Local conditional Lyapunov exponent characterization of consistency of dynamical response of the driven Lorenz system.
Local conditional Lyapunov exponents are introduced and plotted in dynamical phase space to visualize the local susceptibility of the Lorenz system driven by chaos and noise signals when the system produces consistent response outputs. The dependence of the distribution of the local conditional Lyapunov exponent on changes in the drive signal is investigated. We consider the existence of multiple basins of consistent response for the same drive signal and the dependence of the basins on the drive signal.
Department of Information and Computer Sciences, Saitama University, 255 Shimo-Okubo, Sakura-ku, Saitama city, Saitama 338-8570, Japan.
Atsushi
A
Uchida
Kazuyuki
K
Yoshimura
Peter
P
Davis
Shigeru
S
Yoshimori
Rajarshi
R
Roy