Determining Thresholds Of Complete Synchronization And Application
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Determining Thresholds Of Complete Synchronization And Application
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Author : Andrzej Stefanski
language : en
Publisher: World Scientific
Release Date : 2009
Determining Thresholds Of Complete Synchronization And Application written by Andrzej Stefanski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Technology & Engineering categories.
This book is devoted to the phenomenon of synchronization and its application for determining the values of Lyapunov exponents. In recent years, the idea of synchronization has become an object of great interest in many areas of science, e.g., biology, communication or laser physics. Over the last decade, new types of synchronization have been identified and some interesting new ideas concerning the synchronization have also appeared. This book presents the complete synchronization problem rather than just results from the research. The problem is demonstrated in relation to a kind of coupling applied between dynamical systems, whereby a unique classification of possible couplings is introduced. Another novel feature is the connection presented between synchronization and the problem of determining the Lyapunov exponents, especially for non-differentiable systems. A detailed proposal of such an estimation method and examples of its application are included.
Determining Thresholds Of Complete Synchronization And Application
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Author : Andrzej Stefanski
language : en
Publisher: World Scientific
Release Date : 2009-06-05
Determining Thresholds Of Complete Synchronization And Application written by Andrzej Stefanski and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-05 with Mathematics categories.
This book is devoted to the phenomenon of synchronization and its application for determining the values of Lyapunov exponents. In recent years, the idea of synchronization has become an object of great interest in many areas of science, e.g., biology, communication or laser physics. Over the last decade, new types of synchronization have been identified and some interesting new ideas concerning the synchronization have also appeared.This book presents the complete synchronization problem rather than just results from the research. The problem is demonstrated in relation to a kind of coupling applied between dynamical systems, whereby a unique classification of possible couplings is introduced. Another novel feature is the connection presented between synchronization and the problem of determining the Lyapunov exponents, especially for non-differentiable systems. A detailed proposal of such an estimation method and examples of its application are included.
Nonlinear Dynamics New Directions
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Author : Hernán González-Aguilar
language : en
Publisher: Springer
Release Date : 2015-02-10
Nonlinear Dynamics New Directions written by Hernán González-Aguilar and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-10 with Technology & Engineering categories.
This book, along with its companion volume, Nonlinear Dynamics New Directions: Theoretical Aspects, covers topics ranging from fractal analysis to very specific applications of the theory of dynamical systems to biology. This second volume contains mostly new applications of the theory of dynamical systems to both engineering and biology. The 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 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: · Develops applications of nonlinear dynamics on a diversity of topics such as patterns of synchrony in neuronal networks, laser synchronization, control of chaotic systems, and the study of transient dynamics in biological · Includes a study of self-organized regularity in long-range systems · Explains use of Levenstein's distance for measuring lexical evolution rates
Nonlinear Dynamical Systems With Self Excited And Hidden Attractors
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Author : Viet-Thanh Pham
language : en
Publisher: Springer
Release Date : 2018-02-26
Nonlinear Dynamical Systems With Self Excited And Hidden Attractors written by Viet-Thanh Pham and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-26 with Technology & Engineering categories.
This book highlights the latest findings on nonlinear dynamical systems including two types of attractors: self-excited and hidden attractors. Further, it presents both theoretical and practical approaches to investigating nonlinear dynamical systems with self-excited and hidden attractors. The book includes 20 chapters contributed by respected experts, which focus on various applications such as biological systems, memristor-based systems, fractional-order systems, finance systems, business cycles, oscillators, coupled systems, hyperchaotic systems, flexible robot manipulators, electronic circuits, and control models. Special attention is given to modeling, design, circuit realization, and practical applications to address recent research problems in nonlinear dynamical systems. The book provides a valuable reference guide to nonlinear dynamical systems for engineers, researchers, and graduate students, especially those whose work involves mechanics, electrical engineering, and control systems.
Fractional Order Systems Modeling And Control Applications
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Author : Riccardo Caponetto
language : en
Publisher: World Scientific
Release Date : 2010-02-10
Fractional Order Systems Modeling And Control Applications written by Riccardo Caponetto and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-02-10 with Technology & Engineering categories.
This book aims to propose the implementation and application of Fractional Order Systems (FOS). It is well known that FOS can be utilized in control applications and systems modeling, and their effectiveness has been proven in many theoretical works and simulation routines. A further and mandatory step for FOS real world utilization is their hardware implementation and applications on real systems modeling. With this viewpoint, introductory chapters are included on the definition of stability region of Fractional Order PID Controller and Chaotic FOS, followed by the practical implementation based on Microcontroller, Field Programmable Gate Array, Field Programmable Analog Array and Switched Capacitor. Another section is dedicated to FO modeling of Ionic Polymeric Metal Composite (IPMC). This new material will have applications in robotics, aerospace and biomedicine.
Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A Volume V
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Author : Leon O Chua
language : en
Publisher: World Scientific
Release Date : 2012-03-13
Nonlinear Dynamics Perspective Of Wolfram S New Kind Of Science A Volume V written by Leon O Chua and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-13 with Mathematics categories.
This penultimate volume contains numerous original, elegant, and surprising results in 1-dimensional cellular automata. Perhaps the most exciting, if not shocking, new result is the discovery that only 82 local rules, out of 256, suffice to predict the time evolution of any of the remaining 174 local rules from an arbitrary initial bit-string configuration. This is contrary to the well-known folklore that 256 local rules are necessary, leading to the new concept of quasi-global equivalence.Another surprising result is the introduction of a simple, yet explicit, infinite bit string called the super string S, which contains all random bit strings of finite length as sub-strings. As an illustration of the mathematical subtlety of this amazing discrete testing signal, the super string S is used to prove mathematically, in a trivial and transparent way, that rule 170 is as chaotic as a coin toss.Yet another unexpected new result, among many others, is the derivation of an explicit basin tree generation formula which provides an analytical relationship between the basin trees of globally-equivalent local rules. This formula allows the symbolic, rather than numerical, generation of the time evolution of any local rule corresponding to any initial bit-string configuration, from one of the 88 globally-equivalent local rules.But perhaps the most provocative idea is the proposal for adopting rule 137, over its three globally-equivalent siblings, including the heretofore more well-known rule 110, as the prototypical universal Turing machine.
Robust Chaos And Its Applications
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Author : Elhadj Zeraoulia
language : en
Publisher: World Scientific
Release Date : 2012
Robust Chaos And Its Applications written by Elhadj Zeraoulia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Robust chaos is defined by the absence of periodic windows and coexisting attractors in some neighborhoods in the parameter space of a dynamical system. This unique book explores the definition, sources, and roles of robust chaos. The book is written in a reasonably self-contained manner and aims to provide students and researchers with the necessary understanding of the subject. Most of the known results, experiments, and conjectures about chaos in general and about robust chaos in particular are collected here in a pedagogical form. Many examples of dynamical systems, ranging from purely mathematical to natural and social processes displaying robust chaos, are discussed in detail. At the end of each chapter is a set of exercises and open problems (more than 260 in the whole book) intended to reinforce the ideas and provide additional experiences for both readers and researchers in nonlinear science in general, and chaos theory in particular.
Three Plays Of Maureen Hunter
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Author : Hunter, Maureen
language : en
Publisher: OIBooks-Libros
Release Date : 2003
Three Plays Of Maureen Hunter written by Hunter, Maureen and has been published by OIBooks-Libros this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Drama categories.
Book is clean and tight. No writing in text. Like New
A Practical Guide For Studying Chua S Circuits
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Author : Recai Kilic
language : en
Publisher: World Scientific
Release Date : 2010-03-12
A Practical Guide For Studying Chua S Circuits written by Recai Kilic and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-12 with Technology & Engineering categories.
Autonomous and nonautonomous Chua's circuits are of special significance in the study of chaotic system modeling, chaos-based science and engineering applications. Since hardware and software-based design and implementation approaches can be applied to Chua's circuits, these circuits are also excellent educative models for studying and experimenting nonlinear dynamics and chaos.This book not only presents a collection of the author's published papers on design, simulation and implementation of Chua's circuits, it also provides a systematic approach to practising chaotic dynamics.
Development Of Memristor Based Circuits
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Author : Andrew L. Fitch
language : en
Publisher: World Scientific
Release Date : 2013
Development Of Memristor Based Circuits written by Andrew L. Fitch and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
In 1971, Leon O. Chua presented the formulation of a memristor, which was postulated as the fourth circuit element in electrical circuit theory OCo one that could join the existing core group of elements: capacitor, resistor and inductor. For over thirty years, the memristor had held no significance in circuit theory. Then in 2008, a group of scientists from Hewlett-Packard Labs (HP) developed a working memristor. Although the solid state implementation of the memristor inspired appreciable interest in developing applications, memristors are not yet available on the market to date. HP labs do not expect to introduce memristors in a product for a few more years. Therefore, the development of memristor based circuits is essential for further experimental research on the applications.Combining an overview, tutorial and technical articles, the book describes the state-of-the-art research on significant issues in the field. Examples of memristor mimicking circuits are presented, and applications of memristor based circuits addressed.