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Author :
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (916 download)
Download or read book Stochastic Phenomena and chaotic behaviour in complex systems written by and published by . This book was released on 1984 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Schuster
Publisher : Springer Science & Business Media
ISBN 13 : 3642695914
Total Pages : 278 pages
Book Rating : 4.6/5 (426 download)
Download or read book Stochastic Phenomena and Chaotic Behaviour in Complex Systems written by Peter Schuster and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains all invited contributions of an interdisciplinary workshop of the UNESCO working group on systems analysis of the European and North American region entitled "Stochastic Phenomena and Chaotic Behaviour in Complex Systems". The meeting was held at Hotel Winterthalerhof in Flattnitz, Karnten, Austria from June 6-10, 1983. This workshop brought together some 20 mathematicians, physicists, chemists, biologists, psychologists and economists from different European and American coun tries who share a common interest in the dynamics of complex systems and their ana lysis by mathematical techniques. The workshop in Flattnitz continued a series of meetings of the UNESCO working group on systems analysis which started in 1977 in Bucharest and was continued in Cambridge, U.K., 1981 and in Lyon, 1982. The title of the meeting was chosen in order to focus on one of the current problems of the analysis of dynamical systems. A deeper understanding of the vari ous sources of stochasticity is of primary importance for the interpretation of experimental observations. Chaotic dynamics plays a central role since it intro duces a stochastic element into deterministic systems.
Author : P. Schuster
Publisher : Springer Verlag
ISBN 13 : 9780387131948
Total Pages : 271 pages
Book Rating : 4.1/5 (319 download)
Download or read book Stochastic Phenomena and Chaotic Behaviour in Complex Systems written by P. Schuster and published by Springer Verlag. This book was released on 1984 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kunihiko Kaneko
Publisher : Springer Science & Business Media
ISBN 13 : 3642568610
Total Pages : 284 pages
Book Rating : 4.6/5 (425 download)
Download or read book Complex Systems: Chaos and Beyond written by Kunihiko Kaneko and published by Springer Science & Business Media. This book was released on 2011-06-28 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, the first in a series on this subject, is the outcome of many years of efforts to give a new all-encompassing approach to complex systems in nature based on chaos theory. While maintaining a high level of rigor, the authors avoid an overly complicated mathematical apparatus, making the book accessible to a wider interdisciplinary readership.
Author : Unesco
Publisher : Springer
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.3/5 (91 download)
Download or read book Stochastic Phenomena and Chaotic Behaviour in Complex Systems written by Unesco and published by Springer. This book was released on 1984 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Angelo Vulpiani
Publisher : World Scientific
ISBN 13 : 9814277665
Total Pages : 482 pages
Book Rating : 4.8/5 (142 download)
Download or read book Chaos written by Angelo Vulpiani and published by World Scientific. This book was released on 2010 with total page 482 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chaos: from simple models to complex systems aims to guide science and engineering students through chaos and nonlinear dynamics from classical examples to the most recent fields of research. The first part, intended for undergraduate and graduate students, is a gentle and self-contained introduction to the concepts and main tools for the characterization of deterministic chaotic systems, with emphasis to statistical approaches. The second part can be used as a reference by researchers as it focuses on more advanced topics including the characterization of chaos with tools of information theory and applications encompassing fluid and celestial mechanics, chemistry and biology. The book is novel in devoting attention to a few topics often overlooked in introductory textbooks and which are usually found only in advanced surveys such as: information and algorithmic complexity theory applied to chaos and generalization of Lyapunov exponents to account for spatiotemporal and non-infinitesimal perturbations. The selection of topics, numerous illustrations, exercises and proposals for computer experiments make the book ideal for both introductory and advanced courses. Sample Chapter(s). Introduction (164 KB). Chapter 1: First Encounter with Chaos (1,323 KB). Contents: First Encounter with Chaos; The Language of Dynamical Systems; Examples of Chaotic Behaviors; Probabilistic Approach to Chaos; Characterization of Chaotic Dynamical Systems; From Order to Chaos in Dissipative Systems; Chaos in Hamiltonian Systems; Chaos and Information Theory; Coarse-Grained Information and Large Scale Predictability; Chaos in Numerical and Laboratory Experiments; Chaos in Low Dimensional Systems; Spatiotemporal Chaos; Turbulence as a Dynamical System Problem; Chaos and Statistical Mechanics: Fermi-Pasta-Ulam a Case Study. Readership: Students and researchers in science (physics, chemistry, mathematics, biology) and engineering.
