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Cover: 9780521529020 | Nonlinear Time Series Analysis | Holger Kantz (u. a.) | Taschenbuch
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Nonlinear Time Series Analysis
Taschenbuch von Holger Kantz (u. a.)
Sprache: Englisch

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Beschreibung
The time variability of many natural and social phenomena is not well described by standard methods of data analysis. Nonlinear time series analysis uses chaos theory and nonlinear dynamics to understand such seemingly unpredictable behaviour. Results are applied to real data from physics, biology, medicine, and engineering. While based on a sound mathematical background, the book emphasises practical usefulness. Researchers from all experimental disciplines, including physics, the life sciences, and economy, will find guidance for the analysis of real world systems.
The time variability of many natural and social phenomena is not well described by standard methods of data analysis. Nonlinear time series analysis uses chaos theory and nonlinear dynamics to understand such seemingly unpredictable behaviour. Results are applied to real data from physics, biology, medicine, and engineering. While based on a sound mathematical background, the book emphasises practical usefulness. Researchers from all experimental disciplines, including physics, the life sciences, and economy, will find guidance for the analysis of real world systems.
Inhaltsverzeichnis
Preface; Acknowledgements; Part I. Basic Topics: 1. Introduction: why nonlinear methods?; 2. Linear tools and general considerations; 3. Phase space methods; 4. Determinism and predictability; 5. Instability: Lyapunov exponents; 6. Self-similarity: dimensions; 7. Using nonlinear methods when determinism is weak; 8. Selected nonlinear phenomena; Part II. Advanced Topics: 9. Advanced embedding methods; 10. Chaotic data and noise; 11. More about invariant quantities; 12. Modelling and forecasting; 13. Non-stationary signals; 14. Coupling and synchronisation of nonlinear systems; 15. Chaos control; Appendix A: using the TISEAN programs; Appendix B: description of the experimental data sets; References; Index.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521529020
ISBN-10: 0521529026
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kantz, Holger
Schreiber, Thomas
Auflage: 2. Auflage
Hersteller: Cambridge University Press
Maße: 244 x 170 x 21 mm
Von/Mit: Holger Kantz (u. a.)
Erscheinungsdatum: 23.08.2006
Gewicht: 0,668 kg
Artikel-ID: 102528264
Inhaltsverzeichnis
Preface; Acknowledgements; Part I. Basic Topics: 1. Introduction: why nonlinear methods?; 2. Linear tools and general considerations; 3. Phase space methods; 4. Determinism and predictability; 5. Instability: Lyapunov exponents; 6. Self-similarity: dimensions; 7. Using nonlinear methods when determinism is weak; 8. Selected nonlinear phenomena; Part II. Advanced Topics: 9. Advanced embedding methods; 10. Chaotic data and noise; 11. More about invariant quantities; 12. Modelling and forecasting; 13. Non-stationary signals; 14. Coupling and synchronisation of nonlinear systems; 15. Chaos control; Appendix A: using the TISEAN programs; Appendix B: description of the experimental data sets; References; Index.
Details
Erscheinungsjahr: 2006
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521529020
ISBN-10: 0521529026
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Kantz, Holger
Schreiber, Thomas
Auflage: 2. Auflage
Hersteller: Cambridge University Press
Maße: 244 x 170 x 21 mm
Von/Mit: Holger Kantz (u. a.)
Erscheinungsdatum: 23.08.2006
Gewicht: 0,668 kg
Artikel-ID: 102528264
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