High-Dimensional Chaotic and Attractor Systems
A Comprehensive Introduction
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Beschreibung
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).
High-dimensional chaos of real life Real research – not motivational introduction
Autor*in
Vladimir G. Ivancevic
Themen in »High-Dimensional Chaotic and Attractor Systems«
Soliton Transformation algorithm algorithms chaos chaos theory classification deterministic chaos mechanics model modeling molecular dynamics nonlinear dynamics stability
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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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