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

Research output: Contribution in Book/Report/ProceedingsChapter

Published

Publication date2000
Host publicationStochastic and Chaotic Dynamics in the Lakes
EditorsD. S. Broomhead, E. A. Luchinskaya, Peter V. E. McClintock, T. Mullin
Place of publicationMelville, NY
PublisherAmerican Institute of Physics
Pages488-493
Number of pages6
VolumeAIP Co
ISBN (Print)1-56396-915-7
Original languageEnglish

Abstract

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

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