6533b820fe1ef96bd1279de3
RESEARCH PRODUCT
On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems
N. V. KuznetsovT. N. MokaevE. V. KudryashovaO. A. KuznetsovaM.-f. Dancasubject
Nonlinear Sciences::Chaotic Dynamicstime-delay feedback controlchaoshiddenself-excited attractorsLyapunov dimensionLyapunov exponentsunstable periodic orbitdescription
In this paper, on the example of the Rössler systems, the application of the Pyragas time-delay feedback control technique for verification of Eden’s conjecture on the maximum of local Lyapunov dimension, and for the estimation of the topological entropy is demonstrated. To this end, numerical experiments on computation of finite-time local Lyapunov dimensions and finite-time topological entropy on a Rössler attractor and embedded unstable periodic orbits are performed. The problem of reliable numerical computation of the mentioned dimension-like characteristics along the trajectories over large time intervals is discussed. peerReviewed
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2019-01-01 |