Download or read book Collapse of Tori and Genesis of Chaos in Dissipative Systems written by Kunihiko Kaneko and published by World Scientific. This book was released on 1986 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a good coverage of the recent developments and future directions in the study of dissipative systems. The primary thrust here is in exposing the reader to the frontiers of chaos, pointing out clues for further work in nonlinear science. With the aid of various types of mappings, the collapse of tori is investigated. The book contains much valuable introductory material and copious reference lists. Some notes on the historical development of the subject are interspersed in this volume.
Download or read book Elementary Symbolic Dynamics and Chaos in Dissipative Systems written by Hao Bailin and published by World Scientific. This book was released on 1989-09-01 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a monograph on chaos in dissipative systems written for those working in the physical sciences. Emphasis is on symbolic description of the dynamics and various characteristics of the attractors, and written from the view-point of practical applications without going into formal mathematical rigour. The author used elementary mathematics and calculus, and relied on physical intuition whenever possible. Substantial attention is paid to numerical techniques in the study of chaos. Part of the book is based on the publications of Chinese researchers, including those of the author's collaborators. Contents:Mathematical Models Exhibiting ChaosOne Dimensional MappingsElementary Symbolic DynamicsCircle Mappings and Two-Dimensional MapsChaos in Ordinary Differential EquationsCharacterization of Chaotic AttractorsTransient Behaviour Readership: Condensed matter physicists, applied mathematicians and computer scientists. Keywords:Symbolic Dynamics;One Dimensional Mappings;Circle Mapping;Two-Dimensional Maps;Chaotic Attractors;Transient Behaviour
Download or read book Chaotic Behaviour of Deterministic Dissipative Systems written by Milos Marek and published by Cambridge University Press. This book was released on 1995-07-20 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Download or read book Dynamical Chaos written by Vadim Semenovich Anishchenko and published by World Scientific. This book was released on 1995 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, bifurcational mechanisms of the development, structure and properties of chaotic attractors are investigated by numerical and physical experiments based on the methods of the modern theory of nonlinear oscillations. The typical bifurcations of regular and chaotic attractors which are due to parameter variations are analyzed.Regularities of the transition to chaos via the collapse of quasiperiodic oscillations with two and three frequencies are investigated in detail. The book deals with the problems of chaotic synchronization, interaction of attractors and the phenomenon of stochastic resonance. The problems of fluctuation influence on the bifurcations and properties of chaotic attractors are investigated more closely.All principal problems are investigated by the comparison of theoretical and numerical results and data from physical experiments.
Download or read book Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions written by S Kai and published by World Scientific. This book was released on 1992-09-15 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this volume, the problems of pattern formation in physics, chemistry and other related fields in complex and nonlinear dissipative systems are studied. Main subjects discussed are formation mechanisms, properties, statistics, characterization and dynamics of periodic and nonperiodic patterns in the electrohydrodynamics in liquid crystals, Rayleigh-Benard convection, crystallization, viscous fingering and Belouzov-Zhabotinsky chemical reaction. Recent developments in topological and defect-mediated chaos, chaos in systems with large degrees of freedom and turbulence-turbulence transitions are also discussed.
Download or read book Newton s Method and Dynamical Systems written by H.-O. Peitgen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chaos Order and Patterns written by Roberto Artuso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of a NATO ASI held in Lake Como, Italy, June 25--July 6, 1990
Download or read book Bibliography on Chaos written by Shu-yu Zhang and published by World Scientific. This book was released on 1991 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of more than 7000 full titles of books and papers related to chaotic behaviour in nonlinear dynamics. Emphasis has been made on recent publications, but many publications which appeared before 1980 are also included. Many titles have been checked with the authors. The scope of the Bibliography is not restricted to physics and mathematics of chaos only. Applications of chaotic dynamics to other branches of natural and social sciences are also considered. Works related to chaotic dynamics, e.g., papers on turbulence dynamical systems theory and fractal geometry, are listed at the discretion of the author or the compiler. This Bibliography is expected to be an important reference book for libraries and individual researchers.
Download or read book Strange Nonchaotic Attractors written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Directions in Chaos written by Bai-lin Hao and published by World Scientific. This book was released on 1987 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the first of a two-volume book, consists of a collection of comprehensive reviews and lectures written by active researchers on topics in chaotic phenomena.
Download or read book Directions In Chaos Volume 1 written by Bailin Hao and published by World Scientific. This book was released on 1987-12-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, the first of a two-volume book, consists of a collection of comprehensive reviews and lectures written by active researchers on topics in chaotic phenomena.