Author : Yurii Bolotin
Publisher : Springer Science & Business Media
ISBN 13 : 3642009379
Total Pages : 203 pages
Book Rating : 4.6/5 (42 download)
Download or read book Chaos: Concepts, Control and Constructive Use written by Yurii Bolotin and published by Springer Science & Business Media. This book was released on 2009-08-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of physics has changed in character, mainly due to the passage from the analyses of linear systems to the analyses of nonlinear systems. Such a change began, it goes without saying, a long time ago but the qualitative change took place and boldly evolved after the understanding of the nature of chaos in nonlinear s- tems. The importance of these systems is due to the fact that the major part of physical reality is nonlinear. Linearity appears as a result of the simpli?cation of real systems, and often, is hardly achievable during the experimental studies. In this book, we focus our attention on some general phenomena, naturally linked with nonlinearity where chaos plays a constructive part. The ?rst chapter discusses the concept of chaos. It attempts to describe the me- ing of chaos according to the current understanding of it in physics and mat- matics. The content of this chapter is essential to understand the nature of chaos and its appearance in deterministic physical systems. Using the Turing machine, we formulate the concept of complexity according to Kolmogorov. Further, we state the algorithmic theory of Kolmogorov–Martin-Lof ̈ randomness, which gives a deep understanding of the nature of deterministic chaos. Readers will not need any advanced knowledge to understand it and all the necessary facts and de?nitions will be explained.
Author : Eryk Infeld
Publisher : Cambridge University Press
ISBN 13 : 9780521582018
Total Pages : 358 pages
Book Rating : 4.5/5 (82 download)
Download or read book Nonlinear Dynamics, Chaotic and Complex Systems written by Eryk Infeld and published by Cambridge University Press. This book was released on 1997-06-19 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The physics and mathematics of nonlinear dynamics, chaotic and complex systems constitute some of the most fascinating developments of late twentieth century science. It turns out that chaotic bahaviour can be understood, and even utilized, to a far greater degree than had been suspected. Surprisingly, universal constants have been discovered. The implications have changed our understanding of important phenomena in physics, biology, chemistry, economics, medicine and numerous other fields of human endeavor. In this book, two dozen scientists and mathematicians who were deeply involved in the "nonlinear revolution" cover most of the basic aspects of the field.
Author : Hermann Haken
Publisher : Springer Science & Business Media
ISBN 13 : 3540462848
Total Pages : 249 pages
Book Rating : 4.5/5 (44 download)
Download or read book Brain Dynamics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2006-11-22 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.
Author : Hermann Haken
Publisher : Springer Science & Business Media
ISBN 13 : 366210184X
Total Pages : 761 pages
Book Rating : 4.6/5 (621 download)
Download or read book Synergetics written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an often-requested reprint of two classic texts by H. Haken: "Synergetics. An Introduction" and "Advanced Synergetics". Synergetics, an interdisciplinary research program initiated by H. Haken in 1969, deals with the systematic and methodological approach to the rapidly growing field of complexity. Going well beyond qualitative analogies between complex systems in fields as diverse as physics, chemistry, biology, sociology and economics, Synergetics uses tools from theoretical physics and mathematics to construct an unifying framework within which quantitative descriptions of complex, self-organizing systems can be made. This may well explain the timelessness of H. Haken's original texts on this topic, which are now recognized as landmarks in the field of complex systems. They provide both the beginning graduate student and the seasoned researcher with solid knowledge of the basic concepts and mathematical tools. Moreover, they admirably convey the spirit of the pioneering work by the founder of Synergetics through the essential applications contained herein that have lost nothing of their paradigmatic character since they were conceived.
Author : Juval Portugali
Publisher : Springer Science & Business Media
ISBN 13 : 3662040999
Total Pages : 359 pages
Book Rating : 4.6/5 (62 download)
Download or read book Self-Organization and the City written by Juval Portugali and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book integrates the theories of complex self-organizing systems with the rich body of discourse and literature developed in what might be called ‘social theory of cities and urbanism’. It uses techniques from dynamical complexity and synergetics to successfully tackle open social science questions.
Author : H. Haken
Publisher : Springer Science & Business Media
ISBN 13 : 9783540430766
Total Pages : 266 pages
Book Rating : 4.4/5 (37 download)
Download or read book Brain Dynamics written by H. Haken and published by Springer Science & Business Media. This book was released on 2002 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book addresses a large variety of models in mathematical and computational neuroscience. It is written for the experts as well as for graduate students wishing to enter this fascinating field of research. The author studies the behaviour of large neural networks composed of many neurons coupled by spike trains. He devotes the main part to the synchronization problem. He presents neural net models more realistic than the conventional ones by taking into account the detailed dynamics of axons, synapses and dendrites, allowing rather arbitrary couplings between neurons. He gives a complete stabile analysis that goes significantly beyond what has been known so far. He also derives pulse-averaged equations including those of the Wilson--Cowan and the Jirsa-Haken-Nunez types and discusses the formation of spatio-temporal neuronal activity pattems. An analysis of phase locking via sinusoidal couplings leading to various kinds of movement coordination is included.
