Design strategies for the creation of aperiodic nonchaotic attractors

Date
Authors
Nandi, Amitabha
Bhowmick, Sourav K.
Dana, Syamal K.
Ramaswamy, Ram
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Description
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.
Comment: 9 pages. CHAOS, In Press, (2009)
Keywords
Nonlinear Sciences - Chaotic Dynamics
Citation
Collections