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

Published: 1986

Total Pages: 284

ISBN-13: 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

Published: 1989-09-01

Total Pages: 478

ISBN-13: 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.

Dynamical Chaos
Dynamical Chaos

Author: Vadim Semenovich Anishchenko

Publisher: World Scientific

Published: 1995

Total Pages: 410

ISBN-13: 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

Published: 1992-09-15

Total Pages: 596

ISBN-13: 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.

Chaos, Order, and Patterns
Chaos, Order, and Patterns

Author: Roberto Artuso

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 286

ISBN-13: 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

Published: 1991-08-22

Total Pages: 523

ISBN-13: 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

Published: 1987

Total Pages: 370

ISBN-13: 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

Published: 1987-12-01

Total Pages: 367

ISBN-13: 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.