How Many Real Attractive Fixed Points Can A Polynomial Have?

2016/05/25 by Coelho, Terence, Kalantari, Bahman · 1 citation
#37C25 #65E05 #Dynamical Systems (math.DS) #FOS: Mathematics #G.1.4 #G.1.5 #Numerical Analysis (math.NA)

paper · doi:10.48550/arxiv.1605.07859

Abstract

We prove a complex polynomial of degree n has at most \lceil n/2 \rceil attractive fixed points lying on a line. We also consider the general case.

Cited by

• Real non-attractive fixed point conjecture for complex harmonic functions

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