Oscillatory Evolution Processes

Author : Igor Gumowski
Publisher : Manchester University Press
ISBN 13 : 9780719022128
Total Pages : 344 pages
Book Rating : 4.26/5 ( download)

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Download or read book Oscillatory Evolution Processes written by Igor Gumowski and published by Manchester University Press. This book was released on 1989 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Very Good,No Highlights or Markup,all pages are intact.

Author : Yves Meyer
Publisher : American Mathematical Soc.
ISBN 13 : 9780821829202
Total Pages : 138 pages
Book Rating : 4.03/5 ( download)

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Download or read book Oscillating Patterns in Image Processing and Nonlinear Evolution Equations written by Yves Meyer and published by American Mathematical Soc.. This book was released on 2001 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of ``oscillating patterns'', which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals. The first chapter of this book considers image processing, moreprecisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and theiruse in the detection of gravitational waves are covered in the final chapter. In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities. This book is based on the ``Dean Jacqueline B. Lewis Memorial Lectures'' given bythe author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously inmonograph literature.

Author : Margarita G. Kuzmina
Publisher : Walter de Gruyter
ISBN 13 : 3110269201
Total Pages : 172 pages
Book Rating : 4.08/5 ( download)

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Download or read book Oscillatory Neural Networks written by Margarita G. Kuzmina and published by Walter de Gruyter. This book was released on 2013-11-27 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding of the human brain functioning currently represents a challenging problem. In contrast to usual serial computers and complicated hierarchically organized artificial man-made systems, decentralized, parallel and distributed information processing principles are inherent to the brain. Besides adaptation and learning, which play a crucial role in brain functioning, oscillatory neural activity, synchronization and resonance accompany the brain work. Neural-like oscillatory network models, designed by the authors for image processing, allow to elucidate the capabilities of dynamical, synchronization-based types of image processing, presumably exploited by the brain. The oscillatory network models, studied by means of computer modeling and qualitative analysis, are presented and discussed in the book. Some other problems of parallel distributed information processing are also considered, such as a recall process from network memory for large-scale recurrent associative memory neural networks, performance of oscillatory networks of associative memory, dynamical oscillatory network methods of image processing with synchronization-based performance, optical parallel information processing based on the nonlinear optical phenomenon of photon echo, and modeling random electric fields of quasi-monochromatic polarized light beams using systems of superposed stochastic oscillators. This makes the book highly interesting to researchers dealing with various aspects of parallel information processing.

Author : Yves Meyer
Publisher : American Mathematical Soc.
ISBN 13 : 9781470421694
Total Pages : 122 pages
Book Rating : 4.90/5 ( download)

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Download or read book Oscillating Patterns in Image Processing and Nonlinear Evolution Equations written by Yves Meyer and published by American Mathematical Soc.. This book was released on 2001 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: Image compression, the Navier-Stokes equations, and detection of gravitational waves are three seemingly unrelated scientific problems that, remarkably, can be studied from one perspective. The notion that unifies the three problems is that of ``oscillating patterns'', which are present in many natural images, help to explain nonlinear equations, and are pivotal in studying chirps and frequency-modulated signals. The first chapter of this book considers image processing, more precisely algorithms of image compression and denoising. This research is motivated in particular by the new standard for compression of still images known as JPEG-2000. The second chapter has new results on the Navier-Stokes and other nonlinear evolution equations. Frequency-modulated signals and their use in the detection of gravitational waves are covered in the final chapter. In the book, the author describes both what the oscillating patterns are and the mathematics necessary for their analysis. It turns out that this mathematics involves new properties of various Besov-type function spaces and leads to many deep results, including new generalizations of famous Gagliardo-Nirenberg and Poincare inequalities. This book is based on the ``Dean Jacqueline B. Lewis Memorial Lectures'' given by the author at Rutgers University. It can be used either as a textbook in studying applications of wavelets to image processing or as a supplementary resource for studying nonlinear evolution equations or frequency-modulated signals. Most of the material in the book did not appear previously in monograph literature.

Author : Anne Keitel
Publisher : Frontiers Media SA
ISBN 13 : 2889454584
Total Pages : 199 pages
Book Rating : 4.87/5 ( download)

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Download or read book Brain Oscillations in Human Communication written by Anne Keitel and published by Frontiers Media SA. This book was released on 2018-04-20 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brain oscillations, or neural rhythms, reflect widespread functional connections between large-scale neural networks, as well as within cortical networks. As such they have been related to many aspects of human behaviour. An increasing number of studies have demonstrated the role of brain oscillations at distinct frequency bands in cognitive, sensory and motor tasks. Consequentially, those rhythms also affect diverse aspects of human communication. On the one hand, this comprises verbal communication; a field where the understanding of neural mechanisms has seen huge advances in recent years. Speech is inherently organised in a rhythmic manner. For example, time scales of phonemes and syllables, but also formal prosodic aspects such as intonation and stress, fall into distinct frequency bands. Likewise, neural rhythms in the brain play a role in speech segmentation and coding of continuous speech at multiple time scales, as well as in the production of speech. On the other hand, human communication involves widespread and diverse nonverbal aspects where the role of neural rhythms is far less understood. This can be the enhancement of speech processing through visual signals, thought to be guided via brain oscillations, or the conveying of emotion, which results in differential rhythmic modulations in the observer. Additionally, body movements and gestures often have a communicative purpose and are known to modulate sensorimotor rhythms in the observer. This Research Topic of Frontiers in Human Neuroscience highlights the diverse aspects of human communication that are shaped by rhythmic activity in the brain. Relevant contributions are presented from various fields including cognitive and social neuroscience, neuropsychiatry, and methodology. As such they provide important new insights into verbal and non-verbal communication, pathological changes, and methodological innovations.

