Browsing Mathematics Masters Theses by Title

Now showing items 1-5 of 5

    • Absolute Stability of a Class of Second Order Feedback Non-Linear, Time-Varying Systems 

      Omotoyinbo, Tayo (North Dakota State University, 2010)
      In this thesis, we consider the problem of absolute stability of continuous time feedback systems with a single, time-varying nonlinearity. Necessary and sufficient conditions for absolute stability of second-order systems ...

    • Bifurcation Portrait of a Hybrid Spiking Neuron Model 

      Goodell, Brandon Grae (North Dakota State University, 2012)
      A bifurcation portrait classifies the behavior of a dynamical system and how it transitions between different behaviors. A hybrid dynamical system displays both continuous and discrete dynamics and may display nonsmooth ...

    • Local Risk Minimization Under Time-Varying Transaction Costs 

      Nitschke, Matthew Cody (North Dakota State University, 2010)
      Closely following the results of Lamberton, Pham, and Schweizer [5] we construct a locally risk-minimizing strategy in a general incomplete market including transactiou costs. This is done in dbcrete time under the ...

    • A New Generalization of Cohen-Kaplansky Domains 

      Kennedy, Diana Michelle (North Dakota State University, 2015)
      The goal of this thesis is to provide an new generalization of Cohen-Kaplansky domains, stemming from questions related to valuation domains. Recall that a Cohen-Kaplansky domain is an atomic integral domain that contains ...

    • The Square of Adjacency Matrices 

      Kranda, Daniel Joseph (North Dakota State University, 2011)
      It can be shown that any symmetric (0, 1)-matrix A with tr A = 0 can be interpreted as the adjacency matrix of a simple, finite graph. The square of an adjacency matrix A2 = (si1) has the property that Sij represents the ...