Consistency in the driven butterfly
Chaotic Dynamics
2007-05-23 v2
Abstract
We study the consistency of the responses in the chaotic Lorenz model driven by chaotic and colored-noise signals. A measure is introduced for the consistency of the response in the system for repeated applications of the same drive signal, starting at different initial conditions of the response system. The convergence of responses is analyzed in dynamical phase space in terms of the local conditional Lyapunov exponent. The dependence of the local conditional Lyapunov exponent on drive signal, and the existence of multiple basins of consistency depending on strength of drive signal, are shown.
Keywords
Cite
@article{arxiv.nlin/0703004,
title = {Consistency in the driven butterfly},
author = {Atsushi Uchida and Kazuyuki Yoshimura and Peter Davis and Shigeru Yoshimori and Rajarshi Roy},
journal= {arXiv preprint arXiv:nlin/0703004},
year = {2007}
}
Comments
4 figures