Exponentially Long Transient Time to Synchronization of Coupled Chaotic Circle Maps in Dense Random Networks
- We study the transition to synchronization in large, dense networks of chaotic circle maps, where an exact solution of the mean-field dynamics in the infinite network and all-to-all coupling limit is known. In dense networks of finite size and link probability of smaller than one, the incoherent state is meta-stable for coupling strengths that are larger than the mean-field critical coupling. We observe chaotic transients with exponentially distributed escape times and study the scaling behavior of the mean time to synchronization.
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| Author: | Hans Muller MendoncaORCiD, Ralf TönjesORCiD, Tiago PereiraORCiD |
|---|---|
| Title (English): | Exponentially Long Transient Time to Synchronization of Coupled Chaotic Circle Maps in Dense Random Networks |
| URN: | urn:nbn:de:bsz:959-opus-63690 |
| DOI: | https://doi.org/10.3390/e25070983 |
| ISSN: | 1099-4300 |
| Parent Title (English): | Entropy |
| Document Type: | Article |
| Language: | English |
| Year of Completion: | 2023 |
| Release Date: | 2024/07/01 |
| Tag: | Chaotic maps; Finite size effects; Mean-field analysis; Random networks; Synchronization |
| Volume: | 25 |
| Issue: | 7 |
| Article Number: | 983 |
| Page Number: | 11 |
| Faculties: | Fakultät IuI |
| DDC classes: | 500 Naturwissenschaften und Mathematik / 530 Physik |
| Review Status: | Veröffentlichte Fassung/Verlagsversion |
| Licence (German): |  Creative Commons - CC BY - Namensnennung 4.0 International |