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Author : William H. Sulis,Irina Nikolaevna Trofimova
Publisher : Unknown
Page : 417 pages
File Size : 51,8 Mb
Release : 2001
Category : Chaotic behavior in systems
ISBN : 4274904083
Author : William H. Sulis,Irina Nikolaevna Trofimova
Publisher : IOS Press
Page : 436 pages
File Size : 51,9 Mb
Release : 2001
Category : Medical
ISBN : 1586030205
Incorporating chaos theory into psychology and the life sciences, this text includes empirical studies of neural encoding, memory, eye movements, warfare, business cycles and selection of time series analysis algorithms. There are theoretical chapters on emergence and social dynamics, and clinical contributions dealing with: the measurement of quality of life for psychiatric patients; psychosis; the organization of self; and the role of love in family dynamics. Finally ideas from non-linear dynamics are applied to understanding the creative process.
Author : Joshua M. Epstein
Publisher : CRC Press
Page : 134 pages
File Size : 45,9 Mb
Release : 2018-03-08
Category : Mathematics
ISBN : 9780429973031
This book is based on a series of lectures on mathematical biology, the essential dynamics of complex and crucially important social systems, and the unifying power of mathematics and nonlinear dynamical systems theory.
Author : Armin Fuchs
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 52,7 Mb
Release : 2012-09-22
Category : Technology & Engineering
ISBN : 9783642335525
With many areas of science reaching across their boundaries and becoming more and more interdisciplinary, students and researchers in these fields are confronted with techniques and tools not covered by their particular education. Especially in the life- and neurosciences quantitative models based on nonlinear dynamics and complex systems are becoming as frequently implemented as traditional statistical analysis. Unfamiliarity with the terminology and rigorous mathematics may discourage many scientists to adopt these methods for their own work, even though such reluctance in most cases is not justified. This book bridges this gap by introducing the procedures and methods used for analyzing nonlinear dynamical systems. In Part I, the concepts of fixed points, phase space, stability and transitions, among others, are discussed in great detail and implemented on the basis of example elementary systems. Part II is devoted to specific, non-trivial applications: coordination of human limb movement (Haken-Kelso-Bunz model), self-organization and pattern formation in complex systems (Synergetics), and models of dynamical properties of neurons (Hodgkin-Huxley, Fitzhugh-Nagumo and Hindmarsh-Rose). Part III may serve as a refresher and companion of some mathematical basics that have been forgotten or were not covered in basic math courses. Finally, the appendix contains an explicit derivation and basic numerical methods together with some programming examples as well as solutions to the exercises provided at the end of certain chapters. Throughout this book all derivations are as detailed and explicit as possible, and everybody with some knowledge of calculus should be able to extract meaningful guidance follow and apply the methods of nonlinear dynamics to their own work. “This book is a masterful treatment, one might even say a gift, to the interdisciplinary scientist of the future.” “With the authoritative voice of a genuine practitioner, Fuchs is a master teacher of how to handle complex dynamical systems.” “What I find beautiful in this book is its clarity, the clear definition of terms, every step explained simply and systematically.” (J.A.Scott Kelso, excerpts from the foreword)
Author : Gian Italo Bischi,Carl Chiarella,Laura Gardini
Publisher : Springer Science & Business Media
Page : 384 pages
File Size : 51,8 Mb
Release : 2009-12-15
Category : Business & Economics
ISBN : 9783642040238
Over the last two decades there has been a great deal of research into nonlinear dynamic models in economics, finance and the social sciences. This book contains twenty papers that range over very recent applications in these areas. Topics covered include structural change and economic growth, disequilibrium dynamics and economic policy as well as models with boundedly rational agents. The book illustrates some of the most recent research tools in this area and will be of interest to economists working in economic dynamics and to mathematicians interested in seeing ideas from nonlinear dynamics and complexity theory applied to the economic sciences.
