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Volumn 6, Issue , 2016, Pages

Synchronization of phase oscillators with frequency-weighted coupling

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EID: 84959076144     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep21926     Document Type: Article
Times cited : (30)

References (42)
  • 2
    • 0039592729 scopus 로고    scopus 로고
    • From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • Strogatz, S. H. From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators. Physica D 143, 1-20 (2000).
    • (2000) Physica D , vol.143 , pp. 1-20
    • Strogatz, S.H.1
  • 8
    • 28844500725 scopus 로고    scopus 로고
    • Thermodynamic limit of the first-order phase transition in the Kuramoto model
    • Pazó, D. Thermodynamic limit of the first-order phase transition in the Kuramoto model. Phys. Rev. E 72, 046211 (2005).
    • (2005) Phys. Rev. E , vol.72
    • Pazó, D.1
  • 10
    • 84860153563 scopus 로고    scopus 로고
    • Explosive first-order transition to synchrony in networked chaotic oscillators
    • Leyva, I. et al. Explosive first-order transition to synchrony in networked chaotic oscillators. Phys. Rev. Lett. 108, 168702 (2012).
    • (2012) Phys. Rev. Lett. , vol.108
    • Leyva, I.1
  • 11
    • 84876731865 scopus 로고    scopus 로고
    • Reexamination of explosive synchronization in scale-free networks: The effect of disassortativity
    • Li, P., Zhang, K., Xu, X., Zhang, J. & Small, M. Reexamination of explosive synchronization in scale-free networks: The effect of disassortativity. Phys. Rev. E 87, 042803 (2013).
    • (2013) Phys. Rev. E , vol.87
    • Li, P.1    Zhang, K.2    Xu, X.3    Zhang, J.4    Small, M.5
  • 12
    • 84863899794 scopus 로고    scopus 로고
    • Explosive synchronization enhanced by time-delayed coupling
    • Peron, T. K. D. M. & Rodrigues, F. A. Explosive synchronization enhanced by time-delayed coupling. Phys. Rev. E 86, 016102 (2012).
    • (2012) Phys. Rev. E , vol.86
    • Peron, T.K.D.M.1    Rodrigues, F.A.2
  • 14
    • 84874341051 scopus 로고    scopus 로고
    • Explosive transitions to synchronization in networks of phase oscillators
    • Leyva, I. et al. Explosive transitions to synchronization in networks of phase oscillators. Sci. Rep. 3, 1281 (2013).
    • (2013) Sci. Rep. , vol.3 , pp. 1281
    • Leyva, I.1
  • 15
    • 84870417595 scopus 로고    scopus 로고
    • Determination of the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations
    • Peron, T. K. D. M. & Rodrigues, F. A. Determination of the critical coupling of explosive synchronization transitions in scale-free networks by mean-field approximations. Phys. Rev. E 86, 056108 (2012).
    • (2012) Phys. Rev. E , vol.86
    • Peron, T.K.D.M.1    Rodrigues, F.A.2
  • 17
    • 84897907464 scopus 로고    scopus 로고
    • Basin of Attraction Determines Hysteresis in Explosive Synchronization
    • Zou, Y., Pereira, T., Small, M., Liu, Z. & Kurths, J. Basin of Attraction Determines Hysteresis in Explosive Synchronization. Phys. Rev. Lett. 112, 114102 (2014).
    • (2014) Phys. Rev. Lett. , vol.112
    • Zou, Y.1    Pereira, T.2    Small, M.3    Liu, Z.4    Kurths, J.5
  • 18
    • 84903650372 scopus 로고    scopus 로고
    • Disorder induces explosive synchronization
    • Skardal, P. S. & Arenas, A. Disorder induces explosive synchronization. Phys. Rev. E 89, 062811 (2014).
    • (2014) Phys. Rev. E , vol.89
    • Skardal, P.S.1    Arenas, A.2
  • 19
    • 84918569347 scopus 로고    scopus 로고
    • Explosive oscillation death in coupled Stuart-Landau oscillators
    • Bi, H. et al. Explosive oscillation death in coupled Stuart-Landau oscillators. Europhys. Lett. 108, 50003 (2014).
