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QUADRATIC RATIONAL MAPS LACKING PERIOD 2 ORBITS

RIKA HAGIHARA
Proceedings of the American Mathematical Society
Vol. 137, No. 9 (SEPTEMBER 2009), pp. 3077-3090
Stable URL: http://www.jstor.org/stable/40590484
Page Count: 14
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
QUADRATIC RATIONAL MAPS LACKING PERIOD 2 ORBITS
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Abstract

We study dynamical properties of a parameterized family of quadratic rational maps, all of whose members lack period 2 orbits. We classify regions in the parameter space of the family according to the behavior of marked critical points. We characterize the parameter space by comparing it with the Mandelbrot set.

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