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 Browse Dissertations and Theses  Mathematics by Contributor
Browse Dissertations and Theses  Mathematics by Contributor "Palmore, Julian"
Now showing items 16 of 6

(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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(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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(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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(2000)We investigate the iterative dynamics of symplectic piecewiseaffine elliptic rotation maps associated with matrices with noninteger entries, 011a , where 2 < a < 2. We explain how their singularity and periodicity ...
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(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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(1997)A complex analytic map f always decomposes the complex plane into two disjoint 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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Now showing items 16 of 6