Non-autonomous grazing phenomenon

AKHMET M., Kıvılcım A.

Nonlinear Dynamics, cilt.87, sa.3, ss.1973-1984, 2017 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 87 Sayı: 3
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1007/s11071-016-3167-5
  • Dergi Adı: Nonlinear Dynamics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1973-1984
  • Anahtar Kelimeler: Non-autonomous impulsive system, Grazing point, Linearization around a grazing solution, Periodic grazing solution, Stability, Regular perturbations, BIFURCATIONS, DYNAMICS
  • Anadolu Üniversitesi Adresli: Hayır

Özet

© 2016, Springer Science+Business Media Dordrecht.Non-autonomous grazing phenomenon is investigated through periodic systems and their solutions. The analysis is different than for autonomous systems in many aspects. Conditions for the existence of a linearization have been found. Stability of a periodic solution and its persistence under regular perturbations are investigated. Through examples, the theoretical results are visualized.