Bibliographic Details
| 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 |
