Quadratic rational maps lacking period 2 orbits
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- by Rika Hagihara PDF
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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.References
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Additional Information
- Rika Hagihara
- Affiliation: School of Mathematics and Statistics, University of New South Wales, Sydney, NSW 2052, Australia
- Email: r.hagihara@unsw.edu.au
- Received by editor(s): October 23, 2008
- Received by editor(s) in revised form: December 8, 2008
- Published electronically: March 18, 2009
- Communicated by: Jane M. Hawkins
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3077-3090
- MSC (2000): Primary 37F45; Secondary 30D05, 37F10
- DOI: https://doi.org/10.1090/S0002-9939-09-09852-9
- MathSciNet review: 2506466