Overview
- Editors:
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T. Bountis
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University of Patras, Patras, Greece
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Table of contents (37 chapters)
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Chaotic Dynamics: Theory
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Complexity, Control and Data Representaion
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- Joseph L. Breeden, Norman H. Packard
Pages 33-41
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Fractals, Multifractals and Analyticity of Normal Forms
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- Armando Bazzani, Giorgio Turchetti
Pages 59-70
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Integrability, Painleve Property and Singularity Analysis
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- Michael F. Jørgensen, Peter L. Christiansen, Silvana de Lillo, Leonor Cruzeiro-Hansson
Pages 71-73
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- B. Grammaticos, G. Karra, V. Papageorgiou, A. Ramani
Pages 75-90
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- Allan Fordy, Andrew Pickering
Pages 101-114
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- L. B. Drossos, T. C. Bountis
Pages 115-128
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Statistical Physics, Celestial Mechanics and Cosmology
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- R. Kluiving, H. W. Capel, R. A. Pasmanter
Pages 129-138
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- Armando Bazzani, Stefano Siboni, Giorgio Turchetti, Sandro Vaienti
Pages 139-144
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- Andrzej J. Maciejewski, Krzysztof Goździewski
Pages 145-159
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Chaotic Dynamics: Practice
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Controlling Dynamical Systems
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- Filipe J. Romeiras, Celso Grebogi, Edward Ott, W. P. Dayawansa
Pages 177-193
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- C. E. Frouzakis, R. A. Adomaitis, I. G. Kevrekidis, M. P. Golden, B. E. Ydstie
Pages 195-210
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About this book
Many conferences, meetings, workshops, summer schools and symposia on nonlinear dynamical systems are being organized these days, dealing with a great variety of topics and themes -classical and quantum, theoretical and experimental. Some focus on integrability, or discuss the mathematical foundations of chaos. Others explore the beauty of fractals, or examine endless possibilities of applications to problems of physics, chemistry, biology and other sciences. A new scientific discipline has thus emerged, with its own distinct philosophical viewpoint and an impressive arsenal of new methods and techniques, which may be called Chaotic Dynamics. Perhaps its most outstanding achievement so far has been to shed new light on many long standing issues involving complicated, irregular or "chaotic" nonlinear phenomena. The concepts of randomness, complexity and unpredictability have been critically re-examined and the fundamental importance of scaling, self-similarity and sensitive dependence on parameters and initial conditions has been firmly established. In this NATO ASI, held at the seaside Greek city of Patras, between July 11- 20, 1991, a serious effort was made to bring together scientists representing many of the different aspects of Chaotic Dynamics. Our main aim was to review recent advances, evaluate the current state of the art and identify some of the more promising directions for research in Chaotic Dynamics.
Editors and Affiliations
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University of Patras, Patras, Greece
T. Bountis