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

Research output: Contribution to journalJournal article


<mark>Journal publication date</mark>2000
<mark>Journal</mark>AIP Conference Proceedings
Number of pages6
Pages (from-to)488-493
<mark>Original language</mark>English


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.

Bibliographic note

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 http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.1302426

Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.