The role of noise in forming the dynamics of a quasiperiodic system

Khovanova, N. A. and Khovanov, I. A. and Anishchenko, V. S. and McClintock, Peter V. E. (2000) The role of noise in forming the dynamics of a quasiperiodic system. AIP Conference Proceedings, 502. pp. 488-493. ISSN 0094-243X

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The dynamical properties of the quasiperiodic logistic map with and without a very weak noise are compared, and the influence of noise on its strange nonchaotic attractor (SNA) is investigated. It is found that, in the presence of weak noise, the largest Lyapunov exponent gives misleading information about the dynamical properties of the attractor. We have shown that, in the presence of noise, the properties of strangeness and chaos are invariably associated, so that SNAs are not then observed during the transition to chaos from the torus.

Item Type:
Journal Article
Journal or Publication Title:
AIP Conference Proceedings
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Copyright 2000 American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in AIP Conference Proceedings, 502, 2000 and may be found at Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.
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Deposited On:
08 Mar 2010 13:07
Last Modified:
18 Oct 2023 00:56