Synchronization Transition of the Second-Order Kuramoto Model on Lattices
Abstract
:1. Introduction
2. Models and Methods
2.1. The Second-Order Kuramoto Model
2.2. Linear Approximation for the Frequency Entrainment
3. Synchronization Transition in 2D
3.1. Frequency Entrainment Phase Transition
3.2. Phase-Order Parameter Transition
4. Synchronization Transition in 3D
4.1. Frequency Entrainment Phase Transition
4.2. Phase-Order Parameter Transition
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Data Availability Statement
Acknowledgments
Conflicts of Interest
Appendix A
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Ódor, G.; Deng, S. Synchronization Transition of the Second-Order Kuramoto Model on Lattices. Entropy 2023, 25, 164. https://doi.org/10.3390/e25010164
Ódor G, Deng S. Synchronization Transition of the Second-Order Kuramoto Model on Lattices. Entropy. 2023; 25(1):164. https://doi.org/10.3390/e25010164
Chicago/Turabian StyleÓdor, Géza, and Shengfeng Deng. 2023. "Synchronization Transition of the Second-Order Kuramoto Model on Lattices" Entropy 25, no. 1: 164. https://doi.org/10.3390/e25010164