Titlebook: Disordered Systems and Biological Organization; Proceedings of the N E. Bienenstock,F. Fogelman Soulié,G. Weisbuch Conference proceedings 1

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Ph?nomenologie der schwachen WechselwirkungIn this paper, we introduce the concept of . to study the dynamical behavior of automata networks. This notion, classical in continuous dynamical systems, has proved very useful for discrete systems as well.

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Lyapunov Functions and Their USE in Automata NetworksIn this paper, we introduce the concept of . to study the dynamical behavior of automata networks. This notion, classical in continuous dynamical systems, has proved very useful for discrete systems as well.

thalamus

Dictation

Cellular Automata Models of Disorder And Organizationpplied to a variety of concepts from physics and chemistry[2]. They are in fact versatile enough to offer analogies with almost all the themes discussed at this meeting (in particular: self-organization, dissipative systems, spatial vs. thermal fluctuations, neural networks, optimization, ergodicity-breaking, and ultrametricity)

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Inhomogeneous Cellular Automata (INCA)any one site at time . + 1 is determined by the values taken at time . by the neighboring sites. (For reviews, see Vichniac, this volume, and references therein.) These systems are homogeneous in the sense that all sites evolve according to the same transition rule.

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Dynamical Properties of An Automaton with Memorythe system and obtained the following discrete iteration scheme, in order to simulate the response of a single neuron: k-1 . where x. belongs to (0,1), a. and b are real parameters, k, the size of the memory, a given integer and . (u) is 1 if u is non negative and 0 otherwise.