Temporal fluctuation of singular values caused by dynamical noise in chaos.
We propose a method to evaluate the influence of dynamical noise on chaotic systems. For Chua's electronic circuit as a typical chaotic system, it is demonstrated that dynamical noise influences the temporal fluctuation of singular values obtained from singular value decomposition. This behavior, however, is independent of additional measurement noise. The appearance of this fluctuation is compared to Shannon entropy of coarse-grained trajectories in its dependence on the noise amplitude. Additionally, noise-induced stabilization is discussed from the change of a pattern of a flip-flop process.
Todoriki
Masaru
M
Department of Quantum Engineering and Systems Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-8656, Japan. todoriki@q.t.u-tokyo.ac.jp
Nagayoshi
Hiroyuki
H
Suzuki
Atsuyuki
A