Chaos Concepts Control And Constructive Use
Download Chaos Concepts Control And Constructive Use PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Chaos Concepts Control And Constructive Use book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Chaos: Concepts, Control and Constructive Use
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.
Chaos: Concepts, Control and Constructive Use
Author: Yurii Bolotin
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-08-06
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.
Chaos, Complexity, and Leadership 2023
Author: Şefika Şule Erçetin
language: en
Publisher: Springer Nature
Release Date: 2024-08-19
The proceedings of the 8th International Symposium on Chaos, Complexity, and Leadership present various concepts of diverse research methodologies to explore chaos and complexity across different scientific fields of leadership. Particular emphasis will be placed on investigating non-linearity to stimulate discussion on novel approaches and perspectives regarding chaos, complexity, and leadership. The book delves into recent developments from diverse fields, employing chaos and complexity theory as analytical tools. Readers will find insights into important contemporary events, regardless of the various perspectives across social, political, economic, or scientific domains. It integrates numerous aspects and challenges regarding the impact of chaos and complexity on our world, utilizing nonlinear dynamics to suggest transformative policies. It aims to investigate and predict future paths through an interdisciplinary approach. Given the current societal and economic turbulence, leadership across all sectors necessitates reassessment. Consequently, this book primarily targets individuals interested in nonlinear science and leadership. However, its content extends its appeal to a broader audience due to its application of chaos and complexity to other disciplines. The primary audience comprises academics, professionals, and decision-makers seeking to implement new approaches and methodologies in practice.