Periodic motions generated from non-autonomous grazing dynamics


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AKHMET M. , Kivilcim A.

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, cilt.49, ss.48-62, 2017 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 49
  • Basım Tarihi: 2017
  • Doi Numarası: 10.1016/j.cnsns.2017.02.002
  • Dergi Adı: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
  • Sayfa Sayıları: ss.48-62

Özet

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. (C) 2017 Elsevier B.V. All rights reserved.