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Author : J. M. Gonz lez-Miranda
Release : 2004
Genre : Mathematics
Kind : eBook
Book Rating : 229/5 ( reviews)
Book Synopsis Synchronization and Control of Chaos by : J. M. Gonz lez-Miranda
Download or read book Synchronization and Control of Chaos written by J. M. Gonz lez-Miranda. This book was released on 2004. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. - A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators.
Author : Guanrong Chen
Release : 1998
Genre : Science
Kind : eBook
Book Rating : 698/5 ( reviews)
Book Synopsis From Chaos to Order by : Guanrong Chen
Download or read book From Chaos to Order written by Guanrong Chen. This book was released on 1998. Available in PDF, EPUB and Kindle. Book excerpt: Chaos control has become a fast-developing interdisciplinary research field in recent years. This book is for engineers and applied scientists who want to have a broad understanding of the emerging field of chaos control. It describes fundamental concepts, outlines representative techniques, provides case studies, and highlights recent developments, putting the reader at the forefront of current research.Important topics presented in the book include:
Author : Edward Ott
Release : 1993-04-30
Genre : Science
Kind : eBook
Book Rating : 153/5 ( reviews)
Book Synopsis Chaos in Dynamical Systems by : Edward Ott
Download or read book Chaos in Dynamical Systems written by Edward Ott. This book was released on 1993-04-30. Available in PDF, EPUB and Kindle. Book excerpt: This book is an in-depth and broad text on the subject of chaos in dynamical systems. It is intended to serve both as a graduate course text for science and engineering students, and as a reference and introduction to the subject for researchers. Within the past decade scientists, mathematicians and engineers have realized that a large variety of systems exhibit complicated evolution with time. This complicated behaviour, called chaos, occurs so frequently that it has become important for workers in many disciplines to have a good grasp of the fundamentals and basic tools of the emerging science of chaotic dynamics. The author's style is pedagogic, and the book will be of value both as a graduate text and also as a reference work for researchers in science and engineering needing to understand this important new subject. Homework problems are also included throughout the book.
Author : Yurii Bolotin
Release : 2016-10-24
Genre : Science
Kind : eBook
Book Rating : 963/5 ( 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 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.
Author : Huaguang Zhang
Release : 2009-06-18
Genre : Technology & Engineering
Kind : eBook
Book Rating : 234/5 ( reviews)
Book Synopsis Controlling Chaos by : Huaguang Zhang
Download or read book Controlling Chaos written by Huaguang Zhang. This book was released on 2009-06-18. Available in PDF, EPUB and Kindle. Book excerpt: Controlling Chaos achieves three goals: the suppression, synchronisation and generation of chaos, each of which is the focus of a separate part of the book. The text deals with the well-known Lorenz, Rössler and Hénon attractors and the Chua circuit and with less celebrated novel systems. Modelling of chaos is accomplished using difference equations and ordinary and time-delayed differential equations. The methods directed at controlling chaos benefit from the influence of advanced nonlinear control theory: inverse optimal control is used for stabilization; exact linearization for synchronization; and impulsive control for chaotification. Notably, a fusion of chaos and fuzzy systems theories is employed. Time-delayed systems are also studied. The results presented are general for a broad class of chaotic systems. This monograph is self-contained with introductory material providing a review of the history of chaos control and the necessary mathematical preliminaries for working with dynamical systems.
