| Titre : |
Chaos and time-series analysis |
| Type de document : |
texte imprimé |
| Auteurs : |
Julien C. (1942-....) Sprott, Auteur |
| Editeur : |
Oxford : Oxford university press |
| Année de publication : |
2003 |
| Importance : |
XX, 507 p. |
| Présentation : |
ill. |
| Format : |
24 cm. |
| ISBN/ISSN/EAN : |
978-0-19-850840-3 |
| Note générale : |
Bibliogr. p. [449]-485. - Index |
| Langues : |
Anglais (eng) |
| Mots-clés : |
Chaotic behavior in systems
Ordre et désordre (physique)
Chaos (théorie des systèmes)
Séries chronologiques
Time-series analysis |
| Index. décimale : |
681.51 Systemes de régulation automatique en général.caractéristiques techniques de la cybernétique |
| Résumé : |
An introduction to developments in chaos and related topics in nonlinear dynamics, including the detection and quantification of chaos in experimental data, fractals, and complex systems. Most of the important elementary concepts in nonlinear dynamics are discussed, with emphasis on the physical concepts and useful results rather than mathematical proofs and derivations. While many books on chaos are purely qualitative and many others are highly mathematical, this book fills the middle ground by giving the essential equations, but in the simplest possible form. It assumes only an elementary knowledge of calculus. Complex numbers, differential equations, and vector calculus are used in places, but those tools are described as required. The book is aimed at the student, scientist, or engineer who wants to learn how to use the ideas in a practical setting. It is written at a level suitable for advanced undergraduate and beginning graduate students in all fields of science and engineering. |
| Note de contenu : |
Summary :
1. Introduction
2. One-dimensional maps
3. Nonchaotic multidimensional flows
4. Dynamical systems theory
5. Lyapunov exponents
6. Strange attractors
7. Bifurcations
8. Hamiltonian chaos
9. Time-series properties
10. Nonlinear prediction and noise reduction
11. Fractals
12. Calculation of fractal dimension
13. Fractal measure and multifractals
14. Nonchaotic fractal sets
15. Spatiotemporal chaos and complexity |
| En ligne : |
http://www.sersc.org/journals/IJFGCN/vol2_no3/3.pdf |
Chaos and time-series analysis [texte imprimé] / Julien C. (1942-....) Sprott, Auteur . - Oxford : Oxford university press, 2003 . - XX, 507 p. : ill. ; 24 cm. ISBN : 978-0-19-850840-3 Bibliogr. p. [449]-485. - Index Langues : Anglais ( eng)
| Mots-clés : |
Chaotic behavior in systems
Ordre et désordre (physique)
Chaos (théorie des systèmes)
Séries chronologiques
Time-series analysis |
| Index. décimale : |
681.51 Systemes de régulation automatique en général.caractéristiques techniques de la cybernétique |
| Résumé : |
An introduction to developments in chaos and related topics in nonlinear dynamics, including the detection and quantification of chaos in experimental data, fractals, and complex systems. Most of the important elementary concepts in nonlinear dynamics are discussed, with emphasis on the physical concepts and useful results rather than mathematical proofs and derivations. While many books on chaos are purely qualitative and many others are highly mathematical, this book fills the middle ground by giving the essential equations, but in the simplest possible form. It assumes only an elementary knowledge of calculus. Complex numbers, differential equations, and vector calculus are used in places, but those tools are described as required. The book is aimed at the student, scientist, or engineer who wants to learn how to use the ideas in a practical setting. It is written at a level suitable for advanced undergraduate and beginning graduate students in all fields of science and engineering. |
| Note de contenu : |
Summary :
1. Introduction
2. One-dimensional maps
3. Nonchaotic multidimensional flows
4. Dynamical systems theory
5. Lyapunov exponents
6. Strange attractors
7. Bifurcations
8. Hamiltonian chaos
9. Time-series properties
10. Nonlinear prediction and noise reduction
11. Fractals
12. Calculation of fractal dimension
13. Fractal measure and multifractals
14. Nonchaotic fractal sets
15. Spatiotemporal chaos and complexity |
| En ligne : |
http://www.sersc.org/journals/IJFGCN/vol2_no3/3.pdf |
|  |
Chaos and time-series analysis (2003)
