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On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems. / Kuznetsov, N. V.; Mokaev, T. N.; Kudryashova, E. V.; Kuznetsova, O. A.; Danca, M. F.

In: IFAC-PapersOnLine, Vol. 52, No. 18, 01.01.2019, p. 97-102.

Research output: Contribution to journal › Conference article › peer-review

Harvard

Kuznetsov, NV, Mokaev, TN, Kudryashova, EV, Kuznetsova, OA & Danca, MF 2019, 'On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems', IFAC-PapersOnLine, vol. 52, no. 18, pp. 97-102. https://doi.org/10.1016/j.ifacol.2019.12.213

APA

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. IFAC-PapersOnLine, 52(18), 97-102. https://doi.org/10.1016/j.ifacol.2019.12.213

Vancouver

Kuznetsov NV, Mokaev TN, Kudryashova EV, Kuznetsova OA, Danca MF. On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems. IFAC-PapersOnLine. 2019 Jan 1;52(18):97-102. https://doi.org/10.1016/j.ifacol.2019.12.213

Author

Kuznetsov, N. V. ; Mokaev, T. N. ; Kudryashova, E. V. ; Kuznetsova, O. A. ; Danca, M. F. / On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems. In: IFAC-PapersOnLine. 2019 ; Vol. 52, No. 18. pp. 97-102.

BibTeX

@article{0f0b2907262d4ab58d96cb2f6c39a28d,
title = "On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems",
abstract = "In this paper, on the example of the R{\"o}ssler 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 R{\"o}ssler 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.",
keywords = "chaos, hidden, Lyapunov dimension, Lyapunov exponents, self-excited attractors, time-delay feedback control, unstable periodic orbit",
author = "Kuznetsov, {N. V.} and Mokaev, {T. N.} and Kudryashova, {E. V.} and Kuznetsova, {O. A.} and Danca, {M. F.}",
year = "2019",
month = jan,
day = "1",
doi = "10.1016/j.ifacol.2019.12.213",
language = "English",
volume = "52",
pages = "97--102",
journal = "IFAC-PapersOnLine",
issn = "2405-8963",
publisher = "Elsevier",
number = "18",
note = "15th IFAC Workshop on Time Delay Systems (TDS) jointly held with the 7th IFAC Symposium on System Structure and Control (SSSC) ; Conference date: 09-09-2019 Through 11-09-2019",

}

RIS

TY - JOUR

T1 - On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems

AU - Kuznetsov, N. V.

AU - Mokaev, T. N.

AU - Kudryashova, E. V.

AU - Kuznetsova, O. A.

AU - Danca, M. F.

PY - 2019/1/1

Y1 - 2019/1/1

N2 - 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.

AB - 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.

KW - chaos

KW - hidden

KW - Lyapunov dimension

KW - Lyapunov exponents

KW - self-excited attractors

KW - time-delay feedback control

KW - unstable periodic orbit

UR - http://www.scopus.com/inward/record.url?scp=85081307067&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2019.12.213

DO - 10.1016/j.ifacol.2019.12.213

M3 - Conference article

AN - SCOPUS:85081307067

VL - 52

SP - 97

EP - 102

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

SN - 2405-8963

IS - 18

T2 - 15th IFAC Workshop on Time Delay Systems (TDS) jointly held with the 7th IFAC Symposium on System Structure and Control (SSSC)

Y2 - 9 September 2019 through 11 September 2019

ER -

ID: 52608122