An example showing that fibred quadratic polynomials admit many attracting curves

Mario Ponce

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arXiv · 0909.2271

An example showing that fibred quadratic polynomials admit many attracting curves

Mario Ponce

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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.

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Mario Ponce. 2009-09-11. An example showing that fibred quadratic polynomials admit many attracting curves. https://arxiv.org/abs/0909.2271

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