Proceedings Of The 4th Experimental Chaos Conference

The 4th Experimental Chaos Conference was a forum for members of the scientific and engineering communities to discuss recent developments in, and techniques of, experimental nonlinear dynamics. The focus of this important conference was on actual realizations of nonlinear and chaotic systems. The latest developments in applications of nonlinear dynamics and chaos were presented, the requirement being that all presentations were actually implemented in experiments or devices. The areas covered were spatio-temporal patterns, optical chaos, biological dynamics, communication and synchronization, control of chaotic systems, mechanical dynamics, fluid dynamics, quantum chaos, and chaotic condensed matter systems.

This is the first conference dedicated to the understanding of the experimental aspects of chaotic behavior in several fields and to addressing the emerging areas of data analysis and applications of nonlinear phenomena. Areas covered are data analysis and signal processing techniques, optics, applications of chaotic behavior, magnetism, nonlinear electronic circuits, spatiotemporal chaos, semiconductors, and physiology. Each paper shows real data and what can be done with it. Emphasis is on the manifestation of chaos in real systems, measuring it, analyzing it, and using it in new and unique applications.

The 2nd experimental chaos conference provided a multidisciplinary forum for the scientific and engineering communities to present recent developments of and techniques in nonlinear dynamics. Major themes included control, synchronization, signal detection/characterization and communication. Major fields of interest included lasers, fluids, magnetics, electronics, chemically reacting fluids, cardiology, neurobiology and environmental sciences. Contents:Experimental Studies of Chaotic Mixing (J M Ottino et al)Using Random Maps in the Analysis of Experimental Fluid Flows (J C Sommerer)Chaos, Patterns and Defects in Stimulated Scattering Phenomena (R G Harrison)Test of the Normal Form for a Subcritical Bifurcation (K Wiesenfeld et al)Controlling Symbolic Dynamics for Communication (S Hayes et al)Control of Chaos in a CO2 Laser (J M Perez et al)Transition from Soliton to Chaotic Motion During the Impact of a Nonlinear Structure (M A Davies & F C Moon)Sonoluminescence in a Single Bubble: Periodic, Quasiperiodic and Chaotic Light Source (R G Holt et al)Quantum Chaos Experiments Using Microwave Cavities (A Kudrolli & S Sridhar)When Small Noise Imposed on Deterministic Dynamics Becomes Important (M Franaszek & L Fronzoni)Chaos Control for Cardiac Arrhythmias (J N Weiss et al)Broad-Band Synchronization in Monkey Neocortex (S L Bressler et al)Applicability of Correlation Dimension Calculations to Blood Pressure Signal in Rats (Y Almog et al)Tests for Deterministic Chaos in Noisy Time Series (T Chang et al)The Crayfish Mechanoreceptor Cell: A Biological Example of Stochastic Resonance (E Pantazelou et al)Chaos During Heterogeneous Chemical Reactions (J L Hudson)Stabilizing and Tracking Unstable Periodic Orbits and Stationary States in Chemical Systems (V Petrov et al)Recursive Proportional-Feedback and Its Use to Control Chaos in an Electrochemical System (P Parmananda et al)Temperature Patterns on Catalytic Surfaces (D Luss)and other papers Readership: Physicists, mathematicians, engineers, biologists and chemists.keywords:

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."

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. Contents:Scale Segregation via Formation of Domains in a Nonlinear Optical System (F T Arecchi et al.)Experimental Transition to Chaos in a Quasi 1D Chain of Oscillators (J-M Flesselles & V Croquette)Using Models to Diagnose, Test and Control Chaotic Systems (R Brown)Measuring and Controlling Chaotic Dynamics in a Slugging Fluidized Bed (C S Daw et al.)Solar-Wind-Magnetospheric Dynamics via Satellite Data (S C Chapman et al.)Escape and Overturning: Subtle Transient Behavior in Nonlinear Mechanical Models (L N Virgin)Order and Chaos in Excitable Media under External Forcing (V S Zykov et al.)Instabilities in Semiconductor Lasers with Optical Injection (A Gavrielides)Spatio-Temporal Dynamics of a Bimode CO2 Laser with Saturable Absorber (C Lepers et al.)The Application of Nonlinear Dynamics in the Study of Ferroelectric Materials (S Blochwitz et al.)Cellular Convection in a Small Aspect Ratio Liquid Crystal Device (D J Binks & T Mullin)Controlling a Chaotic Array of Pulse-Coupled Fitzhugh-Nagumo Circuits (T L Carroll)Phase Lock-In of Chaotic Relaxation Oscillators (A Volkovskii)and other papers Readership: Physicists, chemists, mathematicians and biologists. keywords:Nonlinear;Optical;Chaos;Oscillators;Dynamics;Spatio-Temporal;Time Analysis;Patterns;Signal Processing

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.

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

Aims to reinforce the interface between physical sciences, theoretical computer science, and discrete mathematics. This book assembles theoretical physicists and specialists of theoretical informatics and discrete mathematics in order to learn about developments in cryptography, algorithmics, and more.