Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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.
в: IFAC-PapersOnLine, Том 52, № 18, 01.01.2019, стр. 97-102.Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование
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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