Design strategies for the creation of aperiodic nonchaotic attractors

Nandi, Amitabha ; Bhowmick, Sourav K. ; Dana, Syamal K. ; Ramaswamy, Ram (2009) Design strategies for the creation of aperiodic nonchaotic attractors Chaos: An Interdisciplinary Journal of Nonlinear Science, 19 (3). Article ID 033116. ISSN 1054-1500

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Official URL: http://scitation.aip.org/content/aip/journal/chaos...

Related URL: http://dx.doi.org/10.1063/1.3194250

Abstract

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 pseudorandom binary sequences with arbitrarily long recurrence times. As a consequence the attractors are geometrically fractal and the motion is aperiodic on experimentally accessible time scales. A practical realization of such attractors is demonstrated in an experiment using electronic circuits.

Item Type:Article
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Deposited On:20 May 2015 11:21
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