Bounded hyperbolic components of quadratic rational maps

Let ${\cal H}$ be a hyperbolic component of quadratic rational maps possessing two distinct attracting cycles. We show that ${\cal H}$ has compact closure in moduli space if and only if neither attractor is a fixed point.

Saved in:

Bibliographic Details
Main Author	Epstein, Adam L
Format	Journal Article
Language	English
Published	14.09.1997
Subjects	Mathematics - Dynamical Systems
Online Access	Get full text

Cover

Loading…

More Information
Summary:	Let ${\cal H}$ be a hyperbolic component of quadratic rational maps possessing two distinct attracting cycles. We show that ${\cal H}$ has compact closure in moduli space if and only if neither attractor is a fixed point.
Bibliography:	Stony Brook IMS 1997/9. Dynamical Systems 9/15/97
DOI:	10.48550/arxiv.math/9709225