Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866917247250857984 |
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| author | Goverse, Vincent P. H. Homburg, Ale Jan Lamb, Jeroen S. W. |
| author_facet | Goverse, Vincent P. H. Homburg, Ale Jan Lamb, Jeroen S. W. |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_08244 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms Goverse, Vincent P. H. Homburg, Ale Jan Lamb, Jeroen S. W. Dynamical Systems 37H15, 37H20 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). |
| title | Intermittent two-point dynamics at the transition to chaos for random circle endomorphisms |
| topic | Dynamical Systems 37H15, 37H20 |
| url | https://arxiv.org/abs/2503.08244 |