Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms
Dynamical Systems
2026-02-05 v3
Abstract
We establish the existence of intermittent two-point dynamics and infinite stationary measures for a class of random circle endomorphisms with zero Lyapunov exponent, as a dynamical characterisation of the transition from synchronisation (negative Lyapunov exponent) to chaos (positive Lyapunov exponent).
Cite
@article{arxiv.2503.08244,
title = {Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms},
author = {Vincent P. H. Goverse and Ale Jan Homburg and Jeroen S. W. Lamb},
journal= {arXiv preprint arXiv:2503.08244},
year = {2026}
}
Comments
53 pages, 3 figures