Browse Dissertations and Theses - Mathematics by Contributor "Palmore, Julian"

  • Gaspari, Gregory (1993)
    We establish the decomposition by the Arnold cat map of a uniform lattice of prime$\sp2$ sites into periodic orbits. We give a first integral (constant of motion) of this dynamical system and use it to find additional ...

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  • Levine, Lenore E. (1994)
    A cellular game is a dynamical system in which cells, placed in some discrete structure, are regarded as playing a game with their immediate neighbors. Individual strategies may be either deterministic or stochastic. ...

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  • Dai, Mingde (1997)
    This thesis explores the Hausdorff dimension of fractal sets generated by iterated function systems (IFS). Hutchinson studied IFS and obtained a useful formula to compute the Hausdorff dimension of fractals generated by a ...

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  • Kahng, Byungik (2000)
    We investigate the iterative dynamics of symplectic piecewise-affine elliptic rotation maps associated with matrices with non-integer entries, 0-11a , where -2 < a < 2. We explain how their singularity and periodicity ...

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  • Branson, William Balko (2000)
    This work examines the behavior of meromorphic vector fields k(z) on the plane. The set of trajectories of k(z) whose maximal interval of definition is not all of R is called the incomplete set, and the analysis of ...

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  • Niamsup, Piyapong (1997)
    A complex analytic map f always decomposes the complex plane into two dis-joint subsets, the Julia set J(f) on which the family of iterates of f, $\{f\sp{k}\}\sbsp{k=0}{\infty}$, fails to be a normal family, and its ...

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