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proceedings of the Workshop on Nonlinear Phenomena in Complex Systems, Mar del Plata, Argentina, November 1-14, 1988
Workshop on Nonlinear Phenomena in Complex Systems (1988 : Mar del Plata, Argentina)
Argentine Workshop on Non-Equilibrium Statistical Mechanics and Non-linear Physics 1988 : Mar del Plata, Argentina)
Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.
1 online resource (vii, 255 pages) : illustrations
This book contains a thorough treatment of neural networks, cellular-automata and synergetics, in an attempt to provide three different approaches to nonlinear phenomena in complex systems. These topics are of major interest to physicists active in the fields of statistical mechanics and dynamical systems. They have been developed with a high degree of sophistication and include the refinements necessary to work with the complexity of real systems as well as the more recent research developments in these areas.
Front Cover; Nonlinear Phenomena in Complex Systems; Copyright Page; Preface; Introduction; Table of Contents; Chapter 1. Introduction to neural networks; 1. ELEMENTS OF NEUROBIOLOGY; 2. INTRODUCTION TO NEURAL MODELING: DYNAMICS OF PULSE CODING; 3. MEMORY AND LEARNING IN NEURAL NETWORKS; 4. INTRODUCTION TO MODELING: DYNAMICS OF FREQUENCY CODING; 5. NOISY NEURAL NETWORKS; 6. ISSUES AND OPPORTUNITIES; ACKNOWLEDGMENTS; REFERENCES; Chapter 2. A short coures on synergetics; 1. INTRODUCTION; 2. SYNERGETIC SYSTEMS; 3. THE MATHEMATICAL TREATMENT OF SELFORGANIZATION
4. SYMMETRY AND SYMMETRY -- BREAKING INSTABILITIES5. PATTERN FORMATION IN LARGELY EXTENDED SYSTEMS; 6. A MACROSCOPIC APPROACH TO COMPLEX SYSTEMS; 7. INFORMATION AND SELFORGANIZATION; 8. PATTERN RECOGNITION AS A PROCESS DUAL TO PATTERN FORMATION; REFERENCES; Chapter 3. Cellular Automata; 1. INTRODUCTION; 2. CELLULAR AUTOMATA COMPUTERS; 3. MODELLING THERMODYNAMICS WITH CELLULAR AUTOMATA; 4. SELF-ORGANIZED CRITICALITY; 5. INHOYDGENEOUS CELLULAR AUTOMATA; G SPREADING IN MONTE CARLO; 7. OUTLOOK; ACKNOWLEDGMENT; REFERENCES; Chapter 4. Josephson tunneling and information theory; 1. INTRODUCTION
2. JOSEPHSON TUNNELING3 . CONCLUSIONS; ACKNOWLEGGEMENT; REFERENCES; Chapter 5. Ehrenfest approximation for non linear problems; 1. INTRODUCTION; 2. THE MODEL; 3. PRESENT FORMALISM; 4. RESULTS; REFERENCES; Chapter 6. Harmonic Brownian motion; 1. CLASSICAL BROWNIAN MOTION; 2. QUANTAL BROWNIAN MOTION 7-11; ACKNOWLEDGEMENT; REFERENCES; Chapter 7. Real space renormalization. A strategy for accuracy; 1. BRIEF INTRODUCTION TO REAL SPACE RENORMALIZATION; 2. CUMULANT APPROXIMATION; 3. A STRATEGY FOR ACCURACY; ACKNOWLEDGMENT; REFERENCES
Chapter 8. Evaluation of magnetic susceptibility with Q2R cellular automata1. INTRODUCTION; 2. FLUCTUATIONS IN A MICROCANONICAL ENSEMBLE; 3. CONCLUSIONS; REFERENCES; Chapter 9. A model of Alfven turbulence; 1. INTRODUCTION; 2. SOLITON FORMATION IN THE DNLS CASE; 3. DISTRIBUTION OF SOLITONS FROM NONLINEAR INTEGRABLE EQUATIONS; 4. STATISTICAL DESCRIPTION; 5. CONCLUSIONS; REFERENCES; Author Index; Subject Index
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Amsterdam ; New York : North-Holland ; New York, N.Y., U.S.A. : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1989