Effect of noise on chaotic behavior in Roessler-type nonlinear system

• Published in: International journal of intelligent systems Vol. 12; no. 4; pp. 341 - 357
• Main Authors: Kawata, Tetsuya, Horita, Takehiko, Terachi, Saburo, Fujii, Hitoshi
• Format: Journal Article
• Language: English
• Published: New York Wiley Subscription Services, Inc., A Wiley Company 01-04-1997
• ISSN: 0884-8173; 1098-111X
• DOI: 10.1002/(SICI)1098-111X(199704)12:4<341::AID-INT6>3.0.CO;2-O

The effects of noise on chaotic behaviors of a nonlinear dynamic model were described from a point of view of the system analysis and the previous studies associated with chaos and noise were reviewed as well. The quasi‐white noise was used as the observation noise as well as the system noise to clarify the deterioration of the chaotic patterns of the Roessler model. The effects of the noise intensity on the chaotic signal were observed through the deformation of the attractors, increase of the correlation dimension, and change of the maximum Lyapunov exponent. It has been found that the deterioration of the chaotic patterns is more pronounced in the case of the observation noise than the system noise for the Roessler model. As an example of noisy time series data, the laser speckles time series data was employed and discussed from the point of view of the necessity of noise reduction and possible chaos extraction. © 1997 John Wiley & Sons, Inc.