Chaos-Chaos Intermittency Synchronization Induced by Feedback Signals and Stochastic Noise in Coupled Chaotic Systems

Sou NOBUKAWA  Nobuhiko WAGATSUMA  Haruhiko NISHIMURA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E103-A   No.9   pp.1086-1094
Publication Date: 2020/09/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.2019EAP1160
Type of Manuscript: PAPER
Category: Nonlinear Problems
Keyword: 
chaos,  synchronization,  control,  reduced region of orbit method,  

Full Text: FreePDF(4.3MB)


Summary: 
Various types of synchronization phenomena have been reported in coupled chaotic systems. In recent years, the applications of these phenomena have been advancing for utilization in sensor network systems, secure communication systems, and biomedical systems. Specifically, chaos-chaos intermittency (CCI) synchronization is a characterized synchronization phenomenon. Previously, we proposed a new chaos control method, termed as the “reduced region of orbit (RRO) method,” to achieve CCI synchronization using external feedback signals. This method has been gathering research attention because of its ability to induce CCI synchronization; this can be achieved even if internal system parameters cannot be adjusted by external factors. Further, additive stochastic noise is known to have a similar effect. The objective of this study was to compare the performance of the RRO method and the method that applies stochastic noise, both of which are capable of inducing CCI synchronization. The results showed that even though CCI synchronization can be realized using both control methods under the induced attractor merging condition, the RRO method possesses higher adoptability and accomplishes a higher degree of CCI synchronization compared to additive stochastic noise. This advantage might facilitate the application of synchronization in coupled chaotic systems.