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Synchronizing Chaos
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Book Synopsis Controlling Chaos by : Huaguang Zhang
Download or read book Controlling Chaos written by Huaguang Zhang and published by Springer Science & Business Media. This book was released on 2009-06-18 with total page 357 pages. 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.
Book Synopsis Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption by : Banerjee, Santo
Download or read book Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption written by Banerjee, Santo and published by IGI Global. This book was released on 2010-07-31 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past few decades, there has been numerous research studies conducted involving the synchronization of dynamical systems with several theoretical studies and laboratory experimentations demonstrating the pivotal role for this phenomenon in secure communications. Chaos Synchronization and Cryptography for Secure Communications: Applications for Encryption explores the combination of ordinary and time delayed systems and their applications in cryptographic encoding. This innovative publication presents a critical mass of the most sought after research, providing relevant theoretical frameworks and the latest empirical research findings in this area of study.
Book Synopsis Synchronization and Control of Chaos by : Jes£s Manuel Gonz lez-Miranda
Download or read book Synchronization and Control of Chaos written by Jes£s Manuel Gonz lez-Miranda and published by World Scientific. This book was released on 2004 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: - A broad and systematic account of research on dynamics of coupled and driven chaotic oscillators
Book Synopsis Robust Synchronization of Chaotic Systems via Feedback by : Ricardo Femat
Download or read book Robust Synchronization of Chaotic Systems via Feedback written by Ricardo Femat and published by Springer. This book was released on 2009-01-23 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This pages include the results derived during last ten years about both suppression and synchronization of chaotic -continuous time- systems. Along this time, our concept was to study how the intrinsic properties of dynamical systems can be exploited to suppress and to synchronize the chaotic behavior and what synchronization phen- ena can be found under feedback interconnection. Our findings have caused surprise to us and have stimulated our astonishing capability. Perhaps, reader can imagine our faces with opens eyes like children seeing around objects; which are possibly obvious for others and novel for us. A compilation of our surprises about these findings is being described along this book. Book contains both objectives to share our ama- ment and to show our perspective on synchronization of chaotic systems. Thus, while we were writing the preface, we discussed its scope. Thinking as a book readers, we found that a preface should answer, in few words, the following question: What can the reader find in this book?, reader can find our steps toward understanding of c- otic behavior and the possibility of suppressing and synchronizing it. We firstly show the chaos suppression form experimental domain to potential implementation in high tech system as a levitation system based on High Temperature Superconductors (HTS). This chapter is used as departing point towards a more complicated problem the chaotic synchronization. Then, reader travels by the synchronization of the chaotic behavior world throughout distinct feedback approaches.
Book Synopsis Synchronization Techniques for Chaotic Communication Systems by : Branislav Jovic
Download or read book Synchronization Techniques for Chaotic Communication Systems written by Branislav Jovic and published by Springer Science & Business Media. This book was released on 2011-08-20 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the early 1990s, when synchronization of chaotic communication systems became a popular research subject, a vast number of scientific papers have been published. However, most of today’s books on chaotic communication systems deal exclusively with the systems where perfect synchronization is assumed, an assumption which separates theoretical from practical, real world, systems. This book is the first of its kind dealing exclusively with the synchronization techniques for chaotic communication systems. It describes a number of novel robust synchronization techniques, which there is a lack of, for single and multi-user chaotic communication systems published and highly cited in world’s leading journals in the area. In particular, it presents a solution to the problem of robust chaotic synchronization by presenting the first fully synchronized, highly secure, chaos based DS-CDMA system. The book fills a gap in the existing literature where a number of books exist that deal with chaos and chaotic communications but not with synchronization of chaotic communication systems. It also acts as a bridge between communication system theory and chaotic synchronization by carefully explaining the two concepts and demonstrating how they link into chaotic communication systems. The book also presents a detailed literature review on the topic of synchronization of chaotic communication systems. Furthermore, it presents the literature review on the general topic of chaotic synchronization and how those ideas led to the application of chaotic signals to secure chaotic communication systems. It therefore, in addition to presenting the state of the art systems, also presents a detailed history of chaotic communication systems. In summary, the book stands out in the field of synchronization techniques for chaotic communication systems.
