Collapse of Tori and Genesis of Chaos in Dissipative Systems

Collapse of Tori and Genesis of Chaos in Dissipative Systems
Author: Kunihiko Kaneko
Publisher: World Scientific
Total Pages: 284
Release: 1986
Genre: Science
ISBN: 9789971978617

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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
Author: Bailin Hao
Publisher: World Scientific
Total Pages: 478
Release: 1989-09-01
Genre: Science
ISBN: 9814520012

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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.

Chaotic Behaviour of Deterministic Dissipative Systems

Chaotic Behaviour of Deterministic Dissipative Systems
Author: Milos Marek
Publisher: Cambridge University Press
Total Pages: 384
Release: 1995-07-20
Genre: Science
ISBN: 9780521438308

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

Dynamical Chaos

Dynamical Chaos
Author: Vadim Semenovich Anishchenko
Publisher: World Scientific
Total Pages: 410
Release: 1995
Genre: Science
ISBN: 9789810221423

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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
Author: S Kai
Publisher: World Scientific
Total Pages: 596
Release: 1992-09-15
Genre:
ISBN: 9814555339

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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
Author: H.-O. Peitgen
Publisher: Springer Science & Business Media
Total Pages: 227
Release: 2012-12-06
Genre: Science
ISBN: 9400922817

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Chaos, Order, and Patterns

Chaos, Order, and Patterns
Author: Roberto Artuso
Publisher: Springer Science & Business Media
Total Pages: 286
Release: 2012-12-06
Genre: Science
ISBN: 1475701721

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

Bibliography On Chaos

Bibliography On Chaos
Author: Bailin Hao
Publisher: World Scientific
Total Pages: 523
Release: 1991-08-22
Genre: Science
ISBN: 9814506362

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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.

Directions in Chaos

Directions in Chaos
Author: Bai-lin Hao
Publisher: World Scientific
Total Pages: 370
Release: 1987
Genre: Science
ISBN: 9789971503604

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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.

Directions In Chaos - Volume 1

Directions In Chaos - Volume 1
Author: Bailin Hao
Publisher: World Scientific
Total Pages: 367
Release: 1987-12-01
Genre: Science
ISBN: 9814513717

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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.