Author : Steven H. Strogatz
Publisher : CRC Press
Page : 532 pages
File Size : 43,5 Mb
Release : 2018-05-04
Category : Mathematics
ISBN : 9780429961113
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
Author : Terry Marks-Tarlow,Yakov Shapiro,Katthe P. Wolf,Harris L. Friedman
Publisher : Cambridge Scholars Publishing
Page : 576 pages
File Size : 55,8 Mb
Release : 2020-01-06
Category : Psychology
ISBN : 9781527544932
Fractal dynamics provide an unparalleled tool for understanding the evolution of natural complexity throughout physical, biological, and psychological realms. This book’s conceptual framework helps to reconcile several persistent dichotomies in the natural sciences, including mind-brain, linear-nonlinear, subjective-objective, and even personal-transpersonal processes. A fractal approach is especially useful when applied to recursive processes of consciousness, both within their ordinary and anomalous manifestations. This novel way to study the interconnection of seemingly divided wholes encompasses multiple dimensions of experience and being. It brings together experts in diverse fields—neuropsychologists, psychiatrists, physicists, physiologists, psychoanalysts, mathematicians, and professors of religion and music composition—to demonstrate the value of fractals as model, method, and metaphor within psychology and related social and physical sciences. The result is a new perspective for understanding what has often been dismissed as too subjective, idiosyncratic, and ineffably beyond the scope of science, bringing these areas back into a natural-scientific framework.
Author : Matthijs Koopmans,Dimitrios Stamovlasis
Publisher : Springer
Page : 412 pages
File Size : 48,9 Mb
Release : 2016-02-19
Category : Education
ISBN : 9783319275772
This book capitalizes on the developments in dynamical systems and education by presenting some of the most recent advances in this area in seventeen non-overlapping chapters. The first half of the book discusses the conceptual framework of complex dynamical systems and its applicability to educational processes. The second half presents a set of empirical studies that that illustrate the use of various research methodologies to investigate complex dynamical processes in education, and help the reader appreciate what we learn about dynamical processes in education from using these approaches.
Author : William Sulis,A Combs
Publisher : World Scientific
Page : 427 pages
File Size : 49,6 Mb
Release : 1996-09-20
Category : Science
ISBN : 9789814498678
This book represents a selection of papers presented at the Fourth Annual Conference of the Society for Chaos Theory in Psychology and the Life Sciences, held at Johns Hopkins University in Baltimore, June 24-27, 1995. The book reflects the Society as a whole, consisting of applications of nonlinear methodology in psychophysics, neurophysiology, business and social science as well as applications of the nonlinear paradigm to issues arising in psychotherapy and the study of creativity. Unique are contributions on the use of Boolean networks in the study of psychosis and quality of life. Review articles on the appropriate use of time series methods in psychology and psychophysics provide a valuable reference.
Author : Craig Piers,John P. Muller,Joseph Brent
Publisher : Jason Aronson
Page : 200 pages
File Size : 50,9 Mb
Release : 2007
Category : Philosophy
ISBN : 0765705265
Self-Organizing Complexity in Psychological Systems offers a contemporary perspective on the mind through a compilation of original chapters written by some of the leading researchers in the area of complexity theory. In each of the chapters, the authors attempt to use complexity theory to inform and in some cases reformulate existing theories of brain function (Freeman; Grigsby & Osuch), personality (Grigsby & Osuch), psychic organization and structure (Goldstein; Piers), human development (Demos), psychopathology (Palombo; Piers) and psychotherapeutic change (Palombo).
Author : Peter Allen,Steve Maguire,Bill McKelvey
Publisher : SAGE
Page : 665 pages
File Size : 47,9 Mb
Release : 2011-03-18
Category : Business & Economics
ISBN : 9781446209745
The SAGE Handbook of Complexity and Management is the first substantive scholarly work to provide a map of the state of art research in the growing field emerging at the intersection of complexity science and management studies. Edited and written by internationally respected scholars from management and related disciplines, the Handbook will be the definitive reference source for understanding the implications of complexity science for management research and practice. Part One: Foundations introduces complexity science and its implications for the foundations of scientific knowledge, including management knowledge. Part Two: Applications presents the numerous ways in which complexity science models and tools, as well as complexity thinking, are being applied to management and organizational phenomena and the insights gained as a result. Part Three: Interfaces highlights how complexity science is transforming various non-management fields and, in so doing, creating exciting interfaces for bridging between management and related disciplines.
