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.

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.

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.

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.

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.

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:

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

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.

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.

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.

Download or read book Analysis of Evolutionary Processes written by Fabio Dercole and published by Princeton University Press. This book was released on 2008-02-11 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantitative approaches to evolutionary biology traditionally consider evolutionary change in isolation from an important pressure in natural selection: the demography of coevolving populations. In Analysis of Evolutionary Processes, Fabio Dercole and Sergio Rinaldi have written the first comprehensive book on Adaptive Dynamics (AD), a quantitative modeling approach that explicitly links evolutionary changes to demographic ones. The book shows how the so-called AD canonical equation can answer questions of paramount interest in biology, engineering, and the social sciences, especially economics. After introducing the basics of evolutionary processes and classifying available modeling approaches, Dercole and Rinaldi give a detailed presentation of the derivation of the AD canonical equation, an ordinary differential equation that focuses on evolutionary processes driven by rare and small innovations. The authors then look at important features of evolutionary dynamics as viewed through the lens of AD. They present their discovery of the first chaotic evolutionary attractor, which calls into question the common view that coevolution produces exquisitely harmonious adaptations between species. And, opening up potential new lines of research by providing the first application of AD to economics, they show how AD can explain the emergence of technological variety. Analysis of Evolutionary Processes will interest anyone looking for a self-contained treatment of AD for self-study or teaching, including graduate students and researchers in mathematical and theoretical biology, applied mathematics, and theoretical economics.

Download or read book The Earth s Free Oscillations written by Oleg V. Petrov and published by Springer Nature. This book was released on 2021-01-29 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the formulations and solutions of the wave equation for the Earth’s free oscillations concerning the particular nodal, bifurcation, perspectival, and projective reference points within the framework of the three “great geometries” of Euclid, Lobachevsky, and Riemann. When studying the relationship between the propagation velocity of various types of bulk and surface seismic waves with radial, spheroidal, and torsional eigen oscillations of the Earth having corresponding periods, we are struck by the fundamental problem of obtaining reference points that allow physical meaning to be attributed to all these discrete oscillatory and continuous wave phenomena that occur in nature. Several unsuccessful attempts tried to unify the relationship of discrete oscillations and the velocity of waves and light occurring in seismology and other phenomena associated with gravity and matter, using a three-dimensional visual space-time model continuous Euclidean space. Using simple and illustrative examples for describing the free oscillations of the Earth and taking into account new visible event horizons related to the velocity of waves and light propagation, the author formulated and solved the fundamental wave equation of nature in the form of the three “great theorems”: Galilean, Lorentz, and Poincaré spatiotemporal transformations.

Download or read book The Origin of Life and Evolutionary Biochemistry written by K. Dose and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historical Introduction: A.I. Oparin and the Origin of Life.- Chapters in Honor of "Proiskhozhdenie Zhizni" and A. I, Oparin.- Protein Structure and the Molecular Evolution of Biological Energy Conversion.- Condensation Reactions of Lysine in the Presence of Polyadenylic Acid.- Considerations of the Origin of Spontaneous Mutations.- Pre-Enzymic Emergence of Biochemical Metabolism.- The Methods of Science and the Origins of Life.- Phospholipid Monolayers-As a Prototype of Biological Membranes.- Peptides and Amino Acids in the Primordial Hydrosphere.- Amino Acids and Carbohydrates in Precambria.

Download or read book Rhythmic Oscillations in Proteins to Human Cognition written by Anirban Bandyopadhyay and published by Springer Nature. This book was released on 2020-10-29 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores various aspects of biophysics, from neurobiology to quantum biology and the consciousness of human beings and in the universe. It examines eight different areas of natural intelligence, ranging from time crystals found in chemical biology, to the vibrations and the resonance of proteins, and also discusses hierarchical communication in various biological systems. Written by senior and experts in the field in language that is lucid and easy to understand, it is a valuable reference resource for researchers and practitioners in academia and industry.

Download or read book The Oscillatory Nature of Language written by Elliot Murphy and published by Cambridge University Press. This book was released on 2020-11-05 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: Develops a theory of how language is processed in the brain and provides a state-of-the-art review of current neuroscientific debates.

Download or read book Periodic Oscillations in Lake Erie written by Frederick Hartzler Krecker and published by . This book was released on 1928 with total page 864 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Temporal Disorder in Human Oscillatory Systems written by Ludger Rensing and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rhythms of the heart and of the nervous and endocrine system, breathing, locomotory movements, sleep, circadian rhythms and tissue cell cycles are major elements of the temporal order of man. The dynamics of these systems are characterized by changes in the properties of an oscillator, transitions from oscillatory states into chaotic or stationary states, and vice versa, coupling or uncoupling between two or more oscillators. Any deviation from the normal range to either more or less ordered states may be defined as temporal disorder. Pathological changes of temporal organization, such as tremor, epileptic seizures, Cheyne-Stokes breathing, cardiac arrhythmicities and circadian desynchronization, may be caused by small changes in the order (control) parameters. One major aspect of the symposium was the analysis of characteristic features of these temporal control systems, including nonlinear dynamics of interactions, positive, negative and mixed feedback systems, temporal delays, and their mathematical description and modelling. The ultimate goal is a better understanding of the principles of temporal organization in order to treat periodic diseases or other perturbations of "normal" dynamics in human oscillatory systems.