Download or read book Chaotic Synchronization written by Erik Mosekilde and published by World Scientific. This book was released on 2002-03-07 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interacting chaotic oscillators are of interest in many areas of physics, biology, and engineering. In the biological sciences, for instance, one of the challenging problems is to understand how a group of cells or functional units, each displaying complicated nonlinear dynamic phenomena, can interact with one another to produce a coherent response on a higher organizational level. This book is a guide to the fascinating new concept of chaotic synchronization. The topics covered range from transverse stability and riddled basins of attraction in a system of two coupled logistic maps over partial synchronization and clustering in systems of many chaotic oscillators, to noise-induced synchronization of coherence resonance oscillators. Other topics treated in the book are on–off intermittency and the role of the absorbing and mixed absorbing areas, periodic orbit threshold theory, the influence of a small parameter mismatch, and different mechanisms for chaotic phase synchronization. The biological examples include synchronization of the bursting behavior of coupled insulin-producing beta cells, chaotic phase synchronization in the pressure and flow regulation of neighboring functional units of the kidney, and homoclinic transitions to phase synchronization in microbiological reactors. Contents: Coupled Nonlinear OscillatorsTransverse Stability of Coupled MapsUnfolding the Riddling BifurcationTime-Continuous SystemsCoupled Pancreatic CellsChaotic Phase SynchronizationPopulation Dynamic SystemsClustering of Globally MapsInteracting NephronsCoherence Resonance Oscillators Readership: Students and researchers interested in applying new concepts of chaotic synchronization and clustering to biological systems. Keywords:Reviews:“The book may be interesting for students and scientists who deal with coupled oscillatory systems and biological applications.”Mathematics Abstracts
Download or read book Encyclopedia of Nonlinear Science written by Alwyn Scott and published by Routledge. This book was released on 2006-05-17 with total page 1107 pages. Available in PDF, EPUB and Kindle. Book excerpt: In 438 alphabetically-arranged essays, this work provides a useful overview of the core mathematical background for nonlinear science, as well as its applications to key problems in ecology and biological systems, chemical reaction-diffusion problems, geophysics, economics, electrical and mechanical oscillations in engineering systems, lasers and nonlinear optics, fluid mechanics and turbulence, and condensed matter physics, among others.
Download or read book Evolution of Information Processing Systems written by Klaus Haefner 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: An interdisciplinary team of scientists is presenting a new paradigm: all existing structures on earth are the consequence of information processing. Since these structures have been evolved over the last five billion years, information processing and its systems have an evolution.This is under consideration in the book. Starting with a basic paper which summarizes the essential hypotheses about the evolution of informaion processing systems, sixteen international scientists have tried to verify or falsify these hypothesises. This has been done at the physical, the chemical, the genetic, the neural, the social, the societal and the socio-technical level. Thus, the reader gets an insight into the recent status of research on the evolution of information processing systems. The papers are the result of an interdisciplinary project in which scientists of the classical disciplines have been invited to collaborate. Their inputs have been intensively discussed in a workshop. The book is the output of the workshop. The first goal of the bookis to give the reader an insight into basic principles about the evolution of information processing systems. This, however, leads directly to a very old and essential question: who is controlling the world, "matter" or an "immaterial intelligence"? Several authors of the papers are arguing that there is a basic concept of information processing in nature. This is the crucial process, which, however, needs a material basis. The reader has a chance to understand this paradigm as an approach which is valid for all levels of inorganic, organic and societal structures. This provocative concept is open to debate.
Download or read book Chaos in Brain Function written by Erol Başar and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: The analysis of deterministic chaos is currently an active field in many branches of research. Mathematically all nonlinear dynamical systems with more than two degrees of freedom can generate chaos, becoming unpredictable over a longer time scale. The brain is a nonlinear system par excellence. Accordingly, the concepts of chaotic dynamics have found, in the last five years, an important application in research on compound electrical activity of the brain. The present volume seeks to cover most of the relevant studies in the newly emerging field of chaotic attractors in the brain. This volume is essentially a selection and reorganization of contri butions from the first two volumes in the Springer Series in Brain Dynamics, which were based on conferences held in 1985 and 1987 in Berlin. It also includes (a) a survey of progress in the recording of evoked oscillations of the brain both at the cellular and EEG levels and (b) an agenda for research on chaotic dynamics. Although the first publications pointing out evidence of chaotic behavior of the EEG did not appear until the beginning of 1985, the presence of the pioneering scientists in this field gave the participants at the first conference (volume 1) a strong impulse toward this field. For me, as conference organizer, having been for a long time active in nonlinear EEG research, the integration of this topic was self-evident; however, the enthusiasm of the conference participants was greater than expected.
Download or read book Deterministic Chaos written by Heinz Georg Schuster and published by John Wiley & Sons. This book was released on 2006-03-06 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new edition of this well-established monograph, this volume provides a comprehensive overview over the still fascinating field of chaos research. The authors include recent developments such as systems with restricted degrees of freedom but put also a strong emphasis on the mathematical foundations. Partly illustrated in color, this fourth edition features new sections from applied nonlinear science, like control of chaos, synchronisation of nonlinear systems, and turbulence, as well as recent theoretical concepts like strange nonchaotic attractors, on-off intermittency and spatio-temporal chaotic motion.
Download or read book Chaos in Chemistry and Biochemistry written by Richard J. Field and published by World Scientific. This book was released on 1993 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: True deterministic chaos is characterized by unpredictable, apparently random motion in a dynamical system completely described by a deterministic dynamic law, usually a nonlinear differential equation, with no stochastic component. The inability to predict future behavior of a chaotic system occurs because trajectories evolving from arbitrarily close initial conditions diverge. Chaos is universal as it may arise in any system governed by one of a class of quite common, suitable nonlinear dynamic laws. This book discusses both the experimental observation and theoretical interpretation of chaos in chemical and biochemical systems. Examples are drawn from the Belousov-Zhabotinsky reaction, surface reactions, electrochemical reactions, enzyme reactions, and periodically perturbed oscillating systems.
