Nonlinear Time Series Analysis (Cambridge Nonlinear Science Series, Series Number 7) - Hardcover

Kantz, Holger; Schreiber, Thomas

Hardcover

ISBN 10: 0521551447 ISBN 13: 9780521551441

Publisher: Cambridge University Press, 1997

Synopsis

Deterministic chaos provides a novel framework for the analysis of irregular time series. Traditionally, nonperiodic signals are modeled by linear stochastic processes. But even very simple chaotic dynamical systems can exhibit strongly irregular time evolution without random inputs. Chaos theory offers completely new concepts and algorithms for time series analysis which can lead to a thorough understanding of the signal. The book introduces a broad choice of such concepts and methods, including phase space embeddings, nonlinear prediction and noise reduction, Lyapunov exponents, dimensions and entropies, as well as statistical tests for nonlinearity. Related topics like chaos control, wavelet analysis and pattern dynamics are also discussed. Applications range from high quality, strictly deterministic laboratory data to short, noisy sequences which typically occur in medicine, biology, geophysics or the social sciences. All material is discussed and illustrated using real experimental data.

About this title

Review

..".original, fundamentally honest and very useful and valuable...an indispensable tool for all student, engineers and researchers who are confronted with the analysis of possibly chaotic signals." Journal of Biological Sciences

Book Description

Deterministic chaos provides a striking explanation for irregular behaviour and anomalies in systems which seem not to be inherently stochastic. This book describes the most direct link between chaos theory and the real world, which is the analysis of time series from real systems in terms of nonlinear dynamics.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1997
• ISBN 10: 0521551447
• ISBN 13: 9780521551441
• Binding: Hardcover
• Language: English
• Number of pages: 320