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

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Phänomenologie 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.
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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.
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