Finite-time nonautonomous bifurcation in impulsive systems
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016 (SCI-Expanded, Scopus)
- 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.