NON-AUTONOMOUS BIFURCATION IN IMPULSIVE SYSTEMS

AKHMET M., Kashkynbayev A.

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, sa.74, ss.1-23, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2013
  • Dergi Adı: ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1-23
  • Anahtar Kelimeler: Non-autonomous bifurcation theory, impulsive differential equations, attractive solution, repulsive solution, pitchfork bifurcation, transcritical bifurcation, COCYCLE ATTRACTORS, PITCHFORK, BEHAVIOR
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed. We consider scalar differential equation with fixed moments of impulses. It is illustrated by means of certain systems how the idea of pullback attracting sets remains a fruitful concept in the impulsive systems. Basics of the theory are provided.