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arXiv · 2503.08244

Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms

Vincent P. H. Goverse·Ale Jan Homburg·Jeroen S. W. Lamb
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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).

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Vincent P. H. Goverse, Ale Jan Homburg, Jeroen S. W. Lamb. 2025-03-11. Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms. https://arxiv.org/abs/2503.08244

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