Bifurcation in a 3D Hybrid system

AKHMET M., Turan M.

Communications in Applied Analysis, cilt.14, sa.3-4, ss.311-324, 2010 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3-4
  • Basım Tarihi: 2010
  • Dergi Adı: Communications in Applied Analysis
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.311-324
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study a 3 dimensional Hybrid system which involves a switching mechanism such that at the moment of switching the differential equation that governs the mode] is changing. We first show that there is a center manifold and based on the results in [2] we show that the system under investigation has a Hopf bifurcation. An appropriate example is constructed to illustrate the theory. © Dynamic Publishers, Inc.