Finite-time nonautonomous bifurcation in impulsive systems

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AKHMET M., Kashkynbayev A.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016 (SCI-Expanded)

• Publication Type: Article / Article
• Publication Date: 2016
• Doi Number: 10.14232/ejqtde.2016.8.1
• Journal Name: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Keywords: nonautonomous bifurcation theory, impulsive differential equations, finite-time dynamics, pitchfork bifurcation, transcritical bifurcation, PITCHFORK
• Open Archive Collection: AVESIS Open Access Collection
• Middle East Technical University Affiliated: Yes

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.