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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. In: Stochastic and Chaotic Dynamics in the Lakes. American Institute of Physics, Melville, NY, pp. 488-493. ISBN 1-56396-915-7

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    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.

    Item Type: Contribution in Book/Report/Proceedings
    Additional Information: Proceedings of the Conference on Stochastic and Chaotic Dynamics (STOCHAOS), Ambleside, August, 1999.
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    Faculty of Science and Technology > Engineering
    ID Code: 31950
    Deposited By: Professor P. V. E. McClintock
    Deposited On: 08 Mar 2010 13:07
    Refereed?: No
    Published?: Published
    Last Modified: 26 Jul 2012 21:45
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/31950

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