Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:17PM1-D
Session:
Number:17PM1-D-1
Consistency in driven nonlinear systems
Atsushi Uchida, Shigeru Yoshimori, Rajarshi Roy,
pp.39-42
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.17PM1-D-1
Summary:
We introduce a viewpoint of consistency in non-autonomous nonlinear dynamical systems. We use the Lorenz model driven by chaos and colored noise signals. Consistent behavior is observed even though the system is in a chaotic motion. The occurrence of consistency can be evaluated by the conditional Lyapunov exponent. We visualize contraction and expansion regions on the driven trajectory in the phase space by using the local conditional Lyapunov exponents. The distribution of the local conditional Lyapunov exponents is plotted when the drive amplitude is increased, and the transition of the emergence of consistency is found. Multiple basins of consistency are also investigated.