On-off intermittency and chaotic walks
| Authors | |
|---|---|
| Publication date | 07-2020 |
| Journal | Ergodic theory and dynamical systems |
| Volume | Issue number | 40 | 7 |
| Pages (from-to) | 1805-1842 |
| Organisations |
|
| Abstract | We consider a class of skew product maps of interval diffeomorphisms over the doubling map. The interval maps fix the end points of the interval. It is assumed that the system has zero fiber Lyapunov exponent at one endpoint and zero or positive fiber Lyapunov exponent at the other endpoint. We prove the appearance of on-off intermittency. This is done using the equivalent description of chaotic walks: random walks driven by the doubling map. The analysis further relies on approximating the chaotic walks by Markov random walks, that are constructed using Markov partitions for the doubling map. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.1017/etds.2018.142 |
| Other links | https://www.scopus.com/pages/publications/85060893108 |
| Downloads |
On-off intermittency and chaotic walks
(Final published version)
|
| Permalink to this page | |
