Finite-time nonautonomous bifurcation in impulsive systems

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AKHMET M. , Kashkynbayev A.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016 (Journal Indexed in SCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2016
  • Doi Number: 10.14232/ejqtde.2016.8.1
  • Title of Journal : ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS

Abstract

The purpose of this article is to investigate nonautonomous bifurcation in impulsive differential equations. The impulsive finite-time analogues of transcritical and pitchfork bifurcation are provided. An illustrative example is given with numerical simulations which support theoretical results.