Chaos and Complexity in Astrophysics

Erscheinungsjahr 2015
ISBN: 978-0-521-85534-1
Verlag: Cambridge University Press

Buch, Englisch, 468 Seiten, Format (B × H): 175 mm x 250 mm, Gewicht: 984 g

The discipline of nonlinear dynamics has developed explosively in all areas of physics over the last two decades. This comprehensive primer 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.

Regev, Oded

Fachgebiete

• Naturwissenschaften Astronomie Astrophysik
• Mathematik | Informatik Mathematik Mathematik Interdisziplinär Systemtheorie
• Naturwissenschaften Physik Angewandte Physik Statistische Physik, Dynamische Systeme
• Interdisziplinäres Wissenschaften Wissenschaften: Forschung und Information Kybernetik, Systemtheorie, Komplexe Systeme
• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Mathematik | Informatik Mathematik Geometrie Dynamische Systeme

Inhaltsverzeichnis

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.

Über Autor(innen)

Regev, Oded
Oded Regev is Professor of Physics at Technion - Israel Institute of Technology. He is co-author of Physics with Answers with Andrew King (0521483697).