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9780387983721

Analysis of Observed Chaotic Data (Institute for Nonlinear Science)

Abarbanel, Henry

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9780387983721: Analysis of Observed Chaotic Data (Institute for Nonlinear Science)

A clear and systematic treatment of time series of data, regular and chaotic, found in nonlinear systems. The text leads readers from measurements of one or more variables through the steps of building models of the source as a dynamical system, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. It examines methods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic signal and its properties. 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 advanced undergraduate level and some knowledge of Fourier transforms and other signal processing methods.

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Abarbanel, Henry Author
Published by Springer (1997)
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Book Description Springer, 1997. Paperback. Book Condition: New. Brand New Text!!! Never Been Used!!! This text is totally clean with no writing at all!!!. Bookseller Inventory # 55208

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Book Description Springer, 1997. Book Condition: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: Regular Dynamics: Newton to Poincar; 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: Cramr-Rao Bounds The Chaos Toolkit: Making "Physics" out of Chaos. Bookseller Inventory # ABE_book_new_0387983724

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Book Description Springer-Verlag New York Inc., 1997. HRD. Book Condition: New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. Bookseller Inventory # IP-9780387983721

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Book Description Springer. Book Condition: New. Ships next business day! Brand New!. Bookseller Inventory # ING-9780387983721

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Book Description 1997. Book Condition: New. This item is printed on demand for shipment within 3 working days. Bookseller Inventory # KP9780387983721

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Abarbanel, Henry Author
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Book Description Springer Nov 1997, 1997. Taschenbuch. Book Condition: Neu. 235x155x15 mm. This item is printed on demand - Print on Demand Titel. Neuware - This book develops a clear and systematic treatment of time series of data, regular and chaotic, that one finds in observations of nonlinear systems. The reader is led from measurements of one or more variables through the steps of building models of the source as a dynamical system, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. The text examines methods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic signal and its properties. The emphasis throughout is on the use of the modern mathematical tools for investigating chaotic behavior to uncover properties of physical systems. The methods require knowledge of dynamical systems at the advanced undergraduate level and some knowledge of Fourier transforms and other signal processing methods. The toolkit developed in the book will provide the reader with efficient and effective methods for analyzing signals from nonlinear sources; these methods are applicable to problems of control, communication, and prediction in a wide variety of systems encountered in physics, chemistry, biology, and geophysics. 272 pp. Englisch. Bookseller Inventory # 9780387983721

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Abarbanel, Henry Author
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Book Description Springer Nov 1997, 1997. Taschenbuch. Book Condition: Neu. 235x155x15 mm. Neuware - This book develops a clear and systematic treatment of time series of data, regular and chaotic, that one finds in observations of nonlinear systems. The reader is led from measurements of one or more variables through the steps of building models of the source as a dynamical system, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. The text examines methods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic signal and its properties. The emphasis throughout is on the use of the modern mathematical tools for investigating chaotic behavior to uncover properties of physical systems. The methods require knowledge of dynamical systems at the advanced undergraduate level and some knowledge of Fourier transforms and other signal processing methods. The toolkit developed in the book will provide the reader with efficient and effective methods for analyzing signals from nonlinear sources; these methods are applicable to problems of control, communication, and prediction in a wide variety of systems encountered in physics, chemistry, biology, and geophysics. 272 pp. Englisch. Bookseller Inventory # 9780387983721

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