An example showing that fibred quadratic polynomials admit many attracting curves

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

2009-09-11

arxiv.org/abs/0909.2271v1

Mathematics

Dynamical Systems

4 pages

Scientific paper

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.

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