Abstract

We study the behavior of pictures which circulate through a feedback loop containing a sequence of nonlinearity and convolution. Experiments and theoretical investigations show that deterministic chaos may appear as well as cooperative effects. The latter manifest themselves in the formation of stable patterns with long-range spatial correlation. These patterns show structural similarity to the initial picture. Furthermore, they are stable even in a system with noise; in other words, they show autoassociative properties.

© 1986 Optical Society of America

Chaos and cooperation in nonlinear pictorial feedback systems. 2: Stability

Gerd Häusler, G. Seckmeyer, and Thomas Weiss
Appl. Opt. 25(24) 4664-4667 (1986)

Chaos and cooperation in nonlinear pictorial feedback systems. 3: Quantized feedback systems

Gerd Häusler, G. Seckmeyer, and Thomas Weiss
Appl. Opt. 25(24) 4668-4672 (1986)

Feedback network with space invariant coupling

Gerd Häusler and Eberhard Lange
Appl. Opt. 29(32) 4798-4805 (1990)

Electro-optic chaotic system based on the reverse-time chaos theory and a nonlinear hybrid feedback loop

Xingxing Jiang, Mengfan Cheng, Fengguang Luo, Lei Deng, Songnian Fu, Changjian Ke, Minming Zhang, Ming Tang, Ping Shum, and Deming Liu
Opt. Express 24(25) 28804-28814 (2016)

Cooperative frequency locking and spatiotemporal chaos in a photorefractive oscillator

Jun Zhuang and Weihan Tan
J. Opt. Soc. Am. B 15(8) 2249-2254 (1998)