Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits - CEA - Commissariat à l’énergie atomique et aux énergies alternatives Access content directly
Journal Articles Physical Review Letters Year : 2016

Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits

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.
Fichier principal
Vignette du fichier
PhysRevLett.117.024101.pdf (582.68 Ko) Télécharger le fichier
Origin : Publisher files allowed on an open archive

Dates and versions

cea-01483878 , version 1 (06-03-2017)

Identifiers

Cite

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, 2016, 117, pp.024101. ⟨10.1103/PhysRevLett.117.024101⟩. ⟨cea-01483878⟩
100 View
146 Download

Altmetric

Share

Gmail Facebook X LinkedIn More