Vladimir G. Ivancevic, Tijana T. Ivancevic

High-Dimensional Chaotic and Attractor Systems (eBook, PDF)

A Comprehensive Introduction

• Format: PDF

Produktbeschreibung

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).

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Produktdetails

• Verlag: Springer Netherlands
• Seitenzahl: 697
• Erscheinungstermin: 6. Februar 2007
• Englisch
• ISBN-13: 9781402054563
• Artikelnr.: 37343435

Inhaltsangabe

to Attractors and Chaos.- Smale Horseshoes and Homoclinic Dynamics.- 3-Body Problem and Chaos Control.- Phase Transitions and Synergetics.- Phase Synchronization in Chaotic Systems.- Josephson Junctions and Quantum Engineering.- Fractals and Fractional Dynamics.- Turbulence.- Geometry, Solitons and Chaos Field Theory.

Rezensionen

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)