Nonlinear Time Series Analysis
Edition: 2nd 2003 (Revised)
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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 from chaos theory wherever the data displays more structure than can be captured by traditional methods. Problems of this kind are typical in biology and physiology but also in geophysics, economics, and many other sciences.
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All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.
List price: $89.99
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 11/27/2003
Size: 6.50" wide x 9.50" long x 0.75" tall
|Introduction: why nonlinear methods?|
|Linear tools and general considerations|
|Phase space methods|
|Determinism and predictability|
|Instability: Lyapunov exponents|
|Using nonlinear methods when determinism is weak|
|Selected nonlinear phenomena|
|Advanced embedding methods|
|Chaotic data and noise|
|More about invariant quantities|
|Modelling and forecasting|
|Coupling and synchronisation of nonlinear systems|
|Using the TISEAN programs|
|Description of the experimental data sets|