Nonlinear Time Series Analysis

Name: Nonlinear Time Series Analysis
Price: 76.22 USD
Availability: InStock
ISBN: 9780521529020

ISBN-10: 0521529026

ISBN-13: 9780521529020

Edition: 2nd 2003 (Revised)

Authors: Holger Kantz, Thomas Schreiber

List price: $104.00

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Description:

The paradigm of deterministic chaos has influenced thinking in many fields of science. Chaotic systems show rich and surprising mathematical structures. In the applied sciences, deterministic chaos provides a striking explanation for irregular behaviour and anomalies in systems which do not seem to be inherently stochastic. The most direct link between chaos theory and the real world is the analysis of time series from real systems in terms of nonlinear dynamics. Experimental technique and data analysis have seen such dramatic progress that, by now, most fundamental properties of nonlinear dynamical systems have been observed in the laboratory. Great efforts are being made to exploit ideas…

Book details

List price: $104.00
Edition: 2nd
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 11/27/2003
Binding: Paperback
Pages: 388
Size: 6.69" wide x 9.69" long x 0.91" tall
Weight: 1.760
Language: English



Preface


Acknowledgements



Basic Topics



Introduction: why nonlinear methods?



Linear tools and general considerations



Phase space methods



Determinism and predictability



Instability: Lyapunov exponents



Self-similarity: dimensions



Using nonlinear methods when determinism is weak



Selected nonlinear phenomena



Advanced Topics



Advanced embedding methods



Chaotic data and noise



More about invariant quantities



Modelling and forecasting



Non-stationary signals



Coupling and synchronisation of nonlinear systems



Chaos control



Using the TISEAN programs



Description of the experimental data sets


References


Index