Share

Concepts and Results in Chaotic Dynamics: A Short Course

2007-07-07 Mathematics
Download Concepts and Results in Chaotic Dynamics: A Short Course PDF Online Free

Author :
Release : 2007-07-07
Genre : Mathematics
Kind : eBook
Book Rating : 062/5 ( reviews)

GET EBOOK


Book Synopsis Concepts and Results in Chaotic Dynamics: A Short Course by : Pierre Collet

Download or read book Concepts and Results in Chaotic Dynamics: A Short Course written by Pierre Collet. This book was released on 2007-07-07. Available in PDF, EPUB and Kindle. Book excerpt: The study of dynamical systems is a well established field. This book provides a panorama of several aspects of interest to mathematicians and physicists. It collects the material of several courses at the graduate level given by the authors, avoiding detailed proofs in exchange for numerous illustrations and examples. Apart from common subjects in this field, a lot of attention is given to questions of physical measurement and stochastic properties of chaotic dynamical systems.

Chaos: Concepts, Control and Constructive Use

2016-10-24 Science
Download Chaos: Concepts, Control and Constructive Use PDF Online Free

Author :
Release : 2016-10-24
Genre : Science
Kind : eBook
Book Rating : 963/5 ( reviews)

GET EBOOK


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 2016-10-24. Available in PDF, EPUB and Kindle. Book excerpt: This book offers a short and concise introduction to the many facets of chaos theory. While the study of chaotic behavior in nonlinear, dynamical systems is a well-established research field with ramifications in all areas of science, there is a lot to be learnt about how chaos can be controlled and, under appropriate conditions, can actually be constructive in the sense of becoming a control parameter for the system under investigation, stochastic resonance being a prime example. The present work stresses the latter aspects and, after recalling the paradigm changes introduced by the concept of chaos, leads the reader skillfully through the basics of chaos control by detailing the relevant algorithms for both Hamiltonian and dissipative systems, among others. The main part of the book is then devoted to the issue of synchronization in chaotic systems, an introduction to stochastic resonance, and a survey of ratchet models. In this second, revised and enlarged edition, two more chapters explore the many interfaces of quantum physics and dynamical systems, examining in turn statistical properties of energy spectra, quantum ratchets, and dynamical tunneling, among others. This text is particularly suitable for non-specialist scientists, engineers, and applied mathematical scientists from related areas, wishing to enter the field quickly and efficiently. From the reviews of the first edition: This book is an excellent introduction to the key concepts and control of chaos in (random) dynamical systems [...] The authors find an outstanding balance between main physical ideas and mathematical terminology to reach their audience in an impressive and lucid manner. This book is ideal for anybody who would like to grasp quickly the main issues related to chaos in discrete and continuous time. Henri Schurz, Zentralblatt MATH, Vol. 1178, 2010.

An Exploration of Dynamical Systems and Chaos

2015-04-24 Technology & Engineering
Download An Exploration of Dynamical Systems and Chaos PDF Online Free

Author :
Release : 2015-04-24
Genre : Technology & Engineering
Kind : eBook
Book Rating : 424/5 ( reviews)

GET EBOOK


Book Synopsis An Exploration of Dynamical Systems and Chaos by : John H. Argyris

Download or read book An Exploration of Dynamical Systems and Chaos written by John H. Argyris. This book was released on 2015-04-24. Available in PDF, EPUB and Kindle. Book excerpt: This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany

Nonlinear Dynamics New Directions

2015-03-09 Technology & Engineering
Download Nonlinear Dynamics New Directions PDF Online Free

Author :
Release : 2015-03-09
Genre : Technology & Engineering
Kind : eBook
Book Rating : 675/5 ( reviews)

GET EBOOK


Book Synopsis Nonlinear Dynamics New Directions by : Hernán González-Aguilar

Download or read book Nonlinear Dynamics New Directions written by Hernán González-Aguilar. This book was released on 2015-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This book, along with its companion volume, Nonlinear Dynamics New Directions: Models and Applications, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This first volume is devoted to fundamental aspects and includes a number of important new contributions as well as some review articles that emphasize new development prospects. The second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The topics addressed in the two volumes include a rigorous treatment of fluctuations in dynamical systems, topics in fractal analysis, studies of the transient dynamics in biological networks, synchronization in lasers, and control of chaotic systems, among others. This book also: · Presents a rigorous treatment of fluctuations in dynamical systems and explores a range of topics in fractal analysis, among other fundamental topics · Features recent developments on large deviations for higher-dimensional maps, a study of measures resisting multifractal analysis and a overview of complex Kleninan groups · Includes thorough review of recent findings that emphasize new development prospects

Modern Theory of Dynamical Systems

2017-06-19 Mathematics
Download Modern Theory of Dynamical Systems PDF Online Free

Author :
Release : 2017-06-19
Genre : Mathematics
Kind : eBook
Book Rating : 602/5 ( reviews)

GET EBOOK


Book Synopsis Modern Theory of Dynamical Systems by : Anatole Katok

Download or read book Modern Theory of Dynamical Systems written by Anatole Katok. This book was released on 2017-06-19. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a tribute to one of the founders of modern theory of dynamical systems, the late Dmitry Victorovich Anosov. It contains both original papers and surveys, written by some distinguished experts in dynamics, which are related to important themes of Anosov's work, as well as broadly interpreted further crucial developments in the theory of dynamical systems that followed Anosov's original work. Also included is an article by A. Katok that presents Anosov's scientific biography and a picture of the early development of hyperbolicity theory in its various incarnations, complete and partial, uniform and nonuniform.

You may also like...