Author : Tomasz Kapitaniak
Publisher : Manchester University Press
ISBN 13 : 9780719033643
Total Pages : 240 pages
Book Rating : 4.40/5 ( download)

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Download or read book Chaotic Oscillations in Mechanical Systems written by Tomasz Kapitaniak and published by Manchester University Press. This book was released on 1991 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Artur J. Jaworski
Publisher : MDPI
ISBN 13 : 3038427101
Total Pages : 179 pages
Book Rating : 4.00/5 ( download)

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Download or read book Heat Transfer Processes in Oscillatory Flow Conditions written by Artur J. Jaworski and published by MDPI. This book was released on 2018-04-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a printed edition of the Special Issue "Heat Transfer Processes in Oscillatory Flow Conditions" that was published in Applied Sciences

Author : George Modelski
Publisher : Routledge
ISBN 13 : 1135977631
Total Pages : 574 pages
Book Rating : 4.34/5 ( download)

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Download or read book Globalization as Evolutionary Process written by George Modelski and published by Routledge. This book was released on 2007-12-20 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term globalization has gained widespread popularity; yet most treatments are either descriptive and/or focused on changes in economic interconnectivity. In this volume the concept is seen in broader terms as leading international experts from a range of disciplines develop a long-term analysis to address the problems of globalization. The editors and contributors develop a framework for understanding the origins and trajectory of contemporary world trends, constructing testable and verifiable models of globalization. They demonstrate how the evolutionary approach allows us to view globalization as an enterprise of the human species as a whole focusing on the analytical problem of global change and the rules governing those changes. The emphasis is not on broad-based accounts of the course of world affairs but, selectively, on processes that reshape the social of the human species, the making of world opinion and the innovations that animate these developments. Chapters are clustered into four foci. One emphasizes the interpretation of globalization as an explicitly evolutionary process. A second looks at historical sequences of such phenomena as population growth or imperial rise and decline as processes that can be modeled and not purely described. The third cluster examines ongoing changes in economic processes, especially information technology. A final cluster takes on some of the challenges associated with forecasting and simulating the complexities of globalization processes. This innovative and important volume will be of interest to students and scholars across the social sciences concerned with the phenomenon of globalization.

Author : Mark A. Pinsky
Publisher : World Scientific
ISBN 13 : 9789810205591
Total Pages : 158 pages
Book Rating : 4.97/5 ( download)

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Download or read book Lectures on Random Evolution written by Mark A. Pinsky and published by World Scientific. This book was released on 1991 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random evolution denotes a class of stochastic processes which evolve according to a rule which varies in time according to jumps. This is in contrast to diffusion processes, which assume that the rule changes continuously with time. Random evolutions provide a very flexible language, having the advantage that they permit direct numerical simulation-which is not possible for a diffusion process. Furthermore, they allow connections with hyperbolic partial differential equations and the kinetic theory of gases, which is impossible within the domain of diffusion proceses. They also posses great geometric invariance, allowing formulation on an arbitrary Riemannian manifold. In the field of stochastic stability, random evolutions furnish some easily computable models in which to study the Lyapunov exponent and rotation numbers of oscillators under the influence of noise. This monograph presents the various aspects of random evolution in an accessible and interesting format which will appeal to a large scientific audience.

Author : Vladimir I. Nekorkin
Publisher : John Wiley & Sons
ISBN 13 : 352768543X
Total Pages : 264 pages
Book Rating : 4.31/5 ( download)

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Download or read book Introduction to Nonlinear Oscillations written by Vladimir I. Nekorkin and published by John Wiley & Sons. This book was released on 2016-05-02 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: A systematic outline of the basic theory of oscillations, combining several tools in a single textbook. The author explains fundamental ideas and methods, while equally aiming to teach students the techniques of solving specific (practical) or more complex problems. Following an introduction to fundamental notions and concepts of modern nonlinear dynamics, the text goes on to set out the basics of stability theory, as well as bifurcation theory in one and two-dimensional cases. Foundations of asymptotic methods and the theory of relaxation oscillations are presented, with much attention paid to a method of mappings and its applications. With each chapter including exercises and solutions, including computer problems, this book can be used in courses on oscillation theory for physics and engineering students. It also serves as a good reference for students and scientists in computational neuroscience.