Nonautonomous Bifurcations in Nonlinear Impulsive Systems

AKHMET M., Kashkynbayev A.

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS, cilt.28, sa.1, ss.177-190, 2020 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 1
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1007/s12591-016-0309-7
  • Dergi Adı: DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.177-190
  • Anahtar Kelimeler: Pullback attractors, Pitchfork bifurcation, Transcritical Bifurcation, Impulsive differential equations, COCYCLE ATTRACTORS, PITCHFORK, BEHAVIOR
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.