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This book examines discrete dynamical systems with memory—nonlinear systems that exist extensively in biological organisms and financial and economic organizations, and time-delay systems that can be discretized into the memorized, discrete dynamical systems. It book further discusses stability and bifurcations of time-delay dynamical systems that can be investigated through memorized dynamical systems as well as bifurcations of memorized nonlinear dynamical systems, discretization methods of time-delay systems, and periodic motions to chaos in nonlinear time-delay systems. The book helps readers find analytical solutions of MDS, change traditional perturbation analysis in time-delay systems, detect motion complexity and singularity in MDS; and determine stability, bifurcation, and chaos in any time-delay system.
This book explores recent developments in theoretical research and data analysis of real-world complex systems, organized in three parts, namely Entropy, information, and complexity functions Multistability, oscillations, and rhythmic synchronization Diffusions, rotation, and convection in fluids The collection of works devoted to the memory of Professor Valentin Afraimovich provides a deep insight into the recent developments in complexity science by introducing new concepts, methods, and applications in nonlinear dynamical systems covering physical problems and mathematical modelling relevant to economics, genetics, engineering vibrations, as well as classic problems in physics, fluid and climate dynamics, and urban dynamics. The book facilitates a better understanding of the mechanisms and phenomena in nonlinear dynamics and develops the corresponding mathematical theory to apply nonlinear design to practical engineering. It can be read by mathematicians, physicists, complex systems scientists, IT specialists, civil engineers, data scientists, and urban planners.
This volume is the first of the new series Advances in Dynamics and Delays. It offers the latest advances in the research of analyzing and controlling dynamical systems with delays, which arise in many real-world problems. The contributions in this series are a collection across various disciplines, encompassing engineering, physics, biology, and economics, and some are extensions of those presented at the IFAC (International Federation of Automatic Control) conferences since 2011. The series is categorized in five parts covering the main themes of the contributions: · Stability Analysis and Control Design · Networks and Graphs · Time Delay and Sampled-Data Systems · Computational and Software Tools · Applications This volume will become a good reference point for researchers and PhD students in the field of delay systems, and for those willing to learn more about the field, and it will also be a resource for control engineers, who will find innovative control methodologies for relevant applications, from both theory and numerical analysis perspectives.
Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions.It focuses on the study of spatially extended systems, i.e., cellular automata and other related discrete complex systems. Thus, arrays of locally connected finite state machines, or cells, update their states simultaneously, in discrete time, by the same transition rule. The classical dynamics in these systems is Markovian: only the actual configuration is taken into account to generate the next one.Generalizing the conventional view on spatially extended discrete dynamical systems evolution by allowing cells (or nodes) to be featured by some trait state computed as a function of its own previous state-values, the transition maps of the classical systems are kept unaltered, so that the effect of memory can be easily traced.The book demonstrates that discrete dynamical systems with memory are not only priceless tools for modeling natural phenomena but unique mathematical and aesthetic objects.
In the mathematical description of a physical or biological process, it is a common practice \0 assume that the future behavior of Ihe process considered depends only on the present slate, and therefore can be described by a finite sct of ordinary diffe rential equations. This is satisfactory for a large class of practical systems. However. the existence of lime-delay elements, such as material or infonnation transport, of tcn renders such description unsatisfactory in accounting for important behaviors of many practical systems. Indeed. due largely to the current lack of effective metho dology for analysis and control design for such systems, the lime-delay elements arc often either neglected or poorly approximated, which frequently results in analysis and simulation of insufficient accuracy, which in turns leads to poor performance of the systems designed. Indeed, it has been demonstrated in the area of automatic control that a relatively small delay may lead to instability or significantly deteriora ted perfonnances for the corresponding closed-loop systems.
Vibration Testing and System Dynamics is an interdisciplinary journal serving as the forum for promoting dialogues among engineering practitioners and research scholars. As the platform for facilitating the synergy of system dynamics, testing, design, modeling, and education, the journal publishes high-quality, original articles in the theory and applications of dynamical system testing. The aim of the journal is to stimulate more research interest in and attention for the interaction of theory, design, and application in dynamic testing. Manuscripts reporting novel methodology design for modelling and testing complex dynamical systems with nonlinearity are solicited. Papers on applying modern theory of dynamics to real-world issues in all areas of physical science and description of numerical investigation are equally encouraged. Progress made in the following topics are of interest, but not limited, to the journal: Vibration testing and designDynamical systems and controlTesting instrumentation and controlComplex system dynamics in engineeringDynamic failure and fatigue theoryChemical dynamics and bio-systemsFluid dynamics and combustionPattern dynamicsNetwork dynamicsPlasma physics and plasma dynamicsControl signal synchronization and trackingBio-mechanical systems and devicesStructural and multi-body dynamicsFlow or heat-induced vibrationMass and energy transfer dynamicsWave propagation and testing
