Details
| Original language | English |
|---|---|
| Pages (from-to) | 4664-4667 |
| Number of pages | 4 |
| Journal | Applied optics |
| Volume | 25 |
| Issue number | 24 |
| Publication status | Published - 15 Dec 1986 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Atomic and Molecular Physics, and Optics
- Engineering(all)
- Engineering (miscellaneous)
- Engineering(all)
- Electrical and Electronic Engineering
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In: Applied optics, Vol. 25, No. 24, 15.12.1986, p. 4664-4667.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Chaos and cooperation in nonlinear pictorial feedback systems. 2
T2 - Stability
AU - Hausler, Gerd
AU - Seckmeyer, G.
AU - Weiss, Thomas
N1 - Copyright: Copyright 2016 Elsevier B.V., All rights reserved.
PY - 1986/12/15
Y1 - 1986/12/15
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0000787027&partnerID=8YFLogxK
U2 - 10.1364/AO.25.004664
DO - 10.1364/AO.25.004664
M3 - Article
AN - SCOPUS:0000787027
VL - 25
SP - 4664
EP - 4667
JO - Applied optics
JF - Applied optics
SN - 1559-128X
IS - 24
ER -