Nonautonomous Bifurcations in Nonlinear Impulsive Systems

AKHMET M., Kashkynbayev A.

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, vol.28, no.1, pp.177-190, 2020 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2020
  • Doi Number: 10.1007/s12591-016-0309-7
  • Journal Name: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.177-190
  • Keywords: Pullback attractors, Pitchfork bifurcation, Transcritical Bifurcation, Impulsive differential equations, COCYCLE ATTRACTORS, PITCHFORK, BEHAVIOR
  • Middle East Technical University Affiliated: Yes

Abstract

In this paper, we study existence of the bounded solutions and asymptotic behavior of an impulsive Bernoulli equations. Nonautonomous pitchfork and transcritical bifurcation scenarios are investigated. An examples with numerical simulations are given to illustrate our results.