Finite-time nonautonomous bifurcation in impulsive systems

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.

Keywords

• nonautonomous bifurcation theory
• impulsive differential equations
• finite-time dynamics
• pitchfork bifurcation
• transcritical bifurcation