A Plethora of Strange Nonchaotic Attractors

Details A Plethora of Strange Nonchaotic Attractors A Plethora of Strange Nonchaotic Attractors

2001-05-06

arxiv.org/abs/nlin/0105011v1

Pramana J. Phys. vol. 56, 47-56 (2001); http://www.ias.ac.in/pramana/jan2001/p5319.htm

Nonlinear Sciences

Chaotic Dynamics

16 Pages, 3 figs, two in eps format and one in gif format

Scientific paper

We show that it is possible to devise a large class of skew--product dynamical systems which have strange nonchaotic attractors (SNAs): the dynamics is asymptotically on fractal attractors and the largest Lyapunov exponent is nonpositive. Furthermore, we show that quasiperiodic forcing, which has been a hallmark of essentially allhitherto known examples of such dynamics is {\it not} necessary for the creation of SNAs.

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