Iterated function systems of logistic maps Synchronization and intermittency
| Authors |
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| Publication date | 09-07-2018 |
| Journal | Nonlinearity |
| Volume | Issue number | 31 | 8 |
| Pages (from-to) | 3880-3913 |
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| Abstract | We discuss iterated function systems generated by finitely many logistic maps, with a focus on synchronization and intermittency. We provide sufficient conditions for synchronization, involving negative Lyapunov exponents and minimal dynamics. A number of results that clarify the scope of these conditions are included. We analyze a mechanism for intermittency that involves the full map x → 4x(1 - x) as one of the generators of the iterated function system. For iterated function systems generated by x → 2x(1 - x) and x → 4x(1 - x) we prove the existence of a σ-finite stationary measure. |
| Document type | Article |
| Language | English |
| Published at |
https://doi.org/10.1088/1361-6544/aac637
(Final published version)
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