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Characterizing strange nonchaotic attractors. (English) Zbl 0989.37509

Aizawa, Y. (ed.) et al., Dynamical systems and chaos. Vol. 2: Physics. Proceedings of the international conference, Hachioji, Japan, May 23-27, 1994. Singapore: World Scientific. 262-265 (1995).
Summary: Two different approaches are suggested to distinguish strange and nonstrange attractors in quasiperiodically forced systems. The first is based on the study of the bifurcation phenomena of such systems, which result from periodic approximations of the quasiperiodic motion. Secondly, we propose to characterize the strangeness of these attractors by measuring the sensitivity with respect to changes of the phase of the external force.
For the entire collection see [Zbl 0990.00506].

MSC:

37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior