High-Dimensional Chaotic and Attractor Systems: A Comprehensive Introduction: 32 (Intelligent Systems, Control and Automation: Science and Engineering, 32) - Softcover
Synopsis
If we try to describe real world in mathematical terms, we will see that real life is very often a high–dimensional chaos. Sometimes, by ‘pushing hard’, we manage to make order out of it; yet sometimes, we need simply to accept our life as it is. To be able to still live successfully, we need tounderstand, predict, and ultimately control this high–dimensional chaotic dynamics of life. This is the main theme of the present book. In our previous book, Geometrical - namics of Complex Systems, Vol. 31 in Springer book series Microprocessor– Based and Intelligent Systems Engineering, we developed the most powerful mathematical machinery to deal with high–dimensional nonlinear dynamics. In the present text, we consider the extreme cases of nonlinear dynamics, the high–dimensional chaotic and other attractor systems. Although they might look as examples of complete disorder – they still represent control systems, with their inputs, outputs, states, feedbacks, and stability. Today, we can see a number of nice books devoted to nonlinear dyn- ics and chaos theory (see our reference list). However, all these books are only undergraduate, introductory texts, that are concerned exclusively with oversimpli?ed low–dimensional chaos, thus providing only an inspiration for the readers to actually throw themselves into the real–life chaotic dynamics.
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Review
From the reviews:
"This is an ambitious book that ... is devoted to the understanding, prediction and control of high-dimensional chaotic and attractor systems in real life. ... Finally, and most usefully, the book has a substantial list of references (over 30 pages of them), meaning that the book can be used as a guide to literature in a diverse range of topics related to high- (and indeed low-) dimensional chaotic and nonlinear systems." (Peter Ashwin, Mathematical Reviews, Issue 2008 h)
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High-Dimensional Chaotic and Attractor Systems
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 720 pp. Englisch. Seller Inventory # 9789048173723
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High-Dimensional Chaotic and Attractor Systems | A Comprehensive Introduction
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Taschenbuch. Condition: Neu. High-Dimensional Chaotic and Attractor Systems | A Comprehensive Introduction | Vladimir G. Ivancevic (u. a.) | Taschenbuch | Intelligent Systems, Control and Automation: Science and Engineering | xv | Englisch | 2010 | Springer | EAN 9789048173723 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 107219434
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High-Dimensional Chaotic and Attractor Systems
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book details prediction and control of high-dimensional chaotic and attractor systems of real life. It provides a scientific tool that will enable the actual performance of competitive research in high-dimensional chaotic and attractor dynamics. Coverage details Smale's topological transformations of stretching, squeezing and folding and Poincaré's 3-body problem and basic techniques of chaos control. It offers a review of both Landau's and topological phase transition theory as well as Haken's synergetics and deals with phase synchronization in high-dimensional chaotic systems. In addition, the book presents high-tech Josephson junctions, deals with fractals and fractional Hamiltonian dynamics, and offers a review of modern techniques for dealing with turbulence. It also offers a brief on the cutting edge techniques of the high-dimensional nonlinear dynamics (including geometries, gauges and solitons, culminating into the chaos field theory).Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 720 pp. Englisch. Seller Inventory # 9789048173723