Collapse Of Tori And Genesis Of Chaos In Dissipative Systems


Collapse Of Tori And Genesis Of Chaos In Dissipative Systems
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Collapse Of Tori And Genesis Of Chaos In Dissipative Systems


Collapse Of Tori And Genesis Of Chaos In Dissipative Systems
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Author : Kunihiko Kaneko
language : en
Publisher: World Scientific
Release Date : 1986

Collapse Of Tori And Genesis Of Chaos In Dissipative Systems written by Kunihiko Kaneko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986 with Science categories.


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.



Elementary Symbolic Dynamics And Chaos In Dissipative Systems


Elementary Symbolic Dynamics And Chaos In Dissipative Systems
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Author : Hao Bailin
language : en
Publisher: World Scientific
Release Date : 1989-09-01

Elementary Symbolic Dynamics And Chaos In Dissipative Systems written by Hao Bailin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-01 with Science categories.


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



Chaotic Behaviour Of Deterministic Dissipative Systems


Chaotic Behaviour Of Deterministic Dissipative Systems
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Author : Milos Marek
language : en
Publisher: Cambridge University Press
Release Date : 1995-07-20

Chaotic Behaviour Of Deterministic Dissipative Systems written by Milos Marek and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-20 with Science categories.


This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.



Dynamical Chaos


Dynamical Chaos
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Author : Vadim Semenovich Anishchenko
language : en
Publisher: World Scientific
Release Date : 1995

Dynamical Chaos written by Vadim Semenovich Anishchenko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Science categories.


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.



Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions


Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions
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Author : S Kai
language : en
Publisher: World Scientific
Release Date : 1992-09-15

Pattern Formation In Complex Dissipative Systems Fluid Patterns Liquid Crystals Chemical Reactions written by S Kai and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-09-15 with categories.


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.



Newton S Method And Dynamical Systems


Newton S Method And Dynamical Systems
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Author : H.-O. Peitgen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Newton S Method And Dynamical Systems written by H.-O. Peitgen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.




Chaos Order And Patterns


Chaos Order And Patterns
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Author : Roberto Artuso
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Chaos Order And Patterns written by Roberto Artuso and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.


Proceedings of a NATO ASI held in Lake Como, Italy, June 25--July 6, 1990



Bibliography On Chaos


Bibliography On Chaos
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Author : Shu-yu Zhang
language : en
Publisher: World Scientific
Release Date : 1991

Bibliography On Chaos written by Shu-yu Zhang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Science categories.


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.



Strange Nonchaotic Attractors


Strange Nonchaotic Attractors
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Author :
language : en
Publisher:
Release Date :

Strange Nonchaotic Attractors written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.




Directions In Chaos


Directions In Chaos
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Author : Bai-lin Hao
language : en
Publisher: World Scientific
Release Date : 1987

Directions In Chaos written by Bai-lin Hao and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Science categories.


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.