High-Dimensional Chaotic and Attractor Systems

A Comprehensive Introduction
2007
ISBN: 978-1-4020-5455-6
Verlag: Springer Netherlands

Buch, Englisch, Band 32, 702 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1221 g

Reihe: Intelligent Systems, Control and Automation: Science and Engineering

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).

Zielgruppe

Research

Autoren/Hrsg.

Ivancevic, Tijana T.

Ivancevic, Vladimir G.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Technische Wissenschaften Technik Allgemein Mathematik für Ingenieure
• Medizin | Veterinärmedizin Medizin | Public Health | Pharmazie | Zahnmedizin Medizin, Gesundheitswesen Medizintechnik, Biomedizintechnik, Medizinische Werkstoffe
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Technische Wissenschaften Sonstige Technologien | Angewandte Technik Medizintechnik, Biomedizintechnik
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)

Inhaltsverzeichnis

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.