Complex Systems: Chaos and Beyond

Beschreibung

Chaos in science has always been a fascinating realm since it challenges the usual scientific approach of reductionism. While carefully distinguishing between complexity, holism, randomness, incompleteness, nondeterminism and stochastic behaviour the authors show that, although many aspects of chaos have been phenomenologically understood, most of its defining principles are still difficult to grasp and formulate. Demonstrating that chaos escapes all traditional methods of description, the authors set out to find new methods to deal with this phenomenon and illustrate their constructive approach with many examples from physics, biology and information technology. While maintaining a high level of rigour, an overly complicated mathematical apparatus is avoided in order to make this book accessible, beyond the specialist level, to a wider interdisciplinary readership.
Chaos in science has always been a fascinating realm since it challenges the usual scientific approach of reductionism. While carefully distinguishing between complexity, holism, randomness, incompleteness, nondeterminism and stochastic behaviour the authors show that, although many aspects of chaos have been phenomenologically understood, most of its defining principles are still difficult to grasp and formulate. Demonstrating that chaos escapes all traditional methods of description, the authors set out to find new methods to deal with this phenomenon and illustrate their constructive approach with many examples from physics, biology and information technology. While maintaining a high level of rigour, an overly complicated mathematical apparatus is avoided in order to make this book accessible, beyond the specialist level, to a wider interdisciplinary readership.
Both authors have an outstanding academic record as far as their research in the field of chaos theory is concerned This book, the first among a planned series of many on this subject, is the outcome of many years of efforts to give an new all-encompassing approach to complex systems in nature based on chaos theory Includes supplementary material: sn.pub/extras

Autor*in

Kunihiko Kaneko

Themen in »Complex Systems: Chaos and Beyond«

Chaos Computerassistierte Detektion bifurcation biology chaos theory complex system complex systems information theory life sciences nonlinear dynamics stochastic processes

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