%0 Journal Article
%T A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc
%A Arnab K. Ray
%A J. K. Bhattacharjee
%J Physics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/astro-ph/0307447v2