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High-Dimensional Chaotic and Attractor Systems
A Comprehensive Introduction
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This is a graduate-level monographic textbook devoted to understanding, prediction and control of high-dimensional chaotic and attractor systems of real life. The objective of the book 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. The book has nine Chapters. The first Chapter gives a textbook-like introduction into the low-dimensional attractors and chaos. This Chapter has an inspirational character, similar to other books on nonlinear dynamics and deterministic chaos. The second Chapter deals with Smale's topological transformations of stretching, squeezing and folding (of the system's phase-space), developed for the purpose of chaos theory. The third Chapter is devoted to Poincare's 3-body problem and basic techniques of chaos control, mostly of Ott-Grebogi-Yorke type. The fourth Chapter is a review of both Landau's and topological phase transition theory, as well as Haken's synergetics. The fifth Chapter deals with phase synchronization in high-dimensional chaotic systems.
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ISBNs
1402054564
9781402054556
9781402054563