ON THE COMPUTATION OF INVARIANT-MANIFOLDS OF FIXED-POINTS

Authors
HOMBURG AJ OSINGA HM VEGTER G
Citation
Aj. Homburg et al., ON THE COMPUTATION OF INVARIANT-MANIFOLDS OF FIXED-POINTS, Zeitschrift fur angewandte Mathematik und Physik, 46(2), 1995, pp. 171-187
Citations number
16
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics
Journal title
Zeitschrift fur angewandte Mathematik und Physik → ACNP
ISSN journal
00442275
Volume
46
Issue
2
Year of publication
1995
Pages
171 - 187
Database
ISI
SICI code
0044-2275(1995)46:2<171:OTCOIO>2.0.ZU;2-5
Abstract
We present a method for the numerical computation of invariant manifol ds of hyperbolic and pseudohyperbolic fixed points of diffeomorphisms. The derivation of this algorithm is based on well-known properties of (almost) invariant foliations. Numerical results illustrate the perfo rmance of our method.