Book Synopsis Recent Advances in Chaotic Systems and Synchronization by : Olfa Boubaker
Download or read book Recent Advances in Chaotic Systems and Synchronization written by Olfa Boubaker and published by Academic Press. This book was released on 2018-11-05 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent Advances in Chaotic Systems and Synchronization: From Theory to Real World Applications is a major reference for scientists and engineers interested in applying new computational and mathematical tools for solving complex problems related to modeling, analyzing and synchronizing chaotic systems. Furthermore, it offers an array of new, real-world applications in the field. Written by eminent scientists in the field of control theory and nonlinear systems from 19 countries (Cameroon, China, Ethiopia, France, Greece, India, Italia, Iran, Japan, Mexico, and more), this book covers the latest advances in chaos theory, along with the efficiency of novel synchronization approaches. Readers will find the fundamentals and algorithms related to the analysis and synchronization of chaotic systems, along with key applications, including electronic design, text and image encryption, and robot control and tracking. Explores and evaluates the latest real-world applications of chaos across various engineering and biomedical engineering fields Investigates advances in chaos synchronization techniques, including the continuous sliding-mode control approach, hybrid synchronization between chaotic and hyperchaotic systems, and neural network synchronization Presents recent advances in chaotic systems through an overview of new systems and new proprieties
Book Synopsis Optical Communication with Chaotic Lasers by : Atsushi Uchida
Download or read book Optical Communication with Chaotic Lasers written by Atsushi Uchida and published by John Wiley & Sons. This book was released on 2012-02-13 with total page 669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Starting with an introduction to the fundamental physics in chaotic instabilities in laser systems, this comprehensive and unified reference goes on to present the techniques and technology of synchronization of chaos in coupled lasers, as well as the many applications to lasers and optics, communications, security and information technology. Throughout, it presents the current state of knowledge, including encoding/decoding techniques, performance of chaotic communication systems, random number generation, and novel communication technologies.
Book Synopsis Nonlinear Dynamics in Circuits by : Thomas L. Carroll
Download or read book Nonlinear Dynamics in Circuits written by Thomas L. Carroll and published by World Scientific. This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume describes the use of simple analog circuits to study nonlinear dynamics, chaos and stochastic resonance. The circuit experiments that are described are mostly easy and inexpensive to reproduce, and yet these experiments come from the forefront of nonlinear dynamics research. The individual chapters describe why analog circuits are so useful for studying nonlinear dynamics, and include theoretical as well as experimental results from some of the leading researchers in the field. Most of the articles contain some tutorial sections for the less experienced readers.The audience for this book includes researchers in nonlinear dynamics, chaos and statistical physics as well as electrical engineering, and graduate and advanced undergraduate students in these fields.
Book Synopsis Chaotic Synchronization: Applications To Living Systems by : Yuri L Maistrenko
Download or read book Chaotic Synchronization: Applications To Living Systems written by Yuri L Maistrenko and published by World Scientific. This book was released on 2002-03-07 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level.This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on-off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization.The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors.
Book Synopsis Chaos and Fractals in Chemical Engineering by : Giuseppe Biardi
Download or read book Chaos and Fractals in Chemical Engineering written by Giuseppe Biardi and published by World Scientific. This book was released on 1994 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Synchronization of Integral and Fractional Order Chaotic Systems by : Rafael Martínez-Guerra
Download or read book Synchronization of Integral and Fractional Order Chaotic Systems written by Rafael Martínez-Guerra and published by Springer. This book was released on 2015-03-17 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a general overview of several concepts of synchronization and brings together related approaches to secure communication in chaotic systems. This is achieved using a combination of analytic, algebraic, geometrical and asymptotical methods to tackle the dynamical feedback stabilization problem. In particular, differential-geometric and algebraic differential concepts reveal important structural properties of chaotic systems and serve as guide for the construction of design procedures for a wide variety of chaotic systems. The basic differential algebraic and geometric concepts are presented in the first few chapters in a novel way as design tools, together with selected experimental studies demonstrating their importance. The subsequent chapters treat recent applications. Written for graduate students in applied physical sciences, systems engineers, and applied mathematicians interested in synchronization of chaotic systems and in secure communications, this self-contained text requires only basic knowledge of integer ordinary and fractional ordinary differential equations. Design applications are illustrated with the help of several physical models of practical interest.
Book Synopsis From Chaos To Order: Methodologies, Perspectives And Applications by : Guanrong Chen
Download or read book From Chaos To Order: Methodologies, Perspectives And Applications written by Guanrong Chen and published by World Scientific. This book was released on 1998-06-06 with total page 777 pages. 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:
Book Synopsis Applications of Chaos and Nonlinear Dynamics in Engineering - by : Santo Banerjee
Download or read book Applications of Chaos and Nonlinear Dynamics in Engineering - written by Santo Banerjee and published by Springer Science & Business Media. This book was released on 2011-09-10 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos and nonlinear dynamics initially developed as a new emergent field with its foundation in physics and applied mathematics. The highly generic, interdisciplinary quality of the insights gained in the last few decades has spawned myriad applications in almost all branches of science and technology—and even well beyond. Wherever quantitative modeling and analysis of complex, nonlinear phenomena is required, chaos theory and its methods can play a key role. This volume concentrates on reviewing the most relevant contemporary applications of chaotic nonlinear systems as they apply to the various cutting-edge branches of engineering. The book covers the theory as applied to robotics, electronic and communication engineering (for example chaos synchronization and cryptography) as well as to civil and mechanical engineering, where its use in damage monitoring and control is explored). Featuring contributions from active and leading research groups, this collection is ideal both as a reference and as a ‘recipe book’ full of tried and tested, successful engineering applications
Book Synopsis Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems by : Boulkroune, Abdesselem
Download or read book Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems written by Boulkroune, Abdesselem and published by IGI Global. This book was released on 2018-05-11 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the recent years, fractional-order systems have been studied by many researchers in the engineering field. It was found that many systems can be described more accurately by fractional differential equations than by integer-order models. Advanced Synchronization Control and Bifurcation of Chaotic Fractional-Order Systems is a scholarly publication that explores new developments related to novel chaotic fractional-order systems, control schemes, and their applications. Featuring coverage on a wide range of topics including chaos synchronization, nonlinear control, and cryptography, this publication is geared toward engineers, IT professionals, researchers, and upper-level graduate students seeking current research on chaotic fractional-order systems and their applications in engineering and computer science.