Author : T.D. Frank
Publisher : Springer Science & Business Media
ISBN 13 : 3540212647
Total Pages : 414 pages
Book Rating : 4.5/5 (42 download)
Download or read book Nonlinear Fokker-Planck Equations written by T.D. Frank and published by Springer Science & Business Media. This book was released on 2005-01-07 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Centered around the natural phenomena of relaxations and fluctuations, this monograph provides readers with a solid foundation in the linear and nonlinear Fokker-Planck equations that describe the evolution of distribution functions. It emphasizes principles and notions of the theory (e.g. self-organization, stochastic feedback, free energy, and Markov processes), while also illustrating the wide applicability (e.g. collective behavior, multistability, front dynamics, and quantum particle distribution). The focus is on relaxation processes in homogeneous many-body systems describable by nonlinear Fokker-Planck equations. Also treated are Langevin equations and correlation functions. Since these phenomena are exhibited by a diverse spectrum of systems, examples and applications span the fields of physics, biology and neurophysics, mathematics, psychology, and biomechanics.
Author : Hermann Haken
Publisher : Springer Science & Business Media
ISBN 13 : 3642707955
Total Pages : 368 pages
Book Rating : 4.6/5 (427 download)
Download or read book Complex Systems — Operational Approaches in Neurobiology, Physics, and Computers written by Hermann Haken and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: A great deal of the success of science has rested on its specific methods. One of which has been to start with the study of simple phenomena such as that of falling bodies, or to decompose systems into parts with well-defined properties simpler than those of the total system. In our time there is a growing awareness that in many cases of great practical or scientific interest, such as economics or the hu man brain, we have to deal with truly complex systems which cannot be decomposed into their parts without losing crucial properties of the total system. In addi tion, complex systems have many facets and can be looked at from many points of view. Whenever a complicated problem arises, some scientists or other people are ready to invent lots of beautiful words, or to quote Goethe "denn immer wo Begriffe feh len, dort stellt ein Wort zur rechten Zeit sich ein" ("whenever concepts are lack king, a word appears at the right time"). Quite often such a procedure gives not only the layman but also scientists working in fields different from that of the in ventor of these new words the impression that this problem has been solved, and I am occasionally shocked to see how influential this kind of "linguistics" has become.
Author : Henrik Jeldtoft Jensen
Publisher : World Scientific Publishing Company
ISBN 13 : 1848169957
Total Pages : 300 pages
Book Rating : 4.8/5 (481 download)
Download or read book Stochastic Dynamics Of Complex Systems: From Glasses To Evolution written by Henrik Jeldtoft Jensen and published by World Scientific Publishing Company. This book was released on 2013-02-20 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical evolution over long time scales is a prominent feature of all the systems we intuitively think of as complex — for example, ecosystems, the brain or the economy. In physics, the term ageing is used for this type of slow change, occurring over time scales much longer than the patience, or indeed the lifetime, of the observer. The main focus of this book is on the stochastic processes which cause ageing, and the surprising fact that the ageing dynamics of systems which are very different at the microscopic level can be treated in similar ways.The first part of this book provides the necessary mathematical and computational tools and the second part describes the intuition needed to deal with these systems. Some of the first few chapters have been covered in several other books, but the emphasis and selection of the topics reflect both the authors' interests and the overall theme of the book. The second part contains an introduction to the scientific literature and deals in some detail with the description of complex phenomena of a physical and biological nature, for example, disordered magnetic materials, superconductors and glasses, models of co-evolution in ecosystems and even of ant behaviour. These heterogeneous topics are all dealt with in detail using similar analytical techniques.This book emphasizes the unity of complex dynamics and provides the tools needed to treat a large number of complex systems of current interest. The ideas and the approach to complex dynamics it presents have not appeared in book form until now./a
Author : Heinz-Otto Peitgen
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (459 download)
Download or read book A mechanism for spurious solutions of nonlinear boundary value problems written by Heinz-Otto Peitgen and published by . This book was released on 1983 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Shozo Takeno
Publisher : Springer Science & Business Media
ISBN 13 : 3662024497
Total Pages : 292 pages
Book Rating : 4.6/5 (62 download)
Download or read book Dynamical Problems in Soliton Systems written by Shozo Takeno and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains most of the papers presented in the oral session of the 7th Kyoto Summer Institute (KSI) . on Dynamical Problems in Soliton Systems, held in Kyoto from August 27 to 31, 1984. Furthermore, it contains contributions of R.K. Bullough, H.H. Chen, A.S. Davydov, and N. Sanchez, who unfortunately could not attend. Thirty-six papers were presented in the oral session and 17 papers in the poster session. The meeting brought together 109 physicists and mathematicians, of which 22 were from abroad (see group photograph). The KSI is an international meeting organized by the Research Institute for Fundamental Physics (RIFP), Kyoto University to discuss various cur re nt problems of fundamental importance in theoretical physics. The 7th KSI was the first international meeting on solitons in Japan. Early in 1983, it was feit in the RIFP that the time was ripe for a conference dealing with problems concerning solitons. The RIFP asked us to organize the confer ence. The Organizing Committee consisted of: R. Hirota (Hiroshima) T. Taniuti (Nagoya) Y.H. Ichikawa (Nagoya) M. Toda (Tokyo) Z. Maki (Kyoto) M. Wadati (Tokyo) N. Yajima (Fukuoka) S. Takeno (Kyoto) Since its discovery, the study of the soliton as a stable particle-like state of nonlinear systems has caught the imagination of physicists and mathemati cians.
