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arXiv · 1910.08740

A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system

N. V. Kuznetsov·T. N. Mokaev·R. N. Mokaev·O. A. Kuznetsova·E. V. Kudryashova
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Abstract

In this short report, for the classical Lorenz attractor we demonstrate the applications of the Pyragas time-delayed feedback control technique and Leonov analytical method for the Lyapunov dimension estimation and verification of the Eden's conjecture. The problem of reliable numerical computation of the finite-time Lyapunov dimension along the trajectories over large time intervals is discussed.

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N. V. Kuznetsov, T. N. Mokaev, R. N. Mokaev, O. A. Kuznetsova, E. V. Kudryashova. 2019-10-19. A lower-bound estimate of the Lyapunov dimension for the global attractor of the Lorenz system. https://arxiv.org/abs/1910.08740

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