CONVERSION OF A CHAOTIC ATTRACTOR INTO A STRANGE NONCHAOTIC ATTRACTORIN AN ONE-DIMENSIONAL MAP AND BVP OSCILLATOR

In this paper we investigate numerically the possibility of conversion of a chaotic attractor into a nonchaotic but strange attractor in bot h a discrete system (an one dimensional map) and in a continuous dynam ical system - Bonhoeffer-van der Pol oscillator. In these systems we s how suppression of chaotic property, namely, the sensitive dependence on initial states, by adding appropriate i) chaotic signal and ii) Gau ssian white noise. The controlled orbit is found to be strange but non chaotic with largest Lyapunov exponent negative and noninteger correla tion dimension. Return map and power spectrum are also used to charact erize the strange nonchaotic attractor.