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Filtering by: Subject Differentiable dynamical systems Remove constraint Subject: Differentiable dynamical systems Committee Member Dascaliuc, Radu Remove constraint Committee Member: Dascaliuc, Radu

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  • Localized Structures in a Diffusive Run-and-Tumble Model of Myxococcus xanthus

    Creator:
    Flynn, Patrick Thomas
    Abstract:
    The bacteria Myxococcus xanthus clusters into fruiting bodies in the absence of food. The movement of M. xanthus has three aspects: self-propulsion (run), change of direction due to collision (tumble), and Brownian fluctuations in movement. We propose a minimalist PDE model for the concentrations of left and right moving agents...
    Resource Type:
    Honors College Thesis
    Full Text:
    stationary solutions to this equation, utilizing geometry and dynamical systems theory to show existence of

  • Arithmetic dynamical questions with local rationality conditions

    Creator:
    Noytaptim, Chatchai
    Abstract:
    We introduce a numerical criterion which allows us to bound the degree of any algebraic integer having all of Galois conjugates in an interval of length less than 4. Using this criterion, we study two arithmetic dynamical questions with local rationality conditions. First, we classify all unicritical polynomials defined over...
    Resource Type:
    Dissertation
    Full Text:
    ) ∈ K[x] of degree d > 1. For a dynamical system f ∶ K → K, we usually denote by fn, the n-fold