system due to a bifurcational analysis of special two-dimensional map. Also the special attention is paid to the number of coexisting stable regimes.

Keywords and phrases

Phase portraits stable regimes bifurcations 

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Copyright information

© Pleiades Publishing, Ltd. 2017

Authors and Affiliations

  1. 1.Yaroslavl State UniversityYaroslavlRussia
  2. 2.Scientific Center in Chernogolovka of Russian Academy of SciencesChernogolovka, Moscow oblastRussia

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