A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system

Abstract

In this short report, for the classical Lorenz attractor we demonstrate the applications of the Pyragas time-delayed feedback control technique and Leonov analytical method for the Lyapunov dimension estimation and verification of the Eden's conjecture. The problem of reliable numerical computation of the finite-time Lyapunov dimension along the trajectories over large time intervals is discussed.

arXiv admin note: text overlap with arXiv:1807.00235