Skip to Main Content

Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Quadratic rational maps lacking period 2 orbits
HTML articles powered by AMS MathViewer

by Rika Hagihara PDF
Proc. Amer. Math. Soc. 137 (2009), 3077-3090 Request permission

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
Similar Articles
  • Retrieve articles in Proceedings of the American Mathematical Society with MSC (2000): 37F45, 30D05, 37F10
  • Retrieve articles in all journals with MSC (2000): 37F45, 30D05, 37F10
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