| Document Type
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BL
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| Record Number
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772399
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| Doc. No
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b592393
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| Main Entry
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by Eric Goles and Servet Martinez.
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| Title & Author
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Neural and automata networks : : dynamical behavior and applications\ by Eric Goles and Servet Martinez.
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| Publication Statement
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Dordrecht, The Netherlands ; Boston, [Massachusetts] ; London, [England] : Kluwer Academic Publishers, 1991. ©1990
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| Series Statement
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Mathematics and its applications (Kluwer Academic Publishers), Volume 58.
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| Page. NO
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(264 p.).
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| ISBN
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9400905297
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: 9789400905290
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| Notes
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Bibliographic Level Mode of Issuance: Monograph.
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| Contents
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1. Automata Networks --; 1.1. Introduction --; 1.2. Definitions Regarding Automata Networks --; 1.3. Cellular Automata --; 1.4. Complexity Results for Automata Networks --; 1.5. Neural Networks --; 1.6. Examples of Automata Networks --; 2. Algebraic Invariants on Neural Networks --; 2.1. Introduction --; 2.2. K-Chains in 0-1 Periodic Sequences --; 2.3. Covariance in Time --; 2.4. Algebraic Invariants of Synchronous Iteration on Neural Networks --; 2.5. Algebraic Invariants of Sequential Iteration on Neural Networks --; 2.6. Block Sequential Iteration on Neural Networks --; 2.7. Iteration with Memory --; 2.8. Synchronous Iteration on Majority Networks --; 3. Lyapunov Functionals Associated to Neural Networks --; 3.1. Introduction --; 3.2. Synchronous Iteration --; 3.3. Sequential Iteration --; 3.4. Tie Rules for Neural Networks --; 3.5. Antisymmetrical Neural Networks --; 3.6. A Class of Symmetric Networks with Exponential Transient Length for Synchronous Iteration --; 3.7. Exponential Transient Classes for Sequential Iteration --; 4. Uniform One and Two Dimensional Neural Networks --; 4.1. Introduction --; 4.2. One-Dimensional Majority Automata --; 4.3. Two-Dimensional Majority Cellular Automata --; 4.4. Non-Symmetric One-Dimensional Bounded Neural Networks --; 4.5. Two-Dimensional Bounded Neural Networks --; 5. Continuous and Cyclically Monotone Networks --; 5.1. Introduction --; 5.2. Positive Networks --; 5.3. Multithreshold Networks --; 5.4. Approximation of Continuous Networks by Multithreshold Networks --; 5.5. Cyclically Monotone Networks --; 5.6. Positive Definite Interactions. The Maximization Problem --; 5.7. Sequential Iteration for Decreasing Real Functions and Optimization Problems --; 5.8. A Generalized Dynamics --; 5.9. Chain-Symmetric Matrices --; 6. Applications on Thermodynamic Limits on the Bethe Lattice --; 6.1. Introduction --; 6.2. The Bethe Lattice --; 6.3. The Hamiltonian --; 6.4. Thermodynamic Limits of Gibbs Ensembles --; 6.5. Evolution Equations --; 6.6. The One-Site Distribution of the Thermodynamic Limits --; 6.7. Distribution of the Thermodynamic Limits --; 6.8.Period ? 2 Limit Orbits of Some Non Linear Dynamics on
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| Subject
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Cellular automata.
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| Subject
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Computer networks.
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| Subject
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Neural computers.
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| LC Classification
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QA267.5.C45B947 9999
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| Added Entry
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E Golès
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Servet Martínez
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