Through the looking-glass of the grazing bifurcation

S. Kryzhevich; J. Ing; M. Wiercigroch

doi:10.1109/NSC.2012.6304728

Through the looking-glass of the grazing bifurcation

S. Kryzhevich, J. Ing, M. Wiercigroch

St. Petersburg State University

Research output: Chapter in Book/Report/Conference proceeding › Published conference 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 language	English
Title of host publication	IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings
Publisher	IEEE Press
Pages	69-74
Number of pages	6
ISBN (Print)	9781467327039
DOIs	https://doi.org/10.1109/NSC.2012.6304728
Publication status	Published - 1 Jan 2012

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AB - 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.

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BT - IEEE 4th International Conference on Nonlinear Science and Complexity, NSC 2012 - Proceedings

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Through the looking-glass of the grazing bifurcation

Abstract

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