Through the looking-glass of the grazing bifurcation

S. Kryzhevich, J. Ing, M. Wiercigroch

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

It is well-known that for vibro-impact systems an existence of a periodic solution with a low-velocity impact (so-called grazing) may yield a complex behavior of solutions. Slightly changing the parameters of a system with grazing, we may obtain a periodic solution which passes near the delimiter without touching it. In this paper we show that sometimes existence of these solutions can provide chaos.
Original languageEnglish
Title of host publicationIEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings
PublisherIEEE Press
Pages69-74
Number of pages6
ISBN (Print)9781467327039
DOIs
Publication statusPublished - 1 Jan 2012

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Grazing Bifurcation
Periodic Solution
Behavior of Solutions
Existence of Solutions
Chaos
Glass

Cite this

Kryzhevich, S., Ing, J., & Wiercigroch, M. (2012). Through the looking-glass of the grazing bifurcation. In IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings (pp. 69-74). IEEE Press. https://doi.org/10.1109/NSC.2012.6304728

Through the looking-glass of the grazing bifurcation. / Kryzhevich, S.; Ing, J.; Wiercigroch, M.

IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. IEEE Press, 2012. p. 69-74.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Kryzhevich, S, Ing, J & Wiercigroch, M 2012, Through the looking-glass of the grazing bifurcation. in IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. IEEE Press, pp. 69-74. https://doi.org/10.1109/NSC.2012.6304728
Kryzhevich S, Ing J, Wiercigroch M. Through the looking-glass of the grazing bifurcation. In IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. IEEE Press. 2012. p. 69-74 https://doi.org/10.1109/NSC.2012.6304728
Kryzhevich, S. ; Ing, J. ; Wiercigroch, M. / Through the looking-glass of the grazing bifurcation. IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings. IEEE Press, 2012. pp. 69-74
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