Non-linearizability of polynomials at irrationally indifferent fixed points

Kodai Mathematical Journal

Yûsuke Okuyama¹ 

[1] DEPARTMENT OF MATHEMATICS GRADUATE SCHOOL OF SCIENCE KYOTO UNIVERSITY

关键词: linearizability;    irrationally indifferent fixed point;    Brjuno number;    cubic-like map;   

DOI  :  10.2996/kmj/1138043988

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(9)In this paper, we consider the non-linearizability of polynomials with irrationally indifferent fixed points. Under the assumption that there exists a cubic polynomial which is linearizable at an irrationally indifferent fixed point with a non-Brjuno multiplier, we show that, for every degree more than two, one can construct a holomorphic family of possible maximal dimension consisting of polynomials linearizable at the fixed point.

【 授权许可】

Unknown