Download or read book Experimental Study And Characterization Of Chaos A Collection Of Reviews And Lecture Notes written by Bailin Hao and published by World Scientific. This book was released on 1990-05-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a continuation of the previous two volumes of review papers on chaotic dynamics and related topics, published in 1987 and 1988 respectively. In addition to a few reviews written by active researchers specially for the volume, it also contains several reviews based on lectures delivered at the Spring School on Experimental Study of Chaotic Phenomena, held in Tianjing, China, in May 1989, and at the session on Nonlinear Dynamics during the Workshop on Condensed Matter, Molecular and Atomic Physics, held in June - August, 1989, at the International Centre for Theoretical Physics at Trieste, Italy. The emphasis has been made on multifractals, applied symbolic dynamics, the role of unstable orbits and transient chaos. This volume would be useful to graduate students and researchers in physical sciences and engineering.

Download or read book Experimental Study and Characterization of Chaos written by Bai-lin Hao and published by World Scientific. This book was released on 1990 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a continuation of the previous two volumes of review papers on chaotic dynamics and related topics, published in 1987 and 1988 respectively. In addition to a few reviews written by active researchers specially for the volume, it also contains several reviews based on lectures delivered at the Spring School on Experimental Study of Chaotic Phenomena, held in Tianjing, China, in May 1989, and at the session on Nonlinear Dynamics during the Workshop on Condensed Matter, Molecular and Atomic Physics, held in June - August, 1989, at the International Centre for Theoretical Physics at Trieste, Italy. The emphasis has been made on multifractals, applied symbolic dynamics, the role of unstable orbits and transient chaos. This volume would be useful to graduate students and researchers in physical sciences and engineering.

Download or read book Chaos written by Angelo Vulpiani and published by World Scientific. This book was released on 2010 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.

Download or read book The Topology of Chaos written by Robert Gilmore and published by John Wiley & Sons. This book was released on 2012-09-19 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems. The authors provide a deep understanding of the structure of strange attractors, how they are classified, and how the information required to identify and classify a strange attractor can be extracted from experimental data. In its first edition, the Topology of Chaos has been a valuable resource for physicist and mathematicians interested in the topological analysis of dynamical systems. Since its publication in 2002, important theoretical and experimental advances have put the topological analysis program on a firmer basis. This second edition includes relevant results and connects the material to other recent developments. Following significant improvements will be included: * A gentler introduction to the topological analysis of chaotic systems for the non expert which introduces the problems and questions that one commonly encounters when observing a chaotic dynamics and which are well addressed by a topological approach: existence of unstable periodic orbits, bifurcation sequences, multistability etc. * A new chapter is devoted to bounding tori which are essential for achieving generality as well as for understanding the influence of boundary conditions. * The new edition also reflects the progress which had been made towards extending topological analysis to higher-dimensional systems by proposing a new formalism where evolving triangulations replace braids. * There has also been much progress in the understanding of what is a good representation of a chaotic system, and therefore a new chapter is devoted to embeddings. * The chapter on topological analysis program will be expanded to cover traditional measures of chaos. This will help to connect those readers who are familiar with those measures and tests to the more sophisticated methodologies discussed in detail in this book. * The addition of the Appendix with both frequently asked and open questions with answers gathers the most essential points readers should keep in mind and guides to corresponding sections in the book. This will be of great help to those who want to selectively dive into the book and its treatments rather than reading it cover to cover. What makes this book special is its attempt to classify real physical systems (e.g. lasers) using topological techniques applied to real date (e.g. time series). Hence it has become the experimenter?s guidebook to reliable and sophisticated studies of experimental data for comparison with candidate relevant theoretical models, inevitable to physicists, mathematicians, and engineers studying low-dimensional chaotic systems.

Download or read book Exploring Chaos written by Brian Davies and published by CRC Press. This book was released on 2018-05-04 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents elements of the theory of chaos in dynamical systems in a framework of theoretical understanding coupled with numerical and graphical experimentation. It describes the theory of fractals, focusing on the importance of scaling and ordinary differential equations.

