Chaos in Astrophysics, Softcover reprint of the original 1st ed. 1985 Nato Science Series C: Series, Vol. 161

The per iod of an oscillator tells us much about its structure. J. J. Thomson's deduction that a particle with the e/rn of an electron was in the atom is perhaps the most stunning instance. For us, the deduction of the mean density of a star from its oscillation period is another important example. What then can we deduce about an oscillator that is not periodic? If there are several frequencies or if the behavior is chaotic, may we not hope to learn even more delicate vital statistics about its workings? The recent progress in the theory of dynamical systems, particularly in the elucidat ion of the nature of chaos, makes it seem reasonable to ask this now. This is an account of some of the happenings of a workshop at which this question was raised and discussed. ~iTe were inc0rested in seeing ways in which the present understanding of chaos might guide astrophysical modelling and the interpretation of observations. But we did not try to conceal that we were also interested in chaos itself, and that made for a pleasant rapport between the chaoticists and astrophysicists at the meeting. We have several introductory papers on chaos in these proceedings, particularly on the analysis of data from systems that may be suspected of chaotic behavior. The papers of Geisel, Grassberger and Guckenheimer introduce the ways of characterizing chaos and Perdang illustrates how some of these ideas may be put into practice in explicit cases.

A Matter of Stability: Professor Paul Ledoux.- Irregular Stellar Variability.- Cosmic Arrhythmias.- A Perturbative Approach to Stellar Pulsations.- Chaos and Noise.- Clues to Strange Attractors.- Information Aspects of Strange Attractors.- On the Rapid Generation of Magnetic Fields.- Ordered and Chaotic Motions in Hamiltonian Systems and the Problems of Energy Partition.- The Transition to Chaos in Galactic Models of Two and Three Degrees of Freedom.- Nonlinear Nonradial Adiabatic Stellar Oscillations: Numerical Results for Many-Mode Couplings.- Chaotic Oscillations in a Simple Stellar Model — A Mechanism for Irregular Variability.- X-Ray Bursters — The Hot Road to Chaos?.- Compressible MHD Turbulence: An Efficient Mechanism to Heat Stellar Coronae.