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Books > Science & Mathematics > Mathematics > Applied mathematics > Chaos theory
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Analysis of Observed Chaotic Data (Hardcover)
Loot Price: R2,647
Discovery Miles 26 470
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Analysis of Observed Chaotic Data (Hardcover)
Series: Institute for Nonlinear Science (Closed)
Expected to ship within 12 - 19 working days
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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.
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