文章基本信息

标题：On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems
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作者：N.V. Kuznetsov ; T.N. Mokaev ; E.V. Kudryashova 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：18
页码：97-102
DOI：10.1016/j.ifacol.2019.12.213
语种：English
出版社：Elsevier
摘要：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.
关键词：Keywordschaoshiddenself-excited attractorsLyapunov dimensionLyapunov exponentsunstable periodic orbittime-delay feedback control