[PDF] Patterns Of Dynamics eBook

Author : J. A. Scott Kelso
Publisher : MIT Press
Page : 368 pages
File Size : 24,61 MB
Release : 1995
Category : Behavior
ISBN : 9780262611312

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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.

Author : Michael Cross
Publisher : Cambridge University Press
Page : 547 pages
File Size : 20,87 MB
Release : 2009-07-16
Category : Mathematics
ISBN : 0521770505

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An account of how complex patterns form in sustained nonequilibrium systems; for graduate students in biology, chemistry, engineering, mathematics, and physics.

Author : Alexander B Ezersky
Publisher : World Scientific
Page : 338 pages
File Size : 23,64 MB
Release : 2000-10-31
Category : Science
ISBN : 9814494356

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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.

Author : Pavel Gurevich
Publisher : Springer
Page : 411 pages
File Size : 49,82 MB
Release : 2018-02-07
Category : Mathematics
ISBN : 3319641735

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Theoretical advances in dynamical-systems theory and their applications to pattern-forming processes in the sciences and engineering are discussed in this volume that resulted from the conference Patterns in Dynamics held in honor of Bernold Fiedler, in Berlin, July 25-29, 2016.The contributions build and develop mathematical techniques, and use mathematical approaches for prediction and control of complex systems. The underlying mathematical theories help extract structures from experimental observations and, conversely, shed light on the formation, dynamics, and control of spatio-temporal patterns in applications. Theoretical areas covered include geometric analysis, spatial dynamics, spectral theory, traveling-wave theory, and topological data analysis; also discussed are their applications to chemotaxis, self-organization at interfaces, neuroscience, and transport processes.

Author : L.M. Pismen
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 31,50 MB
Release : 2006-07-07
Category : Science
ISBN : 3540304312

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Spontaneous pattern formation in nonlinear dissipative systems far from equilibrium occurs in a variety of settings in nature and technology, and has applications ranging from nonlinear optics through solid and fluid mechanics, physical chemistry and chemical engineering to biology. This book explores the forefront of current research, describing in-depth the analytical methods that elucidate the complex evolution of nonlinear dissipative systems.

Author : Igor S. Aranson
Publisher : Springer
Page : 336 pages
File Size : 12,38 MB
Release : 2017-05-02
Category : Technology & Engineering
ISBN : 3319536737

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This book focuses on recent progress in complexity research based on the fundamental nonlinear dynamical and statistical theory of oscillations, waves, chaos, and structures far from equilibrium. Celebrating seminal contributions to the field by Prof. M. I. Rabinovich of the University of California at San Diego, this volume brings together perspectives on both the fundamental aspects of complexity studies, as well as in applications in different fields ranging from granular patterns to understanding of the cognitive brain and mind dynamics. The slate of world-class authors review recent achievements that together present a broad and coherent coverage of modern research in complexity greater than the sum of its parts.

Author : Onuki Akira
Publisher : World Scientific
Page : 380 pages
File Size : 39,34 MB
Release : 1990-01-01
Category : Technology & Engineering
ISBN : 9814507008

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Patterns are becoming the focal point of many areas of scientific endeavour in recent years owing to the progress of computer science, laboratory experiments and observations, and analytical tools. This book brings together articles by the leading experts in this field. The following topics are discussed in this volume: current status of pattern research with emphasis on real phenomena and new theoretical concepts; interdisciplinary subjects involving Statistical Physics, Condensed Matter Physics, Fluid Mechanics, Nonequilibrium and Nonlinear Phenomena.

Author : Sitabhra Sinha
Publisher : CRC Press
Page : 318 pages
File Size : 31,98 MB
Release : 2014-12-13
Category : Mathematics
ISBN : 1466552840

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Excitable media comprise a class of models for a wide range of physical, chemical, and biological systems that exhibit spontaneous formation of spatial patterns. Patterns in Excitable Media: Genesis, Dynamics, and Control explores several aspects of the dynamics of such patterns-in particular their evolution upon interaction with structural and fun

Author : Muthusamy Lakshmanan
Publisher : Springer Science & Business Media
Page : 628 pages
File Size : 45,38 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 3642556884

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This self-contained treatment covers all aspects of nonlinear dynamics, from fundamentals to recent developments, in a unified and comprehensive way. Numerous examples and exercises will help the student to assimilate and apply the techniques presented.

Author : Larry Cochran
Publisher : SUNY Press
Page : 198 pages
File Size : 13,92 MB
Release : 1994-01-01
Category : Psychology
ISBN : 9780791417195

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This book is about individuals who have made dramatic changes in their lives. In the beginning, these people were living as patients or victims of circumstance. In the end, they were living as agents, free to shape the courses of their lives, to choose, set goals, plan--to make things happen, rather than to experience life as events happening to them. The authors describe what is involved in such remarkable transformations. They identify a common structure of transformation involving four distinguishable phases. They also clarify a progressive dialectic between living the plot of a patient and living the plot of an agent, and show how an old plot is destroyed or deconstructed and a new plot is constructed.