Non-autonomous grazing phenomenon

Marat Akhmet; Ayşegül Kıvılcım

doi:10.1007/s11071-016-3167-5

Non-autonomous grazing phenomenon

Marat Akhmet^*, Ayşegül Kıvılcım

^*Corresponding author for this work

Research output: Contribution to journal › Journal article › Research › peer-review

2 Citations (Scopus)

Abstract

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.

Original language	English
Journal	Nonlinear Dynamics
Volume	87
Issue number	3
Pages (from-to)	1973-1984
Number of pages	12
ISSN	0924-090X
DOIs	https://doi.org/10.1007/s11071-016-3167-5
Publication status	Published - 1 Feb 2017

Bibliographical note

Publisher Copyright:
© 2016, Springer Science+Business Media Dordrecht.

Keywords

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

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KW - Non-autonomous impulsive system

KW - Periodic grazing solution

KW - Regular perturbations

KW - Stability

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Non-autonomous grazing phenomenon

Abstract

Bibliographical note

Keywords

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