Periodic motions generated from non-autonomous grazing dynamics

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2017-08-01

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Akhmet, Marat

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This paper examines impulsive non-autonomous systems with grazing periodic solutions. Surfaces of discontinuity and impact functions of the systems are not depending on the time variable. That is, we can say that the impact conditions are stationary, and this makes necessity to study the problem in a new way. The models play exceptionally important role in mechanics and electronics. A concise review on the sufficient conditions for the new type of linearization is presented. The existence and stability of periodic solutions are considered under the circumstance of the regular perturbation. To visualize the theoretical results, mechanical examples are presented.

Subject Keywords

Non-autonomous impulsive systems, Grazing periodic solutions, Regular perturbations, Impact mechanisms

URI

https://hdl.handle.net/11511/38448

Journal

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

DOI

https://doi.org/10.1016/j.cnsns.2017.02.002

Collections

Department of Mathematics, Article

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Citation Formats

M. Akhmet, “Periodic motions generated from non-autonomous grazing dynamics,” COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, pp. 48–62, 2017, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/38448.