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.

Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-type Methods
Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-type Methods

Author: Jan Awrejcewicz

Publisher: World Scientific

Published: 2007

Total Pages: 318

ISBN-13: 9812709096

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This book focuses on the development of Melnikov-type methods applied to high dimensional dynamical systems governed by ordinary differential equations. Although the classical Melnikov's technique has found various applications in predicting homoclinic intersections, it is devoted only to the analysis of three-dimensional systems (in the case of mechanics, they represent one-degree-of-freedom nonautonomous systems). This book extends the classical Melnikov's approach to the study of high dimensional dynamical systems, and uses simple models of dry friction to analytically predict the occurrence of both stick-slip and slip-slip chaotic orbits, research which is very rarely reported in the existing literature even on one-degree-of-freedom nonautonomous dynamics.This pioneering attempt to predict the occurrence of deterministic chaos of nonlinear dynamical systems will attract many researchers including applied mathematicians, physicists, as well as practicing engineers. Analytical formulas are explicitly formulated step-by-step, even attracting potential readers without a rigorous mathematical background.

Computational Neuroscience: Cortical Dynamics
Computational Neuroscience: Cortical Dynamics

Author: Péter Érdi

Publisher: Springer Science & Business Media

Published: 2004-08-03

Total Pages: 169

ISBN-13: 3540225668

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This book presents thoroughly revised tutorial papers based on lectures given by leading researchers at the 8th International Summer School on Neural Networks in Erice, Italy, in October/November 2003. The eight tutorial papers presented provide competent coverage of the field of cortical dynamics, consolidating recent theoretical and experimental results on the processing, transmission, and imprinting of information in the brain as well as on important functions of the cortical area, such as cortical rhythms, cortical neural plasticity, and their structural basis and functional significance. The book is divided in two topical sections on fundamentals of cortical dynamics and mathematical models of cortical dynamics.

Dynamics of Nonlinear Time-Delay Systems
Dynamics of Nonlinear Time-Delay Systems

Author: Muthusamy Lakshmanan

Publisher: Springer Science & Business Media

Published: 2011-01-04

Total Pages: 322

ISBN-13: 3642149383

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Synchronization of chaotic systems, a patently nonlinear phenomenon, has emerged as a highly active interdisciplinary research topic at the interface of physics, biology, applied mathematics and engineering sciences. In this connection, time-delay systems described by delay differential equations have developed as particularly suitable tools for modeling specific dynamical systems. Indeed, time-delay is ubiquitous in many physical systems, for example due to finite switching speeds of amplifiers in electronic circuits, finite lengths of vehicles in traffic flows, finite signal propagation times in biological networks and circuits, and quite generally whenever memory effects are relevant. This monograph presents the basics of chaotic time-delay systems and their synchronization with an emphasis on the effects of time-delay feedback which give rise to new collective dynamics. Special attention is devoted to scalar chaotic/hyperchaotic time-delay systems, and some higher order models, occurring in different branches of science and technology as well as to the synchronization of their coupled versions. Last but not least, the presentation as a whole strives for a balance between the necessary mathematical description of the basics and the detailed presentation of real-world applications.

Applied Computational Intelligence
Applied Computational Intelligence

Author: Da Ruan

Publisher: World Scientific

Published: 2004

Total Pages: 709

ISBN-13: 9812702660

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FLINS, originally an acronym for OC Fuzzy Logic and Intelligent technologies in Nuclear ScienceOCO, has now been extended to include computational intelligent systems for applied research. FLINS 2004, is the sixth in a series of international conferences, covers state-of-the-art research and development in applied computational intelligence for applied research in general and for power/nuclear engineering in particular. This book presents the latest research trends and future research directions in the field. The proceedings have been selected for coverage in: . OCo Index to Scientific & Technical Proceedings- (ISTP / ISI Proceedings). OCo Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings). OCo CC Proceedings OCo Engineering & Physical Sciences."

Applied Computational Intelligence, Proceedings Of The 6th International Flins Conference
Applied Computational Intelligence, Proceedings Of The 6th International Flins Conference

Author: Da Ruan

Publisher: World Scientific

Published: 2004-08-17

Total Pages: 709

ISBN-13: 981448248X

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FLINS, originally an acronym for “Fuzzy Logic and Intelligent technologies in Nuclear Science”, has now been extended to include computational intelligent systems for applied research. FLINS 2004, is the sixth in a series of international conferences, covers state-of-the-art research and development in applied computational intelligence for applied research in general and for power/nuclear engineering in particular. This book presents the latest research trends and future research directions in the field.The proceedings have been selected for coverage in:• Index to Scientific & Technical Proceedings® (ISTP / ISI Proceedings)• Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)• CC Proceedings — Engineering & Physical Sciences

Chaos in Electronics
Chaos in Electronics

Author: M.A. van Wyk

Publisher: Springer Science & Business Media

Published: 2013-06-29

Total Pages: 489

ISBN-13: 9401589216

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Many dynamical systems in physics, chemistry and biology exhibit complex be haviour. The apparently random motion of a fluid is the best known example. How ever also vibrating structures, electronic oscillators, magnetic devices,lasers, chemical oscillators, and population kinetics can behave in a complicated manner. One can find irregular oscillations, which is now known as chaotic behaviour. The research field of nonlinear dynamical systems and especially the study of chaotic systems has been hailed as one of the important breaktroughs in science this century. The sim plest realization of a system with chaotic behaviour is an electronic oscillator. The purpose of this book is to provide a comprehensive introduction to the application of chaos theory to electronic systems. The book provides both the theoretical and experimental foundations of this research field. Each electronic circuit is described in detail together with its mathematical model. Controlling chaos of electronic oscilla tors is also included. End of proofs and examples are indicated by •. Inside examples the end of proofs are indicated with O. We wish to express our gratitude to Catharine Thompson for a critical reading of the manuscript. Any useful suggestions and comments are welcome. Email address of the first author: MVANWYK@TSAMAIL. TRSA. AC. ZA Email address of the first author: WHS@RAU3. RAU. AC. ZA Home page of the authors: http://zeus. rau. ac. za/steeb/steeb. html xi Chapter 1 Introduction 1.

Handbook of Chaos Control
Handbook of Chaos Control

Author: Eckehard Schöll

Publisher: John Wiley & Sons

Published: 2008-09-08

Total Pages: 849

ISBN-13: 3527622322

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This long-awaited revised second edition of the standard reference on the subject has been considerably expanded to include such recent developments as novel control schemes, control of chaotic space-time patterns, control of noisy nonlinear systems, and communication with chaos, as well as promising new directions in research. The contributions from leading international scientists active in the field provide a comprehensive overview of our current level of knowledge on chaos control and its applications in physics, chemistry, biology, medicine, and engineering. In addition, they show the overlap with the traditional field of control theory in the engineering community. An interdisciplinary approach of interest to scientists and engineers working in a number of areas.