A4 Article in conference proceedings
On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems (2019)


Kuznetsov, N. V.; Mokaev, T. N.; Kudryashova, E. V.; Kuznetsova, O. A.; Danca, M.-F. (2019). On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems. In Danciu, Daniela (Eds.) 15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019, IFAC-PapersOnLine. IFAC 52 (18). DOI: 10.1016/j.ifacol.2019.12.213


JYU authors or editors


Publication details

All authors or editors: Kuznetsov, N. V.; Mokaev, T. N.; Kudryashova, E. V.; Kuznetsova, O. A.; Danca, M.-F.

Parent publication: 15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019

Parent publication editors: Danciu, Daniela

Conference:

IFAC Workshop on Time Delay Systems

Place and date of conference: Sinaia, Romania, 9.-11.9.2019

Journal or series: IFAC-PapersOnLine

eISSN: 2405-8963

Publication year: 2019

Volume: 52

Issue number: 18

Number of pages in the book: 178

Publisher: IFAC; Elsevier

Publication country: United Kingdom

Publication language: English

DOI: https://doi.org/10.1016/j.ifacol.2019.12.213

Open Access: Other way freely accessible online


Abstract

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.


Free keywords: chaos; hidden; self-excited attractors; Lyapunov dimension; Lyapunov exponents; unstable periodic orbit; time-delay feedback control


Contributing organizations


Ministry reporting: Yes

Reporting Year: 2019

JUFO rating: 1


Last updated on 2020-09-07 at 11:47