This paper deals with the dynamics of multiple friction oscillators. In some particular cases, when the driving velocity is small, the dynamics of the systems can be described by low-dimensional discrete maps which allow all existing attractors and their basins of attraction to be detected. Moreover the maps allow the relevant Lyapunov exponents to be computed and the classical path following techniques to be applied. The complex dynamics of the systems is clearly illustrated. (C) 1999 Elsevier Science S.A. All rights reserved.
机构:
Univ Paris Est, LPMDI, F-77454 Marne La Vallee, FranceUniv Paris 06, INSP, CNRS, UMR 7588, F-75005 Paris, France
Lespiat, Remi
Hoehler, Reinhard
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机构:
Univ Paris 06, INSP, CNRS, UMR 7588, F-75005 Paris, France
Univ Paris Est, LPMDI, F-77454 Marne La Vallee, FranceUniv Paris 06, INSP, CNRS, UMR 7588, F-75005 Paris, France