Details

Autor(en) / Beteiligte

• Ding, X
• Chaté, H
• Cvitanović, P
• Siminos, E
• Takeuchi, K A

Titel

Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits

Ist Teil von

• Physical review letters, 2016-07, Vol.117 (2), p.024101-024101, Article 024101

Ort / Verlag

United States: American Physical Society

Erscheinungsjahr

2016

Link zum Volltext

Quelle

PROLA

Beschreibungen/Notizen

• 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.