Julia sets in iterative KAM methods for eigenvalue problems

Authors
Govin, M Jauslin, HR Cibils, M
Citation
M. Govin et al., Julia sets in iterative KAM methods for eigenvalue problems, CHAOS SOL F, 9(11), 1998, pp. 1835-1846
Citations number
17
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
9
Issue
11
Year of publication
1998
Pages
1835 - 1846
Database
ISI
SICI code
0960-0779(199811)9:11<1835:JSIIKM>2.0.ZU;2-3
Abstract
We present two iterative KAM methods for eigenvalue problems. We discuss th eir convergence properties for matrices of finite dimension when a perturba tion parameter epsilon is varied. We observe different domains separated by Julia sets related to avoided crossings. (C) 1998 Elsevier Science Ltd. Al l rights reserved.