| Authors |
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| Publication date |
09-07-2018
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| Journal |
Nonlinearity
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| Volume | Issue number |
31 | 8
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| Pages (from-to) |
3880-3913
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| Organisations |
-
Faculty of Science (FNWI) - Korteweg-de Vries Institute for Mathematics (KdVI)
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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.
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| Document type |
Article
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| Language |
English
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| Published at |
https://doi.org/10.1088/1361-6544/aac637
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| Other links |
https://www.scopus.com/pages/publications/85051380764
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