A plethora of strange nonchaotic attractors

SURENDRA SINGH NEGI and RAMAKRISHNA RAMASWAMY

School of Physical Sciences, Jawaharlal Nehru University, New Delhi 110 067, India

Abstract.

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 non-positive. Furthermore, we show that quasiperiodic forcing, which has been a hallmark of essentially all hitherto known examples of such dynamics is  not necessary for the creation of SNAs.

Keywords: Strange attractors; Lyapunov exponent; nonchaotic; fractals.

Pacs Nos. 05.45.+b; 42.10