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Analysis of observed chaotic data

Author: Henry D I Abarbanel
Publisher: New York ; Berlin ; Heidelberg ; Barcelona ; Budapest ; Hong Kong ; London ; Milan ; Paris ; Santa Clara ; Singapore ; Tokyo : Springer, ©1996.
Series: Springer study edition
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

The emphasis throughout is on the use of modern mathematical tools for investigating chaotic behaviour to uncover properties of physical systems, requiring knowledge of dynamical systems at the  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Henry D I Abarbanel
ISBN: 0387983724 9780387983721 0387945237 9780387945231
OCLC Number: 75835839
Notes: Literaturangaben.
Description: XIV, 272 S. : graph. Darst. ; 24 cm.
Contents: Regular Dynamics: Newton to Poincare; 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: Cramer-Rao Bounds | The Chaos Toolkit: Making 'Physics' out of Chaos
Series Title: Springer study edition
Responsibility: Henry D.I. Abarbanel. [Institute for Nonlinear Science].
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