Volume 12, Issue 4 pp. 341-357

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

Tetsuya Kawata

Corresponding Author

Tetsuya Kawata

Kyushu Institute of Technology, 680 Iizuka, Fukuoka 820, Japan; Phone: +81-948-29-7715; Fax: +81-948-29-7709

Kyushu Institute of Technology, 680 Iizuka, Fukuoka 820, Japan; Phone: +81-948-29-7715; Fax: +81-948-29-7709Search for more papers by this author
Takehiko Horita

Takehiko Horita

Tokyo University, 3-1 hongo 7-chome, bunkyo-ku, Tokyo 113, Japan; Phone: +3-3812-2111

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Saburo Terachi

Saburo Terachi

Hokkaido Institute of Technology, Maeda, Teine-ku, Sapporo 006, Japan; Phone: +81-01-681-2161; Fax: +81-01-681-3622, Japan

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Hitoshi Fujii

Hitoshi Fujii

Kyushu Institute of Technology, 680 Iizuka, Fukuoka 820, Japan; Phone: +81-948-29-7715; Fax: +81-948-29-7709

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Abstract

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.

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