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A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc

Arnab K. Ray·J. K. Bhattacharjee
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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.

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Arnab K. Ray, J. K. Bhattacharjee. 2005-10-07. A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc. https://arxiv.org/abs/astro-ph/0307447

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