The interplay of dynamical systems analysis and group theory.

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:
Dynamics.
Group theory.
Theses > Mathematics.
Online Access:http://hdl.handle.net/10413/10606
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spelling ndltd-netd.ac.za-oai-union.ndltd.org-ukzn-oai-http---researchspace.ukzn.ac.za-10413-106062014-04-24T03:53:08ZThe interplay of dynamical systems analysis and group theory.Djomegni, P. M. Tchepmo.Dynamics.Group theory.Theses--Mathematics.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.Govinder, Kesh S.2014-04-22T14:40:03Z2014-04-22T14:40:03Z20112011Thesishttp://hdl.handle.net/10413/10606en_ZA
collection NDLTD
language en_ZA
sources NDLTD
topic Dynamics.
Group theory.
Theses--Mathematics.
spellingShingle Dynamics.
Group theory.
Theses--Mathematics.
Djomegni, P. M. Tchepmo.
The interplay of dynamical systems analysis and group theory.
description 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.
author2 Govinder, Kesh S.
author_facet Govinder, Kesh S.
Djomegni, P. M. Tchepmo.
author Djomegni, P. M. Tchepmo.
author_sort Djomegni, P. M. Tchepmo.
title The interplay of dynamical systems analysis and group theory.
title_short The interplay of dynamical systems analysis and group theory.
title_full The interplay of dynamical systems analysis and group theory.
title_fullStr The interplay of dynamical systems analysis and group theory.
title_full_unstemmed The interplay of dynamical systems analysis and group theory.
title_sort interplay of dynamical systems analysis and group theory.
publishDate 2014
url http://hdl.handle.net/10413/10606
work_keys_str_mv AT djomegnipmtchepmo theinterplayofdynamicalsystemsanalysisandgrouptheory
AT djomegnipmtchepmo interplayofdynamicalsystemsanalysisandgrouptheory
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