Journal
PHYSICAL REVIEW E
Volume 100, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.100.012209
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Funding
- South China Normal University [8S0340]
- Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme
- National Natural Science Foundation of China [11475253]
- International (Regional) Cooperation and Exchange Program of the National Natural Science Foundation of China (Research on Inter-organizational Cooperation, NSFC-DFG) [11861131011]
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A second-order continuous synchronization has been well documented for the classic Kuramoto model. Here we generalize the classic Kuramoto model by incorporating a low-pass filter (LPF) in the coupling, which serves as a simple form of indirect coupling through a common external dynamic environment. We uncover that a first-order explosive synchronization turns out to be a very generic phenomenon in this generalized Kuramoto model with LPF. We establish theoretical results by providing a rigorous analytical treatment, which is validated by conducting extensive numerical simulations. Our study provides a new root for the emergence of first-order explosive synchronization, which could substantially deepen the understanding of the underlying mechanism of a first-order phase transition towards synchronization in coupled dynamical networks.
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