ON THE NUMERICAL ALGEBRAIC-APPROXIMATION OF GLOBAL ATTRACTORS

Authors
FOIAS C JOLLY MS
Citation
C. Foias et Ms. Jolly, ON THE NUMERICAL ALGEBRAIC-APPROXIMATION OF GLOBAL ATTRACTORS, Nonlinearity, 8(3), 1995, pp. 295-319
Citations number
30
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
8
Issue
3
Year of publication
1995
Pages
295 - 319
Database
ISI
SICI code
0951-7715(1995)8:3<295:OTNAOG>2.0.ZU;2-6
Abstract
An algebraic approximation of global attractors introduced by Foias an d Temam is developed into a numerically stable algorithm and implement ed for the Lorenz system and Kuramoto-Sivashinsky equation. An error e stimate is derived for the numerical computation of a sequence of impr oper integrals needed for the polynomials. The zero sets of the approx imating polynomials are observed to approach the global attractor at r ates which seem to vary with the recurrence of the solution orbits.