Non-autonomous grazing phenomenon

作者：Akhmet Marat^*; Kivilcim Aysegul

来源：Nonlinear Dynamics, 2017, 87(3): 1973-1984.

DOI：10.1007/s11071-016-3167-5

• Non-autonomous impulsive system
• Grazing point
• Linearization around a grazing solution
• Periodic grazing solution
• Stability
• Regular perturbations

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.

• 出版日期2017-2