Lancaster EPrints

Noise-induced escape from the Lorenz attractor

Anishchenko, V. S. and Khovanov, I. A. and Khovanova, N. A. and Luchinsky, D. G. and McClintock, Peter V. E. (2001) Noise-induced escape from the Lorenz attractor. Fluctuation and Noise Letters, 1 (1). L27-L33. ISSN 0219-4775

[img]
Preview
PDF (fnl_l2ePostPrint) - Submitted Version
Download (356Kb) | Preview

    Abstract

    Noise-induced escape from a quasi-hyperbolic attractor in the Lorenz system is investigated via an analysis of the distributions of both the escape trajectories and the corresponding realizations of the random force. It is shown that a unique escape path exists, and that it consists of three parts with noise playing a different role in each. It is found that the mechanism of the escape from a quasi-hyperbolic attractor differs from that of escape from a non-hyperbolic attractor. The possibility of calculating the escape probability is discussed.

    Item Type: Article
    Journal or Publication Title: Fluctuation and Noise Letters
    Additional Information: Date of Acceptance: 20/03/2001 Electronic version of this article published as NOISE-INDUCED ESCAPE FROM THE LORENZ ATTRACTOR V. S. ANISHCHENKO, I. A. KHOVANOV, N. A. KHOVANOVA, D. G. LUCHINSKY, P. V. E. McCLINTOCK in Fluctuation and Noise Letters, 1, 1, 2001, L27-L33 10.1142/S0219477501000111 © copyright World Scientific Publishing Company http://www.worldscientific.com/toc/fnl/01/01]
    Uncontrolled Keywords: Noise-induced escape ; quasi-hyperbolic attractor ; non-equilibrium fluctuations ; prehistory probability distribution
    Subjects: Q Science > QC Physics
    Departments: Faculty of Science and Technology > Physics
    ID Code: 31822
    Deposited By: Professor P. V. E. McClintock
    Deposited On: 19 Feb 2010 11:10
    Refereed?: Yes
    Published?: Published
    Last Modified: 18 Jun 2015 05:26
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/31822

    Actions (login required)

    View Item