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Author : Milos Marek
Release : 1995-07-20
Genre : Science
Kind : eBook
Book Rating : 308/5 ( reviews)
Book Synopsis Chaotic Behaviour of Deterministic Dissipative Systems by : Milos Marek
Download or read book Chaotic Behaviour of Deterministic Dissipative Systems written by Milos Marek. This book was released on 1995-07-20. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Author : Gérard Iooss
Release : 1983
Genre : Science
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Chaotic Behaviour of Deterministic Systems by : Gérard Iooss
Download or read book Chaotic Behaviour of Deterministic Systems written by Gérard Iooss. This book was released on 1983. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Yurii Bolotin
Release : 2009-08-06
Genre : Science
Kind : eBook
Book Rating : 379/5 ( reviews)
Book Synopsis Chaos: Concepts, Control and Constructive Use by : Yurii Bolotin
Download or read book Chaos: Concepts, Control and Constructive Use written by Yurii Bolotin. This book was released on 2009-08-06. Available in PDF, EPUB and Kindle. Book excerpt: The study of physics has changed in character, mainly due to the passage from the analyses of linear systems to the analyses of nonlinear systems. Such a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. Linearity appears as a result of the simpli?cation of real systems, and often, is hardly achievable during the experimental studies. In this book, we focus our attention on some general phenomena, naturally linked with nonlinearity where chaos plays a constructive part. The ?rst chapter discusses the concept of chaos. It attempts to describe the me- ing of chaos according to the current understanding of it in physics and mat- matics. The content of this chapter is essential to understand the nature of chaos and its appearance in deterministic physical systems. Using the Turing machine, we formulate the concept of complexity according to Kolmogorov. Further, we state the algorithmic theory of Kolmogorov–Martin-Lof ̈ randomness, which gives a deep understanding of the nature of deterministic chaos. Readers will not need any advanced knowledge to understand it and all the necessary facts and de?nitions will be explained.
Author : G. Iooss (ed)
Release :
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Chaotic Behaviour of Deterministic Systems by : G. Iooss (ed)
Download or read book Chaotic Behaviour of Deterministic Systems written by G. Iooss (ed). This book was released on . Available in PDF, EPUB and Kindle. Book excerpt:
Author : Angelo Vulpiani
Release : 2010
Genre : Mathematics
Kind : eBook
Book Rating : 665/5 ( reviews)
Book Synopsis Chaos by : Angelo Vulpiani
Download or read book Chaos written by Angelo Vulpiani. This book was released on 2010. Available in PDF, EPUB and Kindle. Book excerpt: 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. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: 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 in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.
