Statistical description of a simulacrum for eruptive variables

Details Statistical description of a simulacrum for eruptive variables Statistical description of a simulacrum for eruptive variables

Mar 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983a%26a...119..315w&link_type=abstract

Astronomy and Astrophysics, vol. 119, no. 2, Mar. 1983, p. 315-318.

Astronomy and Astrophysics

Astrophysics

Bursts, Flare Stars, Stochastic Processes, Variable Stars, Integral Equations, Markov Processes, Monte Carlo Method

Scientific paper

The solution to a nonlinear difference equation revealing chaotically distributed 'bursts' is described in terms of an integral equation. An approximate analytical solution to the equation is found to be in good agreement with a Monte Carlo calculation. A simplified analysis made of the distribution of peak values is shown to give a good fit to the numerical solution, and a higher-order approximation is deemed unnecessary. It is noted, however, that the fluctuating deviations between the histogram and the smooth analytical curve are significantly larger than the square root of the counted numbers. The 'noise' in this solution is thus not governed by Poisson statistics. Since independent runs display distinct patterns of fluctuation, the specific pattern is found not to be a property of the governing equation.

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