High-Dimensional Chaotic and Attractor Systems PDF Download
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Author: Vladimir G. Ivancevic
Publisher: Springer Science & Business Media
ISBN: 1402054564
Category : Science
Languages : en
Pages : 697
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Book Description
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.
Author: Vladimir G. Ivancevic
Publisher: Springer Science & Business Media
ISBN: 1402054564
Category : Science
Languages : en
Pages : 697
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Book Description
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.
Author: Milos Marek
Publisher: Cambridge University Press
ISBN: 9780521438308
Category : Science
Languages : en
Pages : 384
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Book Description
This graduate text surveys both the theoretical and experimental aspects of deterministic chaotic behaviour.
Author: Kunihiko Kaneko
Publisher: Springer
ISBN: 3540326677
Category : Science
Languages : en
Pages : 374
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Book Description
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.
Author: Albert C. J. Luo
Publisher: Springer Science & Business Media
ISBN: 1441957545
Category : Technology & Engineering
Languages : en
Pages : 458
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Book Description
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.
Author: Gottfried Mayer-Kress
Publisher: Springer Science & Business Media
ISBN: 3642710018
Category : Science
Languages : en
Pages : 264
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Book Description
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.
Author: Kunihiko Kaneko
Publisher: World Scientific
ISBN: 9789971978617
Category : Science
Languages : en
Pages : 284
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Book Description
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.
Author: Mikito Toda
Publisher: John Wiley & Sons
ISBN: 0471714631
Category : Science
Languages : en
Pages : 711
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Book Description
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.
Author: William L Ditto
Publisher: World Scientific
ISBN: 9814544051
Category :
Languages : en
Pages : 490
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Book Description
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.
Author: Pradeep Kumar Mallick
Publisher: Springer
ISBN: 9811306176
Category : Technology & Engineering
Languages : en
Pages : 809
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Book Description
The book presents new approaches and methods for solving real-world problems. It offers, in particular, exploratory research that describes novel approaches in the fields of Cognitive Informatics, Cognitive Computing, Computational Intelligence, Advanced Computing, Hybrid Intelligent Models and Applications. New algorithms and methods in a variety of fields are also presented, together with solution-based approaches. The topics addressed include various theoretical aspects and applications of Computer Science, Artificial Intelligence, Cybernetics, Automation Control Theory and Software Engineering.
Author: Jan Awrejcewicz
Publisher: World Scientific
ISBN: 9812709096
Category : Mathematics
Languages : en
Pages : 318
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Book Description
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.