Author : Nikolai Aleksandrovich Magnitskii,Sergey Vasilevich Sidorov
Publisher : World Scientific
Page : 382 pages
File Size : 40,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812773517
This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments. The transition is described from the Feigenbaum cascade of period doubling bifurcations of the original singular cycle to the complete or incomplete Sharkovskii subharmonic cascade of bifurcations of stable limit cycles with arbitrary period and finally to the complete or incomplete homoclinic cascade of bifurcations. The book presents a distinct view point on the principles of formation, scenarios of occurrence and ways of control of chaotic motion in nonlinear dissipative dynamical systems. All theoretical results and conclusions of the theory are strictly proved and confirmed by numerous examples, illustrations and numerical calculations. Sample Chapter(s). Chapter 1: Systems of Ordinary Differential Equations (1,736 KB). Contents: Systems of Ordinary Differential Equations; Bifurcations in Nonlinear Systems of Ordinary Differential Equations; Chaotic Systems of Ordinary Differential Equations; Principles of the Theory of Dynamical Chaos in Dissipative Systems of Ordinary Differential Equations; Dynamical Chaos in Infinitely-Dimensional Systems of Differential Equations; Chaos Control in Systems of Differential Equations. Readership: Graduate students and researchers in complex and chaotic dynamical systems.
Author : James Nation,Irina Trofimova,John D. Rand,William Sulis
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 41,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401000642
A cutting-edge survey of formal methods directed specifically at dealing with the deep mathematical problems engendered by the study of developing systems, in particular dealing with developing phase spaces, changing components, structures and functionalities, and the problem of emergence. Several papers deal with the modelling of particular experimental situations in population biology, economics and plant and muscle developments in addition to purely theoretical approaches. Novel approaches include differential inclusions and viability theory, growth tensors, archetypal dynamics, ensembles with variable structures, and complex system models. The papers represent the work of theoreticians and experimental biologists, psychologists and economists. The areas covered embrace complex systems, the development of artificial life, mathematics, computer science, biology and psychology.
Author : Ludmila V. Yakushevich
Publisher : John Wiley & Sons
Page : 205 pages
File Size : 51,8 Mb
Release : 2006-01-24
Category : Science
ISBN : 9783527604739
The first edition of this book was the first on the physics of DNA to go beyond the simple (simplified) 'linear' approach, and it has since been found that the inclusion of nonlinear effects leads to a significantly improved interpretation of experimental data. This new edition naturally retains this approach, but has been completely revised, updated and expanded to cover recent developments. Beginning with introductory chapters on DNA structure and dynamics, the book also includes a comparison between linear and nonlinear approaches to the DNA molecule, a chapter devoted to the statistics of nonlinear excitations of DNA, and examples for the interpretation of experimental data on the dynamics of DNA in terms of nonlinear theory. Essential reading for researchers in biophysics and nonlinear physics, allowing biologists, chemists and physicists to continue developing new and improved techniques of investigating the DNA molecule.
Author : Benyamin Lichtenstein
Publisher : Oxford University Press
Page : 352 pages
File Size : 40,5 Mb
Release : 2014-06-20
Category : Psychology
ISBN : 9780199933600
How do organizations become created? Entrepreneurship scholars have debated this question for decades, but only recently have they been able to gain insights into the non-linear dynamics that lead to organizational emergence, through the use of the complexity sciences. Written for social science researchers, Generative Emergence summarizes these literatures, including the first comprehensive review of each of the 15 complexity science disciplines. In doing so, the book makes a bold proposal for a discipline of Emergence, and explores one of its proposed fields, namely Generative Emergence. The book begins with a detailed summary of its underlying science, dissipative structures theory, and rigorously maps the processes of order creation discovered by that science to identify a 5-phase model of order creation in entrepreneurial ventures. The second half of the book presents the findings from an experimental study that tested the model in four fast-growth ventures through a year-long, week-by-week longitudinal analysis of their processes, based on over 750 interviews and 1000 hours of on-site observation. These data, combined with reports from over a dozen other studies, confirm the dynamics of the 5-phase model in multiple contexts. By way of conclusion, the book explores how the model of Generative Emergence could be applied to enact emergence within and across organizations.