| Autor: |
Can Xu, Stefano Boccaletti, Zhigang Zheng, Shuguang Guan |
| Jazyk: |
angličtina |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
New Journal of Physics, Vol 21, Iss 11, p 113018 (2019) |
| Druh dokumentu: |
article |
| ISSN: |
1367-2630 |
| DOI: |
10.1088/1367-2630/ab4f59 |
| Popis: |
We reveal a class of universal phase transitions to synchronization in Kuramoto-like models with both in- and out-coupling heterogeneity. By analogy with metastable states, an oscillatory state occurs as a high-order coherent phase accompanying explosive synchronization in the system. The critical points of synchronization transition and the stationary solutions are obtained analytically, by the use of mean-field theory. In particular, the stable conditions for the emergence of phase-locked states are determined analytically, consistently with the analysis based on the Ott–Antonsen manifold. We demonstrate that the in- or out-coupling heterogeneity have influence on both the dynamical properties (eigen’spectrum) and the synchronizability of the system. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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