6533b7dbfe1ef96bd1271662

RESEARCH PRODUCT

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

N. V. KuznetsovT. N. MokaevR. N. MokaevO. A. KuznetsovaE. V. Kudryashova

subject

Nonlinear Sciences::Chaotic DynamicsMathematics::Dynamical SystemsFOS: Physical sciencesChaotic Dynamics (nlin.CD)Nonlinear Sciences - Chaotic Dynamics

description

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.

yearjournalcountryeditionlanguage
2019-10-19
http://arxiv.org/abs/1910.08740