Dynamic Patterns

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Author :
Release : 1995
Genre : Behavior
Kind :
Book Rating : 312/5 ( reviews)

Dynamic Patterns - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Dynamic Patterns write by J. A. Scott Kelso. This book was released on 1995. Dynamic Patterns available in PDF, EPUB and Kindle. foreword by Hermann Haken For the past twenty years Scott Kelso's research has focused on extending the physical concepts of self- organization and the mathematical tools of nonlinear dynamics to understand how human beings (and human brains) perceive, intend, learn, control, and coordinate complex behaviors. In this book Kelso proposes a new, general framework within which to connect brain, mind, and behavior.Kelso's prescription for mental life breaks dramatically with the classical computational approach that is still the operative framework for many newer psychological and neurophysiological studies. His core thesis is that the creation and evolution of patterned behavior at all levels--from neurons to mind--is governed by the generic processes of self-organization. Both human brain and behavior are shown to exhibit features of pattern-forming dynamical systems, including multistability, abrupt phase transitions, crises, and intermittency. Dynamic Patterns brings together different aspects of this approach to the study of human behavior, using simple experimental examples and illustrations to convey essential concepts, strategies, and methods, with a minimum of mathematics. Kelso begins with a general account of dynamic pattern formation. He then takes up behavior, focusing initially on identifying pattern-forming instabilities in human sensorimotor coordination. Moving back and forth between theory and experiment, he establishes the notion that the same pattern-forming mechanisms apply regardless of the component parts involved (parts of the body, parts of the nervous system, parts of society) and the medium through which the parts are coupled. Finally, employing the latest techniques to observe spatiotemporal patterns of brain activity, Kelso shows that the human brain is fundamentally a pattern forming dynamical system, poised on the brink of instability. Self-organization thus underlies the cooperative action of neurons that produces human behavior in all its forms.

Pattern Formation and Dynamics in Nonequilibrium Systems

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Author :
Release : 2009-07-16
Genre : Mathematics
Kind :
Book Rating : 505/5 ( reviews)

Pattern Formation and Dynamics in Nonequilibrium Systems - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Pattern Formation and Dynamics in Nonequilibrium Systems write by Michael Cross. This book was released on 2009-07-16. Pattern Formation and Dynamics in Nonequilibrium Systems available in PDF, EPUB and Kindle. An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

The Dynamics Of Pattern

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Release : 2000-10-31
Genre : Science
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Book Rating : 356/5 ( reviews)

The Dynamics Of Pattern - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Dynamics Of Pattern write by Alexander B Ezersky. This book was released on 2000-10-31. The Dynamics Of Pattern available in PDF, EPUB and Kindle. Spirals, vortices, crystalline lattices, and other attractive patterns are prevalent in Nature. How do such beautiful patterns appear from the initial chaos? What universal dynamical rules are responsible for their formation? What is the dynamical origin of spatial disorder in nonequilibrium media? Based on the many visual experiments in physics, hydrodynamics, chemistry, and biology, this invaluable book answers those and related intriguing questions. The mathematical models presented for the dynamical theory of pattern formation are nonlinear partial differential equations. The corresponding theory is not so accessible to a wide audience. Consequently, the authors have made every attempt to synthesize long and complex mathematical calculations to exhibit the underlying physics. The book will be useful for final year undergraduates, but is primarily aimed at graduate students, postdoctoral fellows, and others interested in the puzzling phenomena of pattern formation.

The Dynamics of Patterns

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Author :
Release : 2000
Genre : Science
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Book Rating : 561/5 ( reviews)

The Dynamics of Patterns - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook The Dynamics of Patterns write by M. I. Rabinovich. This book was released on 2000. The Dynamics of Patterns available in PDF, EPUB and Kindle. "This beautifully illustrated book brings together a remarkable array of pattern-forming phenomena The authors have assembled an impressive collection of striking photographs and computer-generated images, and the book would be worth buying for this alone the Appendix describing key experiments is a highlight. Here the authors outline the historical development of experiments in parametrically-excited patterns, thermal convection and diffusive chemical reactions." UK Nonlinear News, 2002

Neural Fields

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Release : 2014-06-17
Genre : Mathematics
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Book Rating : 939/5 ( reviews)

Neural Fields - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Neural Fields write by Stephen Coombes. This book was released on 2014-06-17. Neural Fields available in PDF, EPUB and Kindle. Neural field theory has a long-standing tradition in the mathematical and computational neurosciences. Beginning almost 50 years ago with seminal work by Griffiths and culminating in the 1970ties with the models of Wilson and Cowan, Nunez and Amari, this important research area experienced a renaissance during the 1990ties by the groups of Ermentrout, Robinson, Bressloff, Wright and Haken. Since then, much progress has been made in both, the development of mathematical and numerical techniques and in physiological refinement und understanding. In contrast to large-scale neural network models described by huge connectivity matrices that are computationally expensive in numerical simulations, neural field models described by connectivity kernels allow for analytical treatment by means of methods from functional analysis. Thus, a number of rigorous results on the existence of bump and wave solutions or on inverse kernel construction problems are nowadays available. Moreover, neural fields provide an important interface for the coupling of neural activity to experimentally observable data, such as the electroencephalogram (EEG) or functional magnetic resonance imaging (fMRI). And finally, neural fields over rather abstract feature spaces, also called dynamic fields, found successful applications in the cognitive sciences and in robotics. Up to now, research results in neural field theory have been disseminated across a number of distinct journals from mathematics, computational neuroscience, biophysics, cognitive science and others. There is no comprehensive collection of results or reviews available yet. With our proposed book Neural Field Theory, we aim at filling this gap in the market. We received consent from some of the leading scientists in the field, who are willing to write contributions for the book, among them are two of the founding-fathers of neural field theory: Shun-ichi Amari and Jack Cowan.