A note on finite-time Lyapunov dimension of the Rossler attractor

N. V. Kuznetsov; T. N. Mokaev

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arXiv · 1807.00235

A note on finite-time Lyapunov dimension of the Rossler attractor

N. V. Kuznetsov·T. N. Mokaev

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Abstract

For the R\"ossler system we verify Eden's conjecture on the maximum of local Lyapunov dimension. We compute numerically finite-time local Lyapunov dimensions on the R\"ossler attractor and embedded unstable periodic orbits. The UPO computation is done by Pyragas time-delay feedback control technique.

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N. V. Kuznetsov, T. N. Mokaev. 2018-06-30. A note on finite-time Lyapunov dimension of the Rossler attractor. https://arxiv.org/abs/1807.00235

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