Chaos and cooperation in nonlinear pictorial feedback systems. 2

Stability

authored by

Gerd Hausler, G. Seckmeyer, Thomas Weiss

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.

Organisation(s)

Institute of Building Physics

External Organisation(s)

Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU Erlangen-Nürnberg)

Type

Article

Journal

Applied optics

Volume

25

Pages

4664-4667

No. of pages

4

ISSN

1559-128X

Publication date

15.12.1986

Publication status

Published

Peer reviewed

Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics, Engineering (miscellaneous), Electrical and Electronic Engineering

Electronic version(s)

https://doi.org/10.1364/AO.25.004664 (Access: Unknown)