Statistics – Computation
Scientific paper
Dec 1990
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990nyasa.617...87p&link_type=abstract
(Nonlinear astrophysical fluid dynamics; Proceedings of the 5th Florida Workshop in Nonlinear Astronomy, Gainesville, FL, Oct. 5
Statistics
Computation
1
Computational Astrophysics, Conformal Mapping, Stellar Models, Stellar Oscillations, Computer Graphics, Iterative Solution, Nonlinear Equations, Parameter Identification, Temporal Distribution
Scientific paper
The mathematical basis, implementation, and preliminary results of numerical simulations of nonlinear stellar pulsations are examined. The approach is based on the construction of a discrete parameterized map (as described by Perdang, 1989) to represent as many features as possible of the higher-order differential system actually required to describe stellar oscillations. The structural stability of iterative maps and families of maps is explored; the generation of one- and two-dimensional families of maps for stellar pulsations is explained; and simulation results are presented in color computer graphics and briefly characterized. Strong evidence is found for the fractal nature of the boundaries between basins of different time behavior, corresponding to parallel lines bounding regions of differing oscillatory behavior on the HR diagram.
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