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. (2019). On lower-bound estimates of the Lyapunov dimension and topological entropy for the Rossler systems. In D. Danciu (Ed.), 15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019 (52). IFAC; Elsevier. IFAC-PapersOnLine. https://doi.org/10.1016/j.ifacol.2019.12.213
© 2019 IFAC
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.
ConferenceIFAC Workshop on Time Delay Systems
Is part of publication15th IFAC Workshop on Time Delay Systems TDS 2019 Sinaia, Romania, 9–11 September 2019
ISSN Search the Publication Forum2405-8971
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Additional information about fundingThis work was supported by the Russian Science Foundation 19-41-02002.
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