University of Groningen
Synchronization of coupled second-order Kuramoto oscillators
Gao, Jian
DOI:
10.33612/diss.155871911
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Publication date: 2021
Link to publication in University of Groningen/UMCG research database
Citation for published version (APA):
Gao, J. (2021). Synchronization of coupled second-order Kuramoto oscillators. University of Groningen. https://doi.org/10.33612/diss.155871911
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Propositions
Accompanying the PhD thesis
Synchronization of coupled second-order Kuramoto oscillators
Jian Gao1. The synchronization of coupled oscillators is an essential phenomenon in nature
and engineering. (Chapter 1)
2. The self-consistent method can be used to study the formation of synchronization
clusters in Kuramoto-like models. (Chapter 2)
3. Inertias of second-order oscillators result in hysteresis and abrupt transitions.
(Chapter 3)
4. Compared with Kuramoto oscillators, second-order oscillators have additional
synchronization clusters under the same conditions. (Chapter 4)
5. The formation of synchronization clusters follows a cascading pattern. (Chapter 5)
6. Oscillators with inertias and phase shifts stay in an oscillating state with the increase
of coupling strength. (Chapter 6)
7. Systems with the same self-consistent equations follow the same synchronization
transitions. (Chapter 7)
8. The topological effect on oscillators’ inertias may lead to cluster explosive
synchronization. (Chapter 8)