The three-volume Encyclopedia of Behavior Modification and Cognitive Behavior Therapy provides a thorough examination of the components of behavior modification, behavior therapy, cognitive behavior therapy, and applied behavior analysis for both child and adult populations in a variety of settings. Although the focus is on technical applications, entries also provide the historical context in which behavior therapists have worked, including research issues and strategies. Entries on assessment, ethical concerns, theoretical differences, and the unique contributions of key figures in the movement (including B. F. Skinner, Joseph Wolpe, Aaron T. Beck, and many others) are also included. No other reference source provides such comprehensive treatment of behavior modification—history, biography, theory, and application. Thematic Coverage The first of the thematic volumes covers Adult Clinical Applications. Adults are the most common population encountered by researchers, clinicians, and students, and therefore more than 150 entries were needed to cover all necessary methods. The second volume covers Child Clinical Applications in 140 entries. One especially useful aspect of this volume will be the complications sections, addressing "what can go wrong" in working with children. This is an area often overlooked in journal articles on the subject. Volume III, Educational Applications, addresses a range of strategies and principles of applied behavior analysis, positive behavior support, and behavior modification and therapy. These entries focus on classroom and school contexts in which the instructional and behavioral interactions between teachers and their learners are emphasized. Unique, Easy-to-Follow Format Each of the volumes′ entries address a full range of mental health conditions and their respective treatments, with the aim of providing systematic and scientific evaluation of clinical interventions in a fashion which will lend itself to the particular style of treatment common to behavior modification. Major entries for specific strategies follow a similar format: 1. Description of the Strategy 2. Research Basis 3. Relevant Target Populations and Exceptions 4. Complications 5. Case Illustration 6. Suggested Readings 7. Key Words Biographical sketches include the following: 1. Birthplace and Date 2. Early Influences 3. Education History 4. Professional Models 5. Major Contributions to the Field 6. Current Work and Views 7. Future Plans Readership This encyclopedia was designed to enhance the resources available to students, scholars, practitioners, and other interested social science readers. The use of in-text citations, jargon, and descriptions of research designs and statistics has been minimized, making this an accessible, comprehensive resource for students and scholars alike. Academic and research librarians in the social sciences, health, and medicine will all find this an invaluable addition to their collections. Key Features Three thematic volumes and over 430 total entries Five anchor articles in each volume provide context on major issues within the field Key words and lists of suggested readings follow each entry Contributions by internationally renowned authors from England, Germany, Canada, Australia, New Zealand, and the United States Volume Editors Volume I: Adult Clinical Applications Michel Hersen & Johan Rosqvist Pacific University Volume II: Child Clinical Applications Alan M. Gross & Ronald S. Drabman University of Mississippi Volume III: Educational Applications George Sugai & Robert Horner University of Oregon Advisory Board Thomas M. Achenbach, Ph.D. Department of Psychiatry, University of Vermont Stewart W. Agras, M.D. Department of Psychiatry & Behavioral Science, Stanford University School of Medicine David H. Barlow, Ph.D., ABPP Center of Anxiety and Related Disorders, Boston University Alan S. Bellack, Ph.D., ABPP Department of Psychiatry, University of Maryland School of Medicine Edward B. Blanchard, Ph.D. Department of Psychology, University of Albany, SUNY James E. Carr, Ph.D. Department of Psychology, Western Michigan University Anthony J. Cuvo, Ph.D. Rehabilitation Institute, Southern Illinois University Gerald C. Davison, Ph.D. Department of Psychology, University of Southern California Eric F. Dubow, Ph.D. Psychology Department, Bowling Green State University Rex L. Forehand, Ph.D. Psychology Department, University of Vermont Arnold A. Lazarus, Ph.D., ABPP Center for Multimodal Psychological Services Robert P. Liberman, M.D. Department of Psychiatry, West Louisiana VA Medical Center Scott O. Lilienfeld, Ph.D. Department of Psychology, Emory University Marsha M. Linehan, Ph.D., ABPP Department of Psychology, University of Washington Nathaniel McConaghy, DSc, M.D. School of Psychiatry, University of N.S.W, Australia Rosemery O. Nelson-Gray, Ph.D. Department of Psychology, University of North Carolina, Greensboro Lars-Göran Öst, Ph.D. Department of Psychology, Stockholms Universitet, Sweden Alan D. Poling, Ph.D. Department of Psychology, Western Michigan University Wendy K. Silverman, Ph.D. Department of Psychology, Florida International University Gail Steketee, Ph.D. School of Social Work, Boston University Douglas W. Woods, Ph.D. Department of Psychology, University of Wisconsin, Milwaukee
This book presents a step-by-step guide to the engine control system design, providing case studies and a thorough analysis of the modeling process using machine learning, and model predictive control (MPC). Covering advanced processes alongside the theoretical foundation, MPC enables engineers to improve performance in both hybrid and non-hybrid vehicles. Control system improvement is one of the major priorities for engineers seeking to enhance an engine. Often possible on a low budget, substantial improvements can be made by applying cutting-edge methods, such as artificial intelligence when modeling engine control system designs and using MPC. This book presents approaches to control system improvement at mid, low, and high levels of control. Beginning with the model-in-the-loop hierarchical control design of ported fuel injection SI engines, this book focuses on optimal control of both transient and steady state and also discusses hardware-in-the-loop. The chapter on low-level control discusses adaptive MPC and adaptive variable functioning, as well as designing a fuel injection feed-forward controller. At mid-level control, engine calibration maps are discussed, with consideration of constraints such as limits on pollutant emissions. Finally, the high-level control methodology is discussed in detail in relation to transient torque control of SI engines. This comprehensive yet clear guide to control system improvement is an essential read for any engineer working in automotive engineering and engine control system design.