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An example showing that fibred quadratic polynomials admit many attracting curves.

Tue, 09/15/2009 - 11:27 — SomNambul
Authors: Mario Ponce
Subjects: Dynamical Systems
link: http://arxiv.org/abs/0909.2271
Abstract

We present an example of a fibred quadratic polynomial admitting an
attracting invariant 2-curve. By an unfolding construction we obtain an example
of a fibred quadratic polynomial admitting two attracting invariant curves.
This phenomena can not occur in the non-fibred setting.