Download or read book Time Delayed Chaotic Dynamical Systems written by Tanmoy Banerjee and published by Springer. This book was released on 2017-12-06 with total page 121 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes systematic design techniques for chaotic and hyperchaotic systems, the transition from one to the other, and their implementation in electronic circuits. It also discusses the collective phenomena manifested by these systems when connected by a physical coupling scheme. Readers will be introduced to collective behaviours, such as synchronization and oscillation suppression, and will learn how to implement nonlinear differential equations in electronic circuits. Further, the book shows how the choice of nonlinearity can lead to chaos and hyperchaos, even in a first-order time-delayed system. The occurrence of these phenomena, together with the efficiency of the design techniques described, is presented with theoretical studies, numerical characterization and experimental demonstrations with the corresponding electronic circuits, helping readers grasp the design aspects of dynamical systems as a whole in electronic circuits. The authors then discuss the usefulness of an active all-pass filter as the delay element, supported by their own experimental observations, as well as theoretical and numerical results. Including detailed analysis, as well as computations with suitable dedicated software packages, the book will be of interest to all academics and researchers who wish to expand their knowledge of the subtlety of nonlinear time-delayed systems. It also offers a valuable source of information for engineers, linking the design techniques of chaotic time-delayed systems with their collective phenomena.

Download or read book Experimental Control of Chaos written by Daniel Gauthier and published by . This book was released on 1998 with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: We have pursued several research directions on the development, characterization, control and synchronization of nonlinear dynamical systems displaying low dimensional deterministic chaos. The goal of this program is to uncover fundamental issues related to the control and synchronization of nonlinear systems by conducting experiments with novel devices and making precise comparisons between our observations and theoretical predictions. The results of these studies will eventually lead to improved performance of devices that are based on nonlinear systems and to the development of new classes of communication systems. Specifically, we have investigated the control of high speed nonlinear systems including electronic circuits and lasers, and we have explored the conditions under which two nonlinear systems will synchronization in an experimental setting. This research has resulted in 11 publications, 12 invited conference presentations, colloquia, and seminars, 4 distributed conference presentations, one Ph. D. dissertation and several extended contacts with DoD researchers.

Download or read book Analysis of Chaotic Behavior in Non linear Dynamical Systems written by Michał Piórek and published by Springer. This book was released on 2018-07-12 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new approach for the analysis of chaotic behavior in non-linear dynamical systems, in which output can be represented in quaternion parametrization. It offers a new family of methods for the analysis of chaos in the quaternion domain along with extensive numerical experiments performed on human motion data and artificial data. All methods and algorithms are designed to allow detection of deterministic chaos behavior in quaternion data representing the rotation of a body in 3D space. This book is an excellent reference for engineers, researchers, and postgraduate students conducting research on human gait analysis, healthcare informatics, dynamical systems with deterministic chaos or time series analysis.

