Abstract

Conditions for the occurrence of chaos and stability in nonlinear pictorial feedback systems are investigated. We perform state space analysis of pictures with only two or three pixels and a nonmonotonic nonlinearity. These small systems already show essential properties found experimentally with large (TV) pictures: (1) coupling between adjacent pixels, by positive convolution kernels, always leads to chaos; (2) strong coupling with bipolar kernels leads to stable fixed points; (3) stable systems display spatial structure.

© 1986 Optical Society of America

Chaos and cooperation in nonlinear pictorial feedback systems. 1: Experiments

Gerd Häusler, G. Seckmeyer, and Thomas Weiss
Appl. Opt. 25(24) 4656-4663 (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)

Nonlinear dynamics of a Bragg cell under intensity feedback in the near-Bragg, four-order regime

Sundaram Ramchandran and Monish R. Chatterjee
Appl. Opt. 41(29) 6154-6167 (2002)