NDLI: Passivity and complexity

Content Provider	IEEE Xplore Digital Library
Author	Chua, L.O.
Copyright Year	1992
Abstract	Nature abounds with complex patterns and structures emerging from homogeneous media operating far from thermodynamic equilibrium. Such phenomena, which are widely observed in both inanimate (nonbiological) and biological media, can be modeled and studied via the CNN (cellular neural/nonlinear network) paradigm in an in-depth and unified way. Whether a homogeneous medium is capable of exhibiting complexity depends on whether the CNN cells, or its couplings, are locally active in a precise circuit-theoretic sense. This local activity principle is of universal generality and is responsible for all symmetry breaking phenomena observed in a great variety of nonequilibrium media ranging from the nucleation of domain oscillations in bulk semiconductor materials (e.g., gallium arsenide in Gunn diodes) to the emergence of artificial life itself. The long forgotten yet classic P. R. (positive real) criteria is resurrected and given new prominence in this paper by invoking its "negative" version and deriving a set of analytical inequalities for calculating the parameter range necessary for the emergence of a nonhomogeneous static or dynamic pattern in a homogeneous medium operating under an influx of energy and/or matter. The resulting "complexity related" inequalities are applicable to all media, continuous or discrete, which have been mapped into a CNN paradigm.
Starting Page	71
Ending Page	82
Page Count	12
File Size	927414
File Format	PDF
ISSN	10577122
Volume Number	46
Issue Number	1
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	1999-01-01
Publisher Place	U.S.A.
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Cellular neural networks Thermodynamics Biological system modeling Cellular networks Coupling circuits Local activities Semiconductor materials Gallium arsenide Gunn devices Semiconductor diodes
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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