Grazing bifurcations in impact oscillators | Zendy

Wai Chin | Zendy; Edward Ott | Zendy; Helena E. Nusse | Zendy; Celso Grebogi | Zendy

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Grazing bifurcations in impact oscillators

Author(s) -

Wai Chin,

Edward Ott,

Helena E. Nusse,

Celso Grebogi

Publication year - 1994

Publication title -

physical review. e, statistical physics, plasmas, fluids, and related interdisciplinary topics

Language(s) - English

Resource type - Journals

eISSN - 1095-3787

pISSN - 1063-651X

DOI - 10.1103/physreve.50.4427

Subject(s) - grazing , dynamical systems theory , simple (philosophy) , statistical physics , variety (cybernetics) , bifurcation , control theory (sociology) , computer science , physics , nonlinear system , ecology , quantum mechanics , artificial intelligence , biology , philosophy , control (management) , epistemology

International audienceImpact oscillators demonstrate interesting dynamical features. In particular, new types of bifurca-tions take place as such systems evolve from a nonimpacting to an impacting state (or vice versa), as a system parameter varies smoothly. These bifurcations are called grazing bifurcations. In this paper we analyze the different types of grazing bifurcations that can occur in a simple sinusoidally forced oscilla-tor system in the presence of friction and a hard wall with which the impacts take place. The general picture we obtain exemplifies universal features that are predicted to occur in a wide variety of impact oscillator system

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