SPATIOTEMPORAL CHAOS IN TERMS OF UNSTABLE RECURRENT PATTERNS

Authors
CHRISTIANSEN F CVITANOVIC P PUTKARADZE V
Citation
F. Christiansen et al., SPATIOTEMPORAL CHAOS IN TERMS OF UNSTABLE RECURRENT PATTERNS, Nonlinearity, 10(1), 1997, pp. 55-70
Citations number
23
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
10
Issue
1
Year of publication
1997
Pages
55 - 70
Database
ISI
SICI code
0951-7715(1997)10:1<55:SCITOU>2.0.ZU;2-B
Abstract
Spatiotemporally chaotic dynamics of a Kuramoto-Sivashinsky system is described by means of an infinite hierarchy of its unstable spatiotemp orally periodic solutions. An intrinsic parametrization of the corresp onding invariant set serves as an accurate guide to the high-dimension al dynamics, and the periodic orbit theory yields several global avera ges characterizing the chaotic dynamics.