Non-autonomous grazing phenomenon

AKHMET M., Kıvılcım A.

Nonlinear Dynamics, vol.87, no.3, pp.1973-1984, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 87 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.1007/s11071-016-3167-5
  • Journal Name: Nonlinear Dynamics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1973-1984
  • Keywords: Non-autonomous impulsive system, Grazing point, Linearization around a grazing solution, Periodic grazing solution, Stability, Regular perturbations, BIFURCATIONS, DYNAMICS
  • Anadolu University Affiliated: No

Abstract

© 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.