Dynamics of Polynomial Automorphisms of CN

数学季刊 ›› 1994, Vol. 9 ›› Issue (4): 37-45.

Dynamics of Polynomial Automorphisms of C^N

Henan Universily,Kaifeng,P.R.Chian,475001

收稿日期:1991-03-10 出版日期:1994-12-30 发布日期:2025-04-09

Dynamics of Polynomial Automorphisms of C^N

Henan Universily,Kaifeng,P.R.Chian,475001

Received:1991-03-10 Online:1994-12-30 Published:2025-04-09

摘要/Abstract

摘要： This paper is assigned to discuss the dynamics of a special class of polynomial automorphisms of C which was shown to be dense in the group of the polynomial automorphisms.We give some results about the analytic and geometric properties of the filled-in Julia set and the nonwandering set.We also make a characterization of the stable and unstable manifold for the filled-in Julia set.Furthermore,the number of the fixed points for such maps is studied.

关键词: dynamics, fikked-in Julia set, nonwandering set

Abstract: This paper is assigned to discuss the dynamics of a special class of polynomial automorphisms of C which was shown to be dense in the group of the polynomial automorphisms.We give some results about the analytic and geometric properties of the filled-in Julia set and the nonwandering set.We also make a characterization of the stable and unstable manifold for the filled-in Julia set.Furthermore,the number of the fixed points for such maps is studied.

Key words: dynamics, fikked-in Julia set, nonwandering set

中图分类号:

O174

张文俊. Dynamics of Polynomial Automorphisms of C^N[J]. 数学季刊, 1994, 9(4): 37-45.

Zhang Wenjun. Dynamics of Polynomial Automorphisms of C^N[J]. Chinese Quarterly Journal of Mathematics, 1994, 9(4): 37-45.

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Dynamics of Polynomial Automorphisms of C^N

Dynamics of Polynomial Automorphisms of C^N

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