Quantcast

Estimating the Dimension of an Inertial Manifold from Unstable Periodic Orbits

Research paper by X. Ding, H. Chaté, P. Cvitanović, E. Siminos, K. A. Takeuchi

Indexed on: 10 Jul '16Published on: 07 Jul '16Published in: Physical review letters



Abstract

Author(s): X. Ding, H. Chaté, P. Cvitanović, E. Siminos, and K. A. TakeuchiWe 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 th…[Phys. Rev. Lett. 117, 024101] Published Thu Jul 07, 2016