Chaos and Complexity in Astrophysics

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Cambridge University Press, Mar 23, 2006 - Mathematics - 455 pages
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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. Oded Regev demonstrates the possible application of ideas including strange attractors, Poincaré sections, fractals, bifurcations, and complex spatial patterns, to specific astrophysical problems.
 

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Contents

Introduction to Part I
3
Mathematical properties of dynamical systems
40
Properties of chaotic dynamics
112
Analysis of time series
146
Regular and irregular motion in Hamiltonian systems
168
Extended systems instabilities and patterns
201
Introduction to Part II
257
Irregularly variable astronomical point sources
317
Complex spatial patterns in astrophysics
347
Topics in astrophysical fluid dynamics
381
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