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

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