Chaos and Complexity in Astrophysics

Oded Regev

460 pages, parution le 24/03/2006

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Résumé

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.

Includes a comprehensive and self-contained introduction to dynamical system and pattern theory, especially appropriate for astrophysicists
Uses examples to demonstrate theoretical notions in astronomy and astrophysics whenever possible
Gives many diverse applications of chaos and complexity theory to astrophysics, and discusses them in considerable detail

Sommaire

Part I. Dynamical Systems - General
- Introduction to Part I
- Astrophysical examples
- Mathematical properties of dynamical systems
- Properties of chaotic dynamics
- Analysis of time series
- Regular and irregular motion in Hamiltonian systems
- Extended systems - instabilities and patterns
Part II. Astrophysical Applications
- Introduction to Part II
- Planetary, stellar and galactic dynamics
- Irregularly variable astronomical point sources
- Complex spatial patterns in astrophysics
- Topics in astrophysical fluid dynamics

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	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Oded Regev
Parution	24/03/2006
Nb. de pages	460
Format	17,5 x 25,5
Couverture	Relié
Poids	1080g
Intérieur	Quadri
EAN13	9780521855341
ISBN13	978-0-521-85534-1