Publication

Synchronization in starlike networks of phase oscillators

Xu, C., Gao, J., Boccaletti, S., Zheng, Z. & Guan, S., 23-Jul-2019, In : Physical Review E. 100, 1, 8 p., 012212.

Research output: Contribution to journalArticleAcademicpeer-review

APA

Xu, C., Gao, J., Boccaletti, S., Zheng, Z., & Guan, S. (2019). Synchronization in starlike networks of phase oscillators. Physical Review E, 100(1), [012212]. https://doi.org/10.1103/PhysRevE.100.012212

Author

Xu, Can ; Gao, Jian ; Boccaletti, Stefano ; Zheng, Zhigang ; Guan, Shuguang. / Synchronization in starlike networks of phase oscillators. In: Physical Review E. 2019 ; Vol. 100, No. 1.

Harvard

Xu, C, Gao, J, Boccaletti, S, Zheng, Z & Guan, S 2019, 'Synchronization in starlike networks of phase oscillators', Physical Review E, vol. 100, no. 1, 012212. https://doi.org/10.1103/PhysRevE.100.012212

Standard

Synchronization in starlike networks of phase oscillators. / Xu, Can; Gao, Jian; Boccaletti, Stefano; Zheng, Zhigang; Guan, Shuguang.

In: Physical Review E, Vol. 100, No. 1, 012212, 23.07.2019.

Research output: Contribution to journalArticleAcademicpeer-review

Vancouver

Xu C, Gao J, Boccaletti S, Zheng Z, Guan S. Synchronization in starlike networks of phase oscillators. Physical Review E. 2019 Jul 23;100(1). 012212. https://doi.org/10.1103/PhysRevE.100.012212


BibTeX

@article{444b6d581de646f0b0cce62bf93b7de5,
title = "Synchronization in starlike networks of phase oscillators",
abstract = "We fully describe the mechanisms underlying synchronization in starlike networks of phase oscillators. In particular, the routes to synchronization and the critical points for the associated phase transitions are determined analytically. In contrast to the classical Kuramoto theory, we unveil that relaxation rates to each equilibrium state indeed exist and remain invariant under three levels of descriptions corresponding to different geometric implications. The special symmetry in the coupling determines a quasi-Hamiltonian property, which is further unveiled on the basis of singular perturbation theory. Since starlike coupling configurations constitute the building blocks of technological and biological real world networks, our paper paves the way towards the understanding of the functioning of such real world systems in many practical situations.",
author = "Can Xu and Jian Gao and Stefano Boccaletti and Zhigang Zheng and Shuguang Guan",
year = "2019",
month = jul,
day = "23",
doi = "10.1103/PhysRevE.100.012212",
language = "English",
volume = "100",
journal = "Physical Review E",
issn = "1539-3755",
publisher = "AMER PHYSICAL SOC",
number = "1",

}

RIS

TY - JOUR

T1 - Synchronization in starlike networks of phase oscillators

AU - Xu, Can

AU - Gao, Jian

AU - Boccaletti, Stefano

AU - Zheng, Zhigang

AU - Guan, Shuguang

PY - 2019/7/23

Y1 - 2019/7/23

N2 - We fully describe the mechanisms underlying synchronization in starlike networks of phase oscillators. In particular, the routes to synchronization and the critical points for the associated phase transitions are determined analytically. In contrast to the classical Kuramoto theory, we unveil that relaxation rates to each equilibrium state indeed exist and remain invariant under three levels of descriptions corresponding to different geometric implications. The special symmetry in the coupling determines a quasi-Hamiltonian property, which is further unveiled on the basis of singular perturbation theory. Since starlike coupling configurations constitute the building blocks of technological and biological real world networks, our paper paves the way towards the understanding of the functioning of such real world systems in many practical situations.

AB - We fully describe the mechanisms underlying synchronization in starlike networks of phase oscillators. In particular, the routes to synchronization and the critical points for the associated phase transitions are determined analytically. In contrast to the classical Kuramoto theory, we unveil that relaxation rates to each equilibrium state indeed exist and remain invariant under three levels of descriptions corresponding to different geometric implications. The special symmetry in the coupling determines a quasi-Hamiltonian property, which is further unveiled on the basis of singular perturbation theory. Since starlike coupling configurations constitute the building blocks of technological and biological real world networks, our paper paves the way towards the understanding of the functioning of such real world systems in many practical situations.

U2 - 10.1103/PhysRevE.100.012212

DO - 10.1103/PhysRevE.100.012212

M3 - Article

VL - 100

JO - Physical Review E

JF - Physical Review E

SN - 1539-3755

IS - 1

M1 - 012212

ER -

ID: 118431691