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arXiv · 2210.15292

On the probability of positive finite-time Lyapunov exponents on strange non-chaotic attractors

Flavia Remo·Gabriel Fuhrmann·Tobias Jäger
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Abstract

We study strange non-chaotic attractors in a class of quasiperiodically forced monotone interval maps known as pinched skew products. We prove that the probability of positive time-N Lyapunov exponents, with respect to the unique physical measure on the attractor, decays exponentially as N goes to infinity. The motivation for this work comes from the study of finite-time Lyapunov exponents as possible early-warning signals of critical transitions in the context of forced dynamics.

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Flavia Remo, Gabriel Fuhrmann, Tobias Jäger. 2022-10-27. On the probability of positive finite-time Lyapunov exponents on strange non-chaotic attractors. https://arxiv.org/abs/2210.15292

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