A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc
Abstract
The inviscid and thin accretion disc is a simple and well understood model system in accretion studies. In this work, modelling such a disc like a dynamical system, we analyse the nature of the fixed points of the stationary solutions of the flow. We show that of the two fixed points, one is a saddle and the other is a centre type point. We then demonstrate, using a simple but analogous mathematical model, that a temporal evolution of the flow is a very likely non-perturbative mechanism for the selection of an inflow solution that passes through the saddle type critical point.
Cite
@article{arxiv.astro-ph/0307447,
title = {A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc},
author = {Arnab K. Ray and J. K. Bhattacharjee},
journal= {arXiv preprint arXiv:astro-ph/0307447},
year = {2009}
}
Comments
7 pages, 2 figures. Corrected, altered and expanded version of what has been published in the Proceedings of the First National Conference on Nonlinear Systems and Dynamics (NCNSD 2003), held at Indian Institute of Technology, Kharagpur, India, in December, 2003