Buch, Englisch, 470 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 804 g
Buch, Englisch, 470 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 804 g
ISBN: 978-1-107-40654-4
Verlag: Cambridge University Press
The discipline of nonlinear dynamics has developed explosively in all areas of physics. This comprehensive primer, first published in 2006, summarizes the main developments in the mathematical theory of dynamical systems, chaos, pattern formation and complexity. An introduction to mathematical concepts and techniques is given in the first part of the book, before being applied to stellar, interstellar, galactic and large scale complex phenomena in the Universe. Regev demonstrates the possible application of ideas including strange attractors, Poincaré sections, fractals, bifurcations, and complex spatial patterns, to specific astrophysical problems. This self-contained text will appeal to a broad audience of astrophysicists and astronomers who wish to understand and apply modern dynamical approaches to the problems they are working on. It provides researchers and graduate students with the investigative tools they need to fully explore chaotic and complex phenomena.
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
- Naturwissenschaften Physik Angewandte Physik Astrophysik
- Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
- Mathematik | Informatik Mathematik Geometrie Dynamische Systeme
- Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
- Naturwissenschaften Astronomie Astrophysik
Weitere Infos & Material
Part I. Dynamical Systems - General: 1. Introduction to Part I; 2. Astrophysical examples; 3. Mathematical properties of dynamical systems; 4. Properties of chaotic dynamics; 5. Analysis of time series; 6. Regular and irregular motion in Hamiltonian systems; 7. Extended systems - instabilities and patterns; Part II. Astrophysical Applications: 8. Introduction to Part II; 9. Planetary, stellar and galactic dynamics; 10. Irregularly variable astronomical point sources; 11. Complex spatial patterns in astrophysics; 12. Topics in astrophysical fluid dynamics; References; Index.
