Analysis of observed chaotic data

By: Abaranel, Henry D.IMaterial type: TextTextPublication details: New Delhi: Springer (India) Private Limited, [c1996]Description: 272 p
Contents:
1. Introduction 2. Reconstruction of Phase Space 3. Choosing Time Delays 4. Choosing the Dimension of Reconstructed Phase Space 5. Invariants of the Motion 6. Modeling Chaos 7. Signal Separation 8. Control and Chaos 9. Synchronization of Chaotic Systems 10. Other Example Systems 11. Estimating in Chaos: Cramér-Rao Bounds 12. Summary and Conclusions
Summary: This book develops a clear and systematic treatment of time series of data, regular and chaotic, that one finds in observations of nonlinear sys- tems. The reader is led from measurements of one or more variables through the steps of building models of the source as a dynamical sys- tem, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. The text examines meth- ods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic sig- nal and its properties.
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Book Book ICTS
Oceanograp Rack No 3 Q172.5.C45 (Browse shelf (Opens below)) Available Billno:95020; Billdate: 2016-07-28 00255
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1. Introduction
2. Reconstruction of Phase Space
3. Choosing Time Delays
4. Choosing the Dimension of Reconstructed Phase Space
5. Invariants of the Motion
6. Modeling Chaos
7. Signal Separation
8. Control and Chaos
9. Synchronization of Chaotic Systems
10. Other Example Systems
11. Estimating in Chaos: Cramér-Rao Bounds
12. Summary and Conclusions

This book develops a clear and systematic treatment of time series of data, regular and chaotic, that one finds in observations of nonlinear sys- tems. The reader is led from measurements of one or more variables through the steps of building models of the source as a dynamical sys- tem, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. The text examines meth- ods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic sig- nal and its properties.

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