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Browsing Department of Mathematics (Pure and Applied Mathematics) (ETDs) by Title

Browsing Department of Mathematics (Pure and Applied Mathematics) (ETDs) by Title

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  • Van Wyk, Michael Antonie (1996-06)
    The work presented in this dissertation is concerned with the application of Chaos Theory to the field of Electrical and Electronic Engineering. A comprehensive study on electrical and electronic systems which exhibit ...
  • Braatvedt, Gareth (2009-06)
  • Hardy, Yorick (August 200)
  • Kohler, Astri (1994)
    In this work we concentrate on two generalizations of Lie symmetries namely conditional symmetries in the form of Q-symmetries and approximate symmetries. The theorems and definitions presented can be used to obtain exact ...
  • Behrendt, Darren Robin (2002)
  • Euler, Norbert (1991)
    In this thesis aspects of continuous symmetries of differential equations are studied. In particular the following aspects are studied in detail: Lie algebras, the Lie derivative, the jet bundle formalism for differential ...
  • Hoffman, Lance Douglas
    Some important ideas froni classical control theory are introduced with the intention of applying them to chaotic dynamical systems, in particular the coupled logistic equations. The structure of this dissertation is such ...
  • Ndipingwi, Christopher Mbuh (2008)
    One of the earliest results (1955) in the theory of derivations is the celebrated theorem of I. M. Singer and J. Wermer [14] which asserts that every bounded derivation on a commutative Banach algebra has range contained ...
  • Du Raan, Christella (1994)
    Please refer to full text to view abstract
  • Cronje, Rika (1993)
    Please refer to full text to view abstract
  • Dorfling, Samantha (1998)
    Let G be a graph and D a set of vertices such that every vertex in G is in D or adjacent to at least one vertex in D. Then D is called a dominating set of G and the smallest cardinality of such a dominating set of G is ...
  • Southey, Justin Gilfillan (2012-05-23)
    Domination in graphs is now well studied in graph theory and the literature on this subject has been surveyed and detailed in the two books by Haynes, Hedetniemi, and Slater [45, 46]. In this thesis, we continue the study ...
  • Dorfling, Michael Jacobus (2001)
    The aim of this thesis is to investigate the topic of edge-colourings of graphs in the context of hereditary graph properties. We particularly aim to investigate analogues of reducibility, unique factorization and some ...
  • De Greef, Jacqueline (2013)
    Entanglement is a quantum resource with applications in quantum communication as well as quantum computing amongst others. Since quantum entanglement is such an abstract concept numerous mathematical measures exist. ...
  • Hardy, Yorick (May 2005)
    Keywords: entanglement, complexity, entropy, measurement In chapter 1 the basic principles of communication complexity are introduced. Two-party communication is described explicitly, and multi-party communication ...
  • Musekiwa, Alfred. (2005-11)
    In this study we consider the problem ofestiniating the slope in the simple linear errors-in-variables model. There are two different types of relationship that can he specified in the errors-in-variables model: one that ...
  • Marcon, Alister Justin (2012)
    In Chapter 1, we consider the relevant theory pertaining to graphs and digraphs that will be used in the study of flows in networks. Warshall’s algorithm for reachability is also considered since it will allow us to ...
  • Dorfling, Michael Jacobus (1999-02)
    The aim of the thesis is to develop game-theoretic techniques for dealing with common problems in model theory, mainly that of showing logical equivalence between structures, and to illustrate the effectiveness of the ...
  • Dorfling, Samantha (2001)
    In this thesis we investigate generalized chromatic numbers in the context of hereditary graph properties. We also investigate the general topic of invariants of graphs as well as graph properties. In Chapter 1 we give ...
  • Anderson, Keegan Doig (2011-11)
    Important ideas from dynamical systems theory and the restricted three-body problem are introduced. The intention is the application of dynamical systems theory techniques to the restricted three-body problem to better ...

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