Chaos: From Simple Models to Complex Systems - Couverture rigide

Vulpiani, Angelo; Cecconi, Fabio; Cencini, Massimo

 
9789814277655: Chaos: From Simple Models to Complex Systems

Synopsis

Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses.

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Présentation de l'éditeur

Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses.

Revue de presse

This book is recommended for a first approach to chaos: the exposition is very clear and all notions are introduced relying on intuition and explained through examples and applications. 32 call-out boxes, interspersed throughout the main text, provide basic concepts and further details, which make the book accessible to virtually everyone. --Mathematical Reviews

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Autres éditions populaires du même titre

9789813203587: Chaos: From Simple Models To Complex Systems

Edition présentée

ISBN 10 :  9813203587 ISBN 13 :  9789813203587
Editeur : Wspc, 2009
Couverture souple