Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:19PM1-A
Session:
Number:19PM1-A-2
Further Investigation for the SVD-based Analysis of Dynamical Noise on Chaos
Masaru Todoriki, Shuichi Hasegawa,
pp.473-476
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.19PM1-A-2
Summary:
We have already proposed a method to evaluate the influence of dynamical noise on chaotic systems [1]. It was demonstrated that the influence of dynamical noise on a typical chaotic system Chua’s electronic circuit can be extracted by the temporal fluctuation of singular values (TFSV) obtained from singular value decomposition (SVD), independently of the presence of measurement noise. In this study, further investigation related to this method is performed regarding the influence of data length and embedding. As a result, it is found that an adequate data length can be determined by using a new index S and the characteristics in the both cases with embedding and without embedding are shown.