NOISE-INDUCED ESCAPE FROM THE LORENZ ATTRACTOR-Reference-Cited by-同舟云学术

NOISE-INDUCED ESCAPE FROM THE LORENZ ATTRACTOR

Published:2001-03 Issue:01 Volume:01 Page:L27-L33
ISSN:0219-4775
Container-title:Fluctuation and Noise Letters
language:en
Short-container-title:Fluct. Noise Lett.

Author:

ANISHCHENKO V. S.¹,KHOVANOV I. A.¹,KHOVANOVA N. A.¹,LUCHINSKY D. G.²,McCLINTOCK P. V. E.²

Affiliation:

1. Physics Department, Saratov State University, Astrakhanskaya str. 83, 410026 Saratov, Russia

2. Department of Physics, Lancaster University, Lancaster, LA1 4YB, UK

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219477501000111

Reference21 articles.

1. Nonequilibrium potentials for dynamical systems with fractal attractors or repellers

2. A nonrandom dynamic component in the synaptic noise of a central neuron

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