In this paper, we analyze explosive synchronization in networks with a community structure. The results of our study indicate that the mesoscopic structure of the networks could affect the synchronization of coupled oscillators. With the variation of three parameters, the degree probability distribution exponent, the community size probability distribution exponent, and the mixing parameter, we could have a fast or slow phase transition. Besides, in some cases, we could have communities which are synchronized inside but not with other communities and vice versa. We also show that there is a limit in these mesoscopic structures which suppresses the transition from the second-order phase transition and results in explosive synchronization. This could be considered as a tuning parameter changing the transition of the system from the second order to the first order.
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March 2018
Research Article|
March 02 2018
The role of community structure on the nature of explosive synchronization
Nastaran Lotfi
;
Nastaran Lotfi
a)
1
University of Zanjan
, Zanjan, Iran
2
Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo
, São Carlos, SP, Brazil
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Francisco A. Rodrigues;
Francisco A. Rodrigues
3
Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo - Campus de São Carlos
, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil
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Amir Hossein Darooneh
Amir Hossein Darooneh
1
University of Zanjan
, Zanjan, Iran
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a)
Electronic mail: [email protected]
Chaos 28, 033102 (2018)
Article history
Received:
September 19 2017
Accepted:
February 13 2018
Citation
Nastaran Lotfi, Francisco A. Rodrigues, Amir Hossein Darooneh; The role of community structure on the nature of explosive synchronization. Chaos 1 March 2018; 28 (3): 033102. https://doi.org/10.1063/1.5005616
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