Design strategies for the creation of aperiodic nonchaotic attractors

Details Design strategies for the creation of aperiodic nonchaotic attractors Design strategies for the creation of aperiodic nonchaotic attractors

2009-07-23

arxiv.org/abs/0907.3993v1

Nonlinear Sciences

Chaotic Dynamics

9 pages. CHAOS, In Press, (2009)

Scientific paper

Parametric modulation in nonlinear dynamical systems can give rise to attractors on which the dynamics is aperiodic and nonchaotic, namely with largest Lyapunov exponent being nonpositive. We describe a procedure for creating such attractors by using random modulation or pseudo-random binary sequences with arbitrarily long recurrence times. As a consequence the attractors are geometrically fractal and the motion is aperiodic on experimentally accessible timescales. A practical realization of such attractors is demonstrated in an experiment using electronic circuits.

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