# A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc

Source: [A Dynamical Systems Approach to an Inviscid and Thin Accretion Disc](<https://www.sota2.com/research/paper/68fa23f62c2a37601939d81d>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T07:49:11.502Z

Authors: Arnab K. Ray, J. K. Bhattacharjee

Published: 2003-07-25T12:21:51.000Z

## 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/astro-ph/0307447>)

[PDF](<https://arxiv.org/pdf/astro-ph/0307447.pdf>)