Estimating dimension of inertial manifold from unstable periodic orbits
Journal article, 2016

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 Kuramoto-Sivashinsky system, and find it to be equal to the ‘physical dimension’ computed previously via the hyperbolicity properties of covariant Lyapunov vectors.

Author

X Ding

H Chaté

P Cvitanovic

Evangelos Siminos

Chalmers, Physics, Subatomic and Plasma Physics

K A Takeuchi

Physical Review Letters

0031-9007 (ISSN) 1079-7114 (eISSN)

Vol. 117 2

Roots

Basic sciences

Subject Categories

Other Physics Topics

DOI

10.1103/PhysRevLett.117.024101

PubMed

27447508

More information

Created

10/7/2017