On the probability of positive finite-time Lyapunov exponents on strange nonchaotic attractors.

Autor: Remo, Flavia, Fuhrmann, Gabriel, Jäger, Tobias
Předmět:
Zdroj: Discrete & Continuous Dynamical Systems: Series A; Apr2024, Vol. 44 Issue 4, p1-14, 14p
Abstrakt: 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\to \infty $. 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. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index