High-Dimensional Chaotic and Attractor Systems

High-Dimensional Chaotic and Attractor Systems

Author: Vladimir G. Ivancevic

Publisher: Springer Science & Business Media

Published: 2007-02-06

Total Pages: 711

ISBN-13: 1402054564

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This graduate–level textbook is devoted to understanding, prediction and control of high–dimensional chaotic and attractor systems of real life. The objective is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high–dimensional chaotic and attractor dynamics. From introductory material on low-dimensional attractors and chaos, the text explores concepts including Poincaré’s 3-body problem, high-tech Josephson junctions, and more.


High-Dimensional Chaotic and Attractor Systems

High-Dimensional Chaotic and Attractor Systems

Author: Vladimir G. Ivancevic

Publisher: Intelligent Systems, Control and Automation: Science and Engineering

Published: 2007-02-02

Total Pages: 728

ISBN-13:

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This graduate–level textbook is devoted to understanding, prediction and control of high–dimensional chaotic and attractor systems of real life. The objective is to provide the serious reader with a serious scientific tool that will enable the actual performance of competitive research in high–dimensional chaotic and attractor dynamics. From introductory material on low-dimensional attractors and chaos, the text explores concepts including Poincaré’s 3-body problem, high-tech Josephson junctions, and more.


Chaos-based Cryptography

Chaos-based Cryptography

Author: Ljupco Kocarev

Publisher: Springer Science & Business Media

Published: 2011-06-17

Total Pages: 400

ISBN-13: 3642205410

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Chaos-based cryptography, attracting many researchers in the past decade, is a research field across two fields, i.e., chaos (nonlinear dynamic system) and cryptography (computer and data security). It Chaos' properties, such as randomness and ergodicity, have been proved to be suitable for designing the means for data protection. The book gives a thorough description of chaos-based cryptography, which consists of chaos basic theory, chaos properties suitable for cryptography, chaos-based cryptographic techniques, and various secure applications based on chaos. Additionally, it covers both the latest research results and some open issues or hot topics. The book creates a collection of high-quality chapters contributed by leading experts in the related fields. It embraces a wide variety of aspects of the related subject areas and provide a scientifically and scholarly sound treatment of state-of-the-art techniques to students, researchers, academics, personnel of law enforcement and IT practitioners who are interested or involved in the study, research, use, design and development of techniques related to chaos-based cryptography.


Life: An Introduction to Complex Systems Biology

Life: An Introduction to Complex Systems Biology

Author: Kunihiko Kaneko

Publisher: Springer

Published: 2006-09-14

Total Pages: 377

ISBN-13: 3540326677

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This book examines life not from the reductionist point of view, but rather asks the questions: what are the universal properties of living systems, and how can one construct from there a phenomenological theory of life that leads naturally to complex processes such as reproductive cellular systems, evolution and differentiation? The presentation is relatively non-technical to appeal to a broad spectrum of students and researchers.


Collapse of Tori and Genesis of Chaos in Dissipative Systems

Collapse of Tori and Genesis of Chaos in Dissipative Systems

Author: K Kaneko

Publisher: World Scientific Publishing Company

Published: 1986-05-01

Total Pages: 276

ISBN-13: 9813104201

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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. Request Inspection Copy


Dimensions and Entropies in Chaotic Systems

Dimensions and Entropies in Chaotic Systems

Author: Gottfried Mayer-Kress

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 264

ISBN-13: 3642710018

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These proceedings contain the papers contributed to the International Work shop on "Dimensions and Entropies in Chaotic Systems" at the Pecos River Conference Center on the Pecos River Ranch in Spetember 1985. The work shop was held by the Center for Nonlinear Studies of the Los Alamos National Laboratory. At the Center for Nonlinear Studies the investigation of chaotic dynamics and especially the quantification of complex behavior has a long tradition. In spite of some remarkable successes, there are fundamental, as well as nu merical, problems involved in the practical realization of these algorithms. This has led to a series of publications in which modifications and improve ments of the original methods have been proposed. At present there exists a growing number of competing dimension algorithms but no comprehensive review explaining how they are related. Further, in actual experimental ap plications, rather than a precise algorithm, one finds frequent use of "rules of thumb" together with error estimates which, in many cases, appear to be far too optimistic. Also it seems that questions like "What is the maximal dimension of an attractor that one can measure with a given number of data points and a given experimental resolution?" have still not been answered in a satisfactory manner for general cases.


Geometric Structures of Phase Space in Multi-Dimensional Chaos

Geometric Structures of Phase Space in Multi-Dimensional Chaos

Author: Mikito Toda

Publisher: John Wiley & Sons

Published: 2004-12-20

Total Pages: 711

ISBN-13: 0471714631

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This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. Volume 130 in the series continues to report recent advances with significant, up-to-date chapters by internationally recognized researchers.


Dynamical Systems

Dynamical Systems

Author: Albert C. J. Luo

Publisher: Springer Science & Business Media

Published: 2010-07-17

Total Pages: 458

ISBN-13: 1441957545

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Dynamical Systems: Discontinuous, Stochasticity and Time-Delay provides an overview of the most recent developments in nonlinear dynamics, vibration and control. This book focuses on the most recent advances in all three areas, with particular emphasis on recent analytical, numerical and experimental research and its results. Real dynamical system problems, such as the behavior of suspension systems of railways, nonlinear vibration and applied control in coal manufacturing, along with the multifractal spectrum of LAN traffic, are discussed at length, giving the reader a sense of real-world instances where these theories are applied. Dynamical Systems: Discontinuous, Stochasticity and Time-Delay also contains material on time-delay systems as they relate to linear switching, dynamics of complex networks, and machine tools with multiple boundaries. It is the ideal book for engineers and academic researchers working in areas like mechanical and control engineering, as well as applied mathematics.


Proceedings Of The 4th Experimental Chaos Conference

Proceedings Of The 4th Experimental Chaos Conference

Author: William L Ditto

Publisher: World Scientific

Published: 1998-12-01

Total Pages: 490

ISBN-13: 9814544051

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The 4th Experimental Chaos Conference was a forum for members of the scientific and engineering communities to discuss recent developments in, and techniques of, experimental nonlinear dynamics. The focus of this important conference was on actual realizations of nonlinear and chaotic systems. The latest developments in applications of nonlinear dynamics and chaos were presented, the requirement being that all presentations were actually implemented in experiments or devices. The areas covered were spatio-temporal patterns, optical chaos, biological dynamics, communication and synchronization, control of chaotic systems, mechanical dynamics, fluid dynamics, quantum chaos, and chaotic condensed matter systems.