An example showing that fibred quadratic polynomials admit many attracting curves
classification
🧮 math.DS
keywords
attractingexamplefibredquadraticadmittingcurvesinvariantpolynomial
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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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