Download or read book Proceedings of the 5th Experimental Chaos Conference written by Mingzhou Ding and published by World Scientific. This book was released on 2001 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 5th Experimental Chaos Conference was a gathering of scientists and engineers who work on real-world systems that behave in a nonlinear and, often, chaotic fashion. The proceedings present discoveries of chaotic behavior, explanation of nonlinear phenomena in the laboratory, and applications of nonlinear and chaotic effects to devices and techniques for improving performance and surmounting technical obstacles. Experimental work is presented on chaos in semiconductor superlattices, spatiotemporal chaos in magnetic materials, instabilities in magnetic fluids, bifurcations of hexagonal patterns in lasers, and discrete rotating waves. New phenomena are exhibited on amplitude death in coupled oscillators, vortex crystals, wakes in soap films, chaotic dynamics of ocean waves, and microscopic chaos. Applications of chaotic dynamics are offered in the areas of chaotic pulse trains in digital communications, detection of changes in EEGs, detection of unstable periodic orbits in noisy data, cellular automata and warfare, detection of n: m phase synchronization, methods in acoustic chaos, chaos in the machine tool-cutting process, and a nonlinear airfoil. The broad range of topics and fields touches on a wide variety of systems whose behavior is now better understood and applied through the use of chaotic dynamics. Contents: Condensed Matter: Self-Organized Quasiparticles and Other Patterns in Planar Gas-Discharge Systems (H-G Purwins et al.); Controllable Bifurcation Processes in Undoped, Photoexcited GaAs/A1As Superlattices (K J Luo et al.); Control: Analyzing Time-Delay Feedback Systems (R Hegger et al.); Chaos Control in Fast Systems Using Occasional Feedback (N J Corron et al.); Electronics: Characteristic Relations of Type-III Intermittency in an Electronic Circuit (C-M Kim et al.); Chaotic Pulse Trains in Digital Communications (M Sushchik et al.); Spatiotemporal: Continuum Coupled Maps: A Model for Patterns in Vibrated Sand (E Ott & S C Venkataramani); Pattern Control with Spatial Perturbations in a Wide Aperture Laser (R Meucci et al.); Biology: Robust Detection of Dynamical Change in Scalp Egg (P C Gailey et al.); Detection of Unstable Periodic Orbits in Noisy Data, and Choosing the Right Surrogates (K Dolan et al.); Synchronization: Experimental Manifestations of Phase and Lag Synchronizations in Coupled Chaotic Systems (Y-C Lai et al.); Amplitude Death in Coupled Opto-Thermal Oscillators (R Herrero et al.); Banquet Talk: Case Study in OC Experimental ComplexityOCO OCo An Artificial-Life Approach to Modeling Warfare (A Ilachinski); Optics: Adaptive Control of Strong Chaos (F T Arecchi); Optical Implementation of Chaotic Maps with Mach-Zehnder Interferometers (K Umeno et al.); Quantum Chaos: Methods in Acoustic Chaos (C Ellegaard & K Schaadt); Mechanics: Stability Transitions in a Nonlinear Airfoil (L Virgin et al.); Ray Chaos in Quadratic Index Media: A Non-Mechanical Application of Mechanics (R Tagg & M Asadi-Zeydabadi); Hydrodynamics: Dynamics, Statistics and Vortex Crystals in the Relaxation of 2D Turbulence (C F Driscoll et al.); Growth of Disordered Features in a Two-Dimensional Cylinder Wake (P Vorobieff & R E Ecke); General: Experimental Evidence for Microscopic Chaos (M E Briggs et al.); Magnetic Resonance Imaging of Structure and Coarsening in Three-Dimensional Foams (B A Prause & J A Glazier); and other papers. Readership: Nonlinear and computer scientists, physicists, biomedical/chemical/mechanical engineers, as well as researchers and graduate students in the field of chaos."

Download or read book Space time Chaos Characterization Control And Synchronization written by Stefano Boccaletti and published by World Scientific. This book was released on 2001-03-09 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive overview of the topics related to characterization, control and synchronization of complex spatiotemporal phenomena, from both a theoretical and an experimental point of view. It describes applications of these processes in applied mathematics, signal analysis, nonlinear optics, fluid dynamics, chemical reactions, electronic circuits, etc.

Download or read book Experimental Chaos Proceedings Of The 3rd Conference written by Robert G Harrison and published by World Scientific. This book was released on 1996-10-16 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the third in our unique series on experimental chaos, brings together from a broad range of disciplines, some of the exciting developments of the last two years concerned with the observations, measurements and applications of nonlinear dynamical behaviour. Included are chaos, spatio-temporal chaos and patterns, control of chaos, time series analysis and characterization, pattern recognitions and signal processing. The subjects covered include optics, fluids, condensed matter, astrophysics, biological, chemical and medical sciences, engineering, metreorology and oceanography.

Download or read book Fractals and Chaos written by Paul S. Addison and published by CRC Press. This book was released on 1997-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects that have attracted immense interest throughout the scientific and engineering disciplines. The book may be used in part or as a whole to form an introductory course in either or both subject areas. A prominent feature of the book is the use of many illustrations to convey the concepts required for comprehension of the subject. In addition, plenty of problems are provided to test understanding. Advanced mathematics is avoided in order to provide a concise treatment and speed the reader through the subject areas. The book can be used as a text for undergraduate courses or for self-study.

