The interplay of dynamical systems analysis and group theory.

We investigate the relationship between the Dynamical Systems analysis and the Lie Symmetry analysis of ordinary differential equations. We undertake this investigation by looking at a relativistic model of self-gravitating charged fluids. Specifically we look at the impact of specific parameters ob...

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Bibliographic Details
Main Author: Djomegni, P. M. Tchepmo.
Other Authors: Govinder, Kesh S.
Language:en_ZA
Published: 2014
Subjects:
Online Access:http://hdl.handle.net/10413/10606
Description
Summary:We investigate the relationship between the Dynamical Systems analysis and the Lie Symmetry analysis of ordinary differential equations. We undertake this investigation by looking at a relativistic model of self-gravitating charged fluids. Specifically we look at the impact of specific parameters obtained from Lie Symmetries analysis on the qualitative behaviour of the model. Steady states, stability and possible bifurcations are explored. === Thesis (M.Sc.)-University of KwaZulu-Natal, Westville, 2011.