Chaos In Systems With Noise 2nd Edition
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Chaos in Systems with Noise
As in the first edition, the influence of random noise on the chaotic behavior of dissipative dynamical systems is investigated. Problems are illustrated by mechanical examples. This revised and updated edition contains new sections on the summary of probability theory, homoclinic chaos, Melnikov method, routes to chaos, stabilization of period-doubling, and Hopf bifurcation by noise. Some chapters have been rewritten and new examples have been added.
Universality in Chaos, 2nd edition
Nature provides many examples of physical systems that are described by deterministic equations of motion, but that nevertheless exhibit nonpredictable behavior. The detailed description of turbulent motions remains perhaps the outstanding unsolved problem of classical physics. In recent years, however, a new theory has been formulated that succeeds in making quantitative predictions describing certain transitions to turbulence. Its significance lies in its possible application to large classes (often very dissimilar) of nonlinear systems. Since the publication of Universality in Chaos in 1984, progress has continued to be made in our understanding of nonlinear dynamical systems and chaos. This second edition extends the collection of articles to cover recent developments in the field, including the use of statistical mechanics techniques in the study of strange sets arising in dynamics. It concentrates on the universal aspects of chaotic motions, the qualitative and quantitative predictions that apply to large classes of physical systems. Much like the previous edition, this book will be an indispensable reference for researchers and graduate students interested in chaotic dynamics in the physical, biological, and mathematical sciences as well as engineering.
Information and Measurement, 2nd Edition
Information technology is arguably the most important scientific topic needed for understanding and participating in our increasingly complex technological world. Using simple physical arguments and extensive examples, Information and Measurement, Second Edition shows how this theory can be put into practice. Twice awarded the UK National Metrology Prize by the National Physical Laboratory for his outstanding contributions to measurement science and technology, the author includes the basic mathematical, physical, and engineering concepts required, illustrating their interrelationship in a clear, concise manner. The broad coverage includes topics taught in a variety of courses. This book will be an invaluable study aid for senior undergraduate and graduate students in physics, electrical engineering, and computer science, specifically studying instrumentation, measurement science, and information science. It will also be a useful reference for practicing scientists and engineers.