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Parabolic basin
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Mathematics
Area of mathematics
Analysis
Complex dynamics
Fatou set
Fixed Fatou component classification
2026-09-28
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A
parabolic basin consists of points whose iterates converge to
a
parabolic cycle
along
a
specified attracting direction. Each connected basin component lies in the
Fatou set
, and its boundary lies in the
Julia set
.
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Fixed Fatou component classification
Fatou set
Complex dynamics
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 157
/
4
/
b
/
Solution
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