Book Synopsis Dynamical System Synchronization by : Albert C. J. Luo
Download or read book Dynamical System Synchronization written by Albert C. J. Luo and published by Springer Science & Business Media. This book was released on 2013-03-22 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical System Synchronization (DSS) meticulously presents for the first time the theory of dynamical systems synchronization based on the local singularity theory of discontinuous dynamical systems. The book details the sufficient and necessary conditions for dynamical systems synchronizations, through extensive mathematical expression. Techniques for engineering implementation of DSS are clearly presented compared with the existing techniques.
Book Synopsis Advances in Atomic, Molecular, and Optical Physics by :
Download or read book Advances in Atomic, Molecular, and Optical Physics written by and published by Elsevier. This book was released on 2006-12-13 with total page 749 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 54 of the Advances in Atomic, Molecular, and Optical Physics Series contains ten contributions, covering a diversity of subject areas in atomic, molecular and optical physics. The article by Regal and Jin reviews the properties of a Fermi degenerate gas of cold potassium atoms in the crossover regime between the Bose-Einstein condensation of molecules and the condensation of fermionic atom pairs. The transition between the two regions can be probed by varying an external magnetic field. Sherson, Julsgaard and Polzik explore the manner in which light and atoms can be entangled, with applications to quantum information processing and communication. They report on the result of recent experiments involving the entanglement of distant objects and quantum memory of light. Recent developments in cold Rydberg atom physics are reviewed in the article by Choi, Kaufmann, Cubel-Liebisch, Reinhard, and Raithel. Fascinating experiments are described in which cold, highly excited atoms (“Rydberg atoms) and cold plasmas are generated. Evidence for a collective excitation of Rydberg matter is also presented. Griffiin and Pindzola offer an account of non-perturbative quantal methods for electron-atom scattering processes. Included in the discussion are the R-matrix with pseudo-states method and the time-dependent close-coupling method. An extensive review of the R-matrix theory of atomic, molecular, and optical processes is given by Burke, Noble, and Burke. They present a systematic development of the R-matrix method and its applications to various processes such as electron-atom scattering, atomic photoionization, electron-molecule scattering, positron-atom scattering, and atomic/molecular multiphoton processes. Electron impact excitation of rare-gas atoms from both their ground and metastable states is discussed in the article by Boffard, Jung, Anderson, and Lin. Excitation cross sections measured by the optical method are reviewed with emphasis on the physical interpretation in terms of electronic structure of the target atoms. Ozier and Moazzen-Ahmadi explore internal rotation of symmetric top molecules. Developments of new experimental methods based on high-resolution torsional, vibrational, and molecular beam spectroscopy allow accurate determination of internal barriers for these symmetric molecules. The subject of attosecond and angstrom science is reviewed by Niikura and Corkum. The underlying physical mechanisms allowing one to generate attosecond radiation pulses are described and the technology needed for the preparation of such pulses is discussed. LeGouët, Bretenaker, and Lorgeré describe how rare earth ions embedded in crystals can be used for processing optically carried broadband radio-frequency signals. Methods for reaching tens of gigahertz instantaneous bandwidth with submegahertz resolution using such devices are analyzed in detail and demonstrated experimentally. Finally, in the article by Illing, Gauthier, and Roy, it is shown that small perturbations applied to optical systems can be used to suppress or control optical chaos, spatio-temporal dynamics, and patterns. Applications of these techniques to communications, laser stabilization, and improving the sensitivity of low-light optical switches are explored. International experts Comprehensive articles New developments
Book Synopsis Nonlinear Phenomena Research Perspectives by : Charles W. Wang
Download or read book Nonlinear Phenomena Research Perspectives written by Charles W. Wang and published by Nova Publishers. This book was released on 2007 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-linear, or chaotic behaviour in real world systems has been reported in electronic circuits and communications systems, chemical reactions, biological behaviour. Applications include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. This book presents important new research in this dynamic field.
