Influence of stochastic perturbations on the cluster explosive synchronization of second-order Kuramoto oscillators on networks

Liang Cao; Changhai Tian; Zhenhua Wang; Xiyun Zhang; Zonghua Liu

doi:10.1103/physreve.97.022220

Influence of stochastic perturbations on the cluster explosive synchronization of second-order Kuramoto oscillators on networks

Physical Review E ◽

10.1103/physreve.97.022220 ◽

2018 ◽

Vol 97 (2) ◽

Cited By ~ 4

Author(s):

Liang Cao ◽

Changhai Tian ◽

Zhenhua Wang ◽

Xiyun Zhang ◽

Zonghua Liu

Keyword(s):

Second Order ◽

Stochastic Perturbations ◽

Kuramoto Oscillators ◽

Explosive Synchronization

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Global Frequency Synchronization over Networks of Uncertain Second-Order Kuramoto Oscillators via Distributed Adaptive Tracking

2019 IEEE 58th Conference on Decision and Control (CDC) ◽

10.1109/cdc40024.2019.9030006 ◽

2019 ◽

Author(s):

Alessandro Bosso ◽

Ilario A. Azzollini ◽

Simone Baldi

Keyword(s):

Second Order ◽

Frequency Synchronization ◽

Adaptive Tracking ◽

Kuramoto Oscillators

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Stability in a Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve

SIAM Journal on Applied Dynamical Systems ◽

10.1137/19m1269397 ◽

2020 ◽

Vol 19 (2) ◽

pp. 1124-1159

Author(s):

Xiaoxue Zhao ◽

Zhuchun Li ◽

Xiaoping Xue

Keyword(s):

Second Order ◽

Kuramoto Oscillators

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Exact explosive synchronization transitions in Kuramoto oscillators with time-delayed coupling

Scientific Reports ◽

10.1038/s41598-018-33845-6 ◽

2018 ◽

Vol 8 (1) ◽

Cited By ~ 6

Author(s):

Hui Wu ◽

Ling Kang ◽

Zonghua Liu ◽

Mukesh Dhamala

Keyword(s):

Delayed Coupling ◽

Kuramoto Oscillators ◽

Explosive Synchronization

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Synchronization of coupled second-order Kuramoto oscillators

10.33612/diss.155871911 ◽

2021 ◽

Author(s):

◽

Jian Gao

Keyword(s):

Second Order ◽

Kuramoto Oscillators

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On synchronization in power-grids modelled as networks of second-order Kuramoto oscillators

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/1.4967850 ◽

2016 ◽

Vol 26 (11) ◽

pp. 113113 ◽

Cited By ~ 21

Author(s):

J. M. V. Grzybowski ◽

E. E. N. Macau ◽

T. Yoneyama

Keyword(s):

Second Order ◽

Power Grids ◽

Kuramoto Oscillators

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Multiplexing induced explosive synchronization in Kuramoto oscillators with inertia

EPL (Europhysics Letters) ◽

10.1209/0295-5075/119/60005 ◽

2017 ◽

Vol 119 (6) ◽

pp. 60005 ◽

Cited By ~ 11

Author(s):

Ajay Deep Kachhvah ◽

Sarika Jalan

Keyword(s):

Kuramoto Oscillators ◽

Explosive Synchronization

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Exponential Cluster Phase Synchronization Conditions for Second-order Kuramoto Oscillators

IEEE Transactions on Circuits & Systems II Express Briefs ◽

10.1109/tcsii.2021.3101304 ◽

2021 ◽

pp. 1-1

Author(s):

Liang Wu ◽

Haoyong Chen ◽

Tasarruf Bashir

Keyword(s):

Phase Synchronization ◽

Second Order ◽

Kuramoto Oscillators ◽

Cluster Phase

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Hebbian Network of Kuramoto Oscillators with Second-Order Couplings for Binary Pattern Retrieve: II. Nonorthogonal Standard Patterns and Structural Stability

SIAM Journal on Applied Dynamical Systems ◽

10.1137/21m1393224 ◽

2022 ◽

Vol 21 (1) ◽

pp. 102-136

Author(s):

Zhuchun Li ◽

Xiaoxue Zhao ◽

Xiaoping Xue

Keyword(s):

Structural Stability ◽

Second Order ◽

Kuramoto Oscillators

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Explosive synchronization in interlayer phase-shifted Kuramoto oscillators on multiplex networks

Chaos An Interdisciplinary Journal of Nonlinear Science ◽

10.1063/5.0043775 ◽

2021 ◽

Vol 31 (4) ◽

pp. 041103

Author(s):

Anil Kumar ◽

Sarika Jalan

Keyword(s):

Multiplex Networks ◽

Kuramoto Oscillators ◽

Explosive Synchronization

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Onset of synchronization in networks of second-order Kuramoto oscillators with delayed coupling: Exact results and application to phase-locked loops

Physical Review Research ◽

10.1103/physrevresearch.2.023183 ◽

2020 ◽

Vol 2 (2) ◽

Author(s):

David Métivier ◽

Lucas Wetzel ◽

Shamik Gupta

Keyword(s):

Second Order ◽

Phase Locked Loops ◽

Exact Results ◽

Delayed Coupling ◽

Kuramoto Oscillators

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