Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits

X. Ding 1 H. Chate 2 P. Cvitanović 1 E. Siminos 3 K.A. Takeuchi 4
1 CNS-GATECH - Center for Nonlinear Science
2 SPHYNX - Systèmes Physiques Hors-équilibre, hYdrodynamique, éNergie et compleXes
SPEC - UMR3680 - Service de physique de l'état condensé, IRAMIS - Institut Rayonnement Matière de Saclay
3 Chalmers University of Technology, Department of Applied Physics, Division of Nuclear Engineering, SE-412 96 Göteborg, Sweden
4 Department of Applied Physics, The University of Tokyo
Abstract : We provide numerical evidence that a finite-dimensional inertial manifold on which the dynamics of a chaotic dissipative dynamical system lives can be constructed solely from the knowledge of a set of unstable periodic orbits. In particular, we determine the dimension of the inertial manifold for the Kuramoto-Sivashinsky system and find it to be equal to the " physical dimension " computed previously via the hyperbolicity properties of covariant Lyapunov vectors.
Type de document :
Article dans une revue
Physical Review Letters, American Physical Society, 2016, 117, pp.024101. 〈10.1103/PhysRevLett.117.024101〉
Liste complète des métadonnées
https://hal-cea.archives-ouvertes.fr/cea-01483878
Contributeur : Dominique Girard <>
Soumis le : lundi 6 mars 2017 - 15:34:22
Dernière modification le : jeudi 7 février 2019 - 14:58:43
Document(s) archivé(s) le : mercredi 7 juin 2017 - 14:35:14

Fichier

PhysRevLett.117.024101.pdf
Fichiers éditeurs autorisés sur une archive ouverte

Identifiants

Collections

CEA | DSM-IRAMIS | IRAMIS-SPEC | UNIV-PARIS-SACLAY | CEA-DRF | CEA-UPSAY

Citation

X. Ding, H. Chate, P. Cvitanović, E. Siminos, K.A. Takeuchi. Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits. Physical Review Letters, American Physical Society, 2016, 117, pp.024101. 〈10.1103/PhysRevLett.117.024101〉. 〈cea-01483878〉

Exporter

BibTeX TEI DC DCterms EndNote

Partager

Métriques

Consultations de la notice

158

Téléchargements de fichiers

56

Contact

support.ccsd.cnrs.fr
hal.support@ccsd.cnrs.fr
Logo CCSD