Download or read book Coping with Chaos written by Edward Ott and published by Wiley-VCH. This book was released on 1994-09-27 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first unified presentation of new developments in the analysis and exploitation of chaotic systems... Mathematicians have been aware of chaotic dynamics since Poincar?'s work at the turn of the century. But, as the turn of yet another century approaches, physical scientists and engineers have begun to use their understanding of chaos theory to analyze chaotic experimental time series data. Some researchers have even used the presence of chaos to achieve practical goals. To do this, they have had to work with dynamical processes for which the equations were either not known or were too complex to be useful. In other words, they have been coping with chaos. Coping with Chaos is the first book to bring together recent advances in the interpretive and practical applications of chaos, which hold great promise for broad applicability throughout the physical sciences and engineering. Together with an introduction to chaos theory, this book provides detailed reports on methods of analyzing experimental time series data from chaotic systems and studies in which the unique attributes of chaos are put to practical use. Topics discussed in this book include: * Theory of chaotic dynamics * Embedding techniques for the analysis of experimental data * Calculation of dimension and Lyapunov exponents * Determination of periodic orbits and symbolic dynamics * Prediction of chaotic time series * Noise filtering of chaotic data * Control of chaotic systems * The use of chaotic signals for communication * And more

Download or read book Proceedings of the 3rd Experimental Chaos Conference written by Robert G. Harrison and published by World Scientific Publishing Company Incorporated. This book was released on 1996 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Nonlinearity and Chaos in Engineering Dynamics written by J. M. T. Thompson and published by Wiley. This book was released on 1994-12-20 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the latest research of leading international groups in theoretical and applied dynamics. It starts with a general introduction to the basic concepts of nonlinear dynamics and chaos. Also includes topics on nonlinear problems of structural, mechanical, aerospace and naval engineering; topological and computer methods; cell mapping and global analysis; control of chaos; experimental studies; time series analysis and phase-space reconstruction.

Download or read book Handbook of Applications of Chaos Theory written by Christos H. Skiadas and published by CRC Press. This book was released on 2017-12-19 with total page 934 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study. Handbook of Applications of Chaos Theory covers the main parts of chaos theory along with various applications to diverse areas. Expert contributors from around the world show how chaos theory is used to model unexplored cases and stimulate new applications. Accessible to scientists, engineers, and practitioners in a variety of fields, the book discusses the intermittency route to chaos, evolutionary dynamics and deterministic chaos, and the transition to phase synchronization chaos. It presents important contributions on strange attractors, self-exciting and hidden attractors, stability theory, Lyapunov exponents, and chaotic analysis. It explores the state of the art of chaos in plasma physics, plasma harmonics, and overtone coupling. It also describes flows and turbulence, chaotic interference versus decoherence, and an application of microwave networks to the simulation of quantum graphs. The book proceeds to give a detailed presentation of the chaotic, rogue, and noisy optical dissipative solitons; parhelic-like circle and chaotic light scattering; and interesting forms of the hyperbolic prism, the Poincaré disc, and foams. It also covers numerous application areas, from the analysis of blood pressure data and clinical digital pathology to chaotic pattern recognition to economics to musical arts and research.

Download or read book Chaos in Ecology written by J. M. Cushing and published by Elsevier. This book was released on 2003 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos in Ecology is a convincing demonstration of chaos in a biological population. The book synthesizes an ecologically focused interdisciplinary blend of non-linear dynamics theory, statistics, and experimentation yielding results of uncommon clarity and rigor. Topics include fundamental issues that are of general and widespread importance to population biology and ecology. Detailed descriptions are included of the mathematical, statistical, and experimental steps they used to explore nonlinear dynamics in ecology. Beginning with a brief overview of chaos theory and its implications for ecology. The book continues by deriving and rigorously testing a mathematical model that is closely wedded to biological mechanisms of their research organism. Therefrom were generated a variety of predictions that are fundamental to chaos theory and experiments were designed and analyzed to test those predictions. Discussion of patterns in chaos and how they can be investigated using real data follows and book ends with a discussion of the salient lessons learned from this research program Book jacket.