Julia sets in iterative KAM methods for eigenvalue problems

被引：4

作者：

Govin, M

Jauslin, HR

Cibils, M

机构：

[1] Univ Bourgogne, CNRS, Fac Sci Mirande, Phys Lab, F-21011 Dijon, France

[2] Univ Lausanne, Inst Phys Theor, CH-1015 Lausanne, Switzerland

来源：

CHAOS SOLITONS & FRACTALS | 1998年 / 9卷 / 11期

关键词：

D O I：

10.1016/S0960-0779(97)00187-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present two iterative KAM methods for eigenvalue problems. We discuss their convergence properties for matrices of finite dimension when a perturbation parameter epsilon is varied. We observe different domains separated by Julia sets related to avoided crossings. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

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页码：1835 / 1846

页数：12

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