On the probability of positive finite-time Lyapunov exponents on strange non-chaotic attractors
| Title: | On the probability of positive finite-time Lyapunov exponents on strange non-chaotic attractors |
|---|---|
| Authors: | Remo, Flavia, Fuhrmann, Gabriel, Jäger, Tobias |
| Publication Year: | 2022 |
| Collection: | Mathematics |
| Subject Terms: | Mathematics - Dynamical Systems, 37C60, 37G35 |
| More Details: | 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. |
| Document Type: | Working Paper |
| Access URL: | http://arxiv.org/abs/2210.15292 |
| Accession Number: | edsarx.2210.15292 |
| Database: | arXiv |
Be the first to leave a comment!