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
收藏
页码：1835 / 1846
页数：12
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