Analysis of Observed Chaotic Data
1st Edition
Published on 14. December 1995
Book
Hardback
XIV, 272 pages
978-0-387-94523-1 (ISBN)
Description
Chaotic time series are routinely obtained as a result of experiments or observations. This book examines methods for separating the signal of physical interest from the contamination by chaotic noise, for investigating the phase space of the chaotic noise and its properties, and for modeling the behavior of the chaotic noise. The author considers means of controlling chaotic behavior and using this control to communicate between source and receiver. The emphasis throughout is on the use of the modern mathematical tools for investigating chaotic behavior to uncover properties of physical systems.
More details
Series
Language
English
Place of publication
New York, NY
United States
Target group
College/higher education
Professional and scholarly
Graduate
Product notice
sewn/stitched
Cloth over boards
Illustrations
41 s/w Abbildungen, 2 s/w Tabellen
140 figs.
Dimensions
Height: 241 mm
Width: 160 mm
Thickness: 22 mm
Weight
600 gr
ISBN-13
978-0-387-94523-1 (9780387945231)
Schweitzer Classification
Other editions
Additional editions
Henry Abarbanel
Analysis of Observed Chaotic Data
Book
11/1997
Springer
€74.89
Shipment within 5-7 days
Content
Regular Dynamics: Newton to Poincaré; KAM Theorem | Bifurcations: Routes to Chaos, Stability and Instability | Reconstruction of Phase Space: Regular and Chaotic Motions; Observed Chaos | Choosing Time Delays: Chaos as an Information Source; Average Mutual Information. | Choosing the Dimension of Reconstructed Phase Space | Invariants of the Motion: Global & Local Lyapunov Exponents; Lorenz Model | Modeling Chaos: Local & Global Models; Phase Space Models | Signal Separation: Probabilistic Cleaning; "Blind" Signal Separation | Control and Chaos: Parametric Control; Examples of Control (including magnetoelastic ribbon, electric circuits, cardiac tissue) | Synchronization of Chaotic Systems: Identical or Dissimilar Systems; Chaotic Nonlinear Circuits | Other Example Systems: Laser Intensity Fluctuations; Volume Fluctuations of the Great Salt Lake; Motion in a Fluid Boundary Layer | Estimating in Chaos: Cramér-Rao Bounds | The Chaos Toolkit: Making "Physics" out of Chaos