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Chaos and Stability in Planetary Systems
Authors: --- ---
ISBN: 9783540282082 3540282084 3540345566 Year: 2005 Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,

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This book is intended as an introduction to the field of planetary systems at the postgraduate level. It consists of four extensive lectures on Hamiltonian dynamics, celestial mechanics, the structure of extrasolar planetary systems and the formation of planets. As such, this volume is particularly suitable for those who need to understand the substantial connections between these different topics.

Synchronization : a universal concept in nonlinear sciences
Authors: --- ---
ISBN: 9786612389023 1282389025 0511642830 0511202148 0511077521 0511555946 0511755740 052153352X 0511075952 9780521533522 9780521592857 9780511755743 110711439X 9780511077524 9780511075957 0521592852 9781282389021 0521592852 6612389028 9780511642838 9780511202148 9780511555947 Year: 2003 Volume: 12 Publisher: Cambridge: Cambridge university press,

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First recognized in 1665 by Christiaan Huygens, synchronization phenomena are abundant in science, nature, engineering and social life. Systems as diverse as clocks, singing crickets, cardiac pacemakers, firing neurons and applauding audiences exhibit a tendency to operate in synchrony. These phenomena are universal and can be understood within a common framework based on modern nonlinear dynamics. The first half of this book describes synchronization without formulae, and is based on qualitative intuitive ideas. The main effects are illustrated with experimental examples and figures, and the historical development is outlined. The remainder of the book presents the main effects of synchronization in a rigorous and systematic manner, describing classical results on synchronization of periodic oscillators, and recent developments in chaotic systems, large ensembles, and oscillatory media. This comprehensive book will be of interest to a broad audience, from graduate students to specialist researchers in physics, applied mathematics, engineering and natural sciences.


Book
Chaos and Stability in Planetary Systems
Authors: --- --- ---
ISBN: 9783540345565 Year: 2005 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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This book is intended as an introduction to the field of planetary systems at the postgraduate level. It consists of four extensive lectures on Hamiltonian dynamics, celestial mechanics, the structure of extrasolar planetary systems and the formation of planets. As such, this volume is particularly suitable for those who need to understand the substantial connections between these different topics.


Book
Synchronization in Oscillatory Networks
Authors: --- --- ---
ISBN: 9783540712695 Year: 2007 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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The formation of collective behavior in large ensembles or networks of coupled oscillatory elements is one of the oldest and most fundamental aspects of dynamical systems theory. Potential and present applications span a vast spectrum of fields ranging from physics, chemistry, geoscience, through life- and neurosciences to engineering, the economic and the social sciences. This work systematically investigates a large number of oscillatory network configurations that are able to describe many real systems such as electric power grids, lasers or the heart muscle - to name but a few. This book is conceived as an introduction to the field for graduate students in physics and applied mathematics as well as being a compendium for researchers from any field of application interested in quantitative models.


Digital
Lectures in Supercomputational Neurosciences : Dynamics in Complex Brain Networks
Authors: --- --- ---
ISBN: 9783540731597 Year: 2008 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg

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Digital
Mathematical Methods in Signal Processing and Digital Image Analysis
Authors: --- --- ---
ISBN: 9783540756323 Year: 2008 Publisher: Berlin, Heidelberg Springer-Verlag Berlin Heidelberg


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Lectures in Supercomputational Neurosciences : Dynamics in Complex Brain Networks
Authors: --- --- --- ---
ISBN: 9783540731597 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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Computational Neuroscience is a burgeoning field of research where only the combined effort of neuroscientists, biologists, psychologists, physicists, mathematicians, computer scientists, engineers and other specialists, e.g. from linguistics and medicine, seem to be able to expand the limits of our knowledge. The present volume is an introduction, largely from the physicists' perspective, to the subject matter with in-depth contributions by system neuroscientists. A conceptual model for complex networks of neurons is introduced that incorporates many important features of the real brain, such as various types of neurons, various brain areas, inhibitory and excitatory coupling and the plasticity of the network. The computational implementation on supercomputers, which is introduced and discussed in detail in this book, will enable the readers to modify and adapt the algortihm for their own research. Worked-out examples of applications are presented for networks of Morris-Lecar neurons to model the cortical connections of a cat's brain, supported with data from experimental studies. This book is particularly suited for graduate students and nonspecialists from related fields with a general science background, looking for a substantial but "hands-on" introduction to the subject matter.


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Mathematical Methods in Signal Processing and Digital Image Analysis
Authors: --- --- --- ---
ISBN: 9783540756323 Year: 2008 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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The aim of this volume is to bring together research directions in theoretical signal and imaging processing developed rather independently in electrical engineering, theoretical physics, mathematics and the computer sciences. In particular, mathematically justified algorithms and methods, the mathematical analysis of these algorithms, and methods as well as the investigation of connections between methods from time series analysis and image processing are reviewed. An interdisciplinary comparison of these methods, drawing upon common sets of test problems from medicine and geophysical/enviromental sciences, is also addressed. This volume coherently summarizes work carried out in the field of theoretical signal and image processing. It focuses on non-linear and non-parametric models for time series as well as on adaptive methods in image processing.


Book
Nonlinear Dynamics and Chaos: Advances and Perspectives
Authors: --- --- --- --- --- et al.
ISBN: 9783642046292 9783642046605 9783642046285 9783642263453 Year: 2010 Publisher: Berlin Heidelberg Springer Berlin Heidelberg

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This book is a collection of contributions on various aspects of active frontier research in the field of dynamical systems and chaos. Each chapter examines a specific research topic and, in addition to reviewing recent results, also discusses future perspectives. The result is an invaluable snapshot of the state of the field by some of its most important researchers. The first contribution in this book, "How did you get into Chaos?", is actually a collection of personal accounts by a number of distinguished scientists on how they entered the field of chaos and dynamical systems, featuring comments and recollections by James Yorke, Harry Swinney, Floris Takens, Peter Grassberger, Edward Ott, Lou Pecora, Itamar Procaccia, Michael Berry, Giulio Casati, Valentin Afraimovich, Robert MacKay, and last but not least, Celso Grebogi, to whom this volume is dedicated.


Book
Complex Dynamics in Physiological Systems: From Heart to Brain
Authors: --- --- ---
ISBN: 9781402091438 Year: 2009 Publisher: Dordrecht Springer Netherlands

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Nonlinear dynamics has become an important field of research in recent years in many areas of the natural sciences. In particular, it has potential applications in biology and medicine; nonlinear data analysis has helped to detect the progress of cardiac disease, physiological disorders, for example episodes of epilepsy, and others. This book focuses on the current trends of research concerning the prediction of sudden cardiac death and the onset of epileptic seizures, using the nonlinear analysis based on ECG and EEG data. Topics covered include the analysis of cardiac models and neural models. The book is a collection of recent research papers by leading physicists, mathematicians, cardiologists and neurobiologists who are actively involved in using the concepts of nonlinear dynamics to explore the functional behaviours of heart and brain under normal and pathological conditions. This collection is intended for students in physics, mathematics and medical sciences, and researchers in interdisciplinary areas of physics and biology.

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