Format

Send to

Choose Destination
See comment in PubMed Commons below
Phys Rev Lett. 2002 Dec 16;89(25):254101. Epub 2002 Nov 27.

Noise-induced Hopf-bifurcation-type sequence and transition to chaos in the lorenz equations.

Author information

1
Department of Electrical and Computer Engineering, EB 559, University of Florida, Gainesville 32611, USA.

Abstract

We study the effects of noise on the Lorenz equations in the parameter regime admitting two stable fixed point solutions and a strange attractor. We show that noise annihilates the two stable fixed point attractors and evicts a Hopf-bifurcation-like sequence and transition to chaos. The noise-induced oscillatory motions have very well defined period and amplitude, and this phenomenon is similar to stochastic resonance, but without a weak periodic forcing. When the noise level exceeds certain threshold value but is not too strong, the noise-induced signals enable an objective computation of the largest positive Lyapunov exponent, which characterize the signals to be truly chaotic.

PubMed Commons home

PubMed Commons

0 comments
How to join PubMed Commons

    Supplemental Content

    Full text links

    Icon for American Physical Society
    Loading ...
    Support Center