Non-autonomous grazing phenomenon

Date

2017-02-01

Author

Akhmet, Marat

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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.

Subject Keywords

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

URI

https://hdl.handle.net/11511/47252

Journal

NONLINEAR DYNAMICS

DOI

https://doi.org/10.1007/s11071-016-3167-5

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Non-autonomous grazing phenomenon,” NONLINEAR DYNAMICS, pp. 1973–1984, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/47252.