Chaos: From Simple Models To Complex Systems

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"Angelo Vulpiani (Univ Of Roma ""La Sapienza"", Italy)" Fabio Cecconi (Infm-cnr, Italy)

Chaos

From Simple Models To Complex Systems

"Angelo Vulpiani (Univ Of Roma ""La Sapienza"", Italy)", Fabio Cecconi (Infm-cnr, Italy), Massimo Cencini (Infm-cnr, Italy)

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English

World Scientific Publishing Co Pte Ltd
03 September 2009

Complex analysis, complex variables; Chaos theory

Series: Series On Advances In Statistical Mechanics

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.

By: "Angelo Vulpiani (Univ Of Roma ""La Sapienza"" Italy)", Fabio Cecconi (Infm-cnr, Italy), Massimo Cencini (Infm-cnr, Italy)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 17
Dimensions: Height: 249mm, Width: 170mm, Spine: 25mm
Weight: 1.021kg
ISBN: 9789814277655
ISBN 10: 9814277657
Series: Series On Advances In Statistical Mechanics
Pages: 480
Publication Date: 03 September 2009
Audience: College/higher education , A / AS level , Further / Higher Education
Format: Hardback
Publisher's Status: Active

First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos, Numerical Computations and Experiments; Chaos in Few-Degrees of Freedom Systems; Spatiotemporal Chaos; Turbulence as a Dynamical Systems Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study.