    • (2014) Europhys. Lett. , vol.108
    • Bi, H.1
  • 20
    • 84923238533 scopus 로고    scopus 로고
    • Self-organized correlations lead to explosive synchronization
    • Chen, Y., Cao, Z., Wang, S. & Hu, G. Self-organized correlations lead to explosive synchronization. Phys. Rev. E 92, 022810 (2015).
    • (2015) Phys. Rev. E , vol.92
    • Chen, Y.1    Cao, Z.2    Wang, S.3    Hu, G.4
  • 21
    • 84919476072 scopus 로고    scopus 로고
    • Analysis of cluster explosive synchronization in complex networks
    • Ji, P., Peron, T. K. D., Rodrigues, F. A. & Kurths, J. Analysis of cluster explosive synchronization in complex networks. Phys. Rev. E 90, 062810 (2014).
    • (2014) Phys. Rev. E , vol.90
    • Ji, P.1    Peron, T.K.D.2    Rodrigues, F.A.3    Kurths, J.4
  • 22
    • 84921464378 scopus 로고    scopus 로고
    • Explosive synchronization in adaptive and multilayer networks
    • Zhang, X., Boccaletti, S., Guan, S. & Liu, Z. Explosive synchronization in adaptive and multilayer networks. Phys. Rev. Lett. 114, 038701 (2015).
    • (2015) Phys. Rev. Lett. , vol.114
    • Zhang, X.1    Boccaletti, S.2    Guan, S.3    Liu, Z.4
  • 23
    • 84899832295 scopus 로고    scopus 로고
    • Low-dimensional behavior of Kuramoto model with inertia in complex networks
    • Ji, P., Peron, T. K., Rodrigues, F. A. & Kurths, J. Low-dimensional behavior of Kuramoto model with inertia in complex networks. Sci. Rep. 4, 4783 (2014).
    • (2014) Sci. Rep. , vol.4 , pp. 4783
    • Ji, P.1    Peron, T.K.2    Rodrigues, F.A.3    Kurths, J.4
  • 24
    • 84902176964 scopus 로고    scopus 로고
    • Explosive synchronization as a process of explosive percolation in dynamical phase space
    • Zhang, X., Zou, Y., Boccaletti, S. & Liu, Z. Explosive synchronization as a process of explosive percolation in dynamical phase space. Sci. Rep. 4, 5200 (2014).
    • (2014) Sci. Rep. , vol.4 , pp. 5200
    • Zhang, X.1    Zou, Y.2    Boccaletti, S.3    Liu, Z.4
  • 25
    • 84924405879 scopus 로고    scopus 로고
    • Explosive synchronization with partial degree-frequency correlation
    • Pinto, R. S. & Saa, A. Explosive synchronization with partial degree-frequency correlation. Phys. Rev. E 91, 022818 (2015).
    • (2015) Phys. Rev. E , vol.91
    • Pinto, R.S.1    Saa, A.2
  • 26
    • 84961291009 scopus 로고    scopus 로고
    • Critical behavior of the relaxation rate, the susceptibility, and a pair correlation function in the Kuramoto model on scale-free networks
    • Yoon, S., Sorbaro Sindaci, M., Goltsev, A. V. & Mendes, J. F. F. Critical behavior of the relaxation rate, the susceptibility, and a pair correlation function in the Kuramoto model on scale-free networks. Phys. Rev. E 91, 032814 (2015).
    • (2015) Phys. Rev. E , vol.91
    • Yoon, S.1    Sorbaro Sindaci, M.2    Goltsev, A.V.3    Mendes, J.F.F.4
  • 27
    • 84936972230 scopus 로고    scopus 로고
    • Explosive or Continuous: Incoherent state determines the route to synchronization
    • Xu, C., Gao, J., Sun, Y., Huang, X. & Zheng, Z. Explosive or Continuous: Incoherent state determines the route to synchronization. Sci. Rep. 5, 12039 (2015).
    • (2015) Sci. Rep. , vol.5
    • Xu, C.1    Gao, J.2    Sun, Y.3    Huang, X.4    Zheng, Z.5
  • 28
    • 84880606606 scopus 로고    scopus 로고
    • Explosive synchronization in a general complex network
    • R
    • Zhang, X., Hu, X., Kurths, J. & Liu, Z. Explosive synchronization in a general complex network. Phys. Rev. E 88, 010802(R) (2013).
    • (2013) Phys. Rev. E , vol.88
    • Zhang, X.1    Hu, X.2    Kurths, J.3    Liu, Z.4
  • 29
    • 84886058455 scopus 로고    scopus 로고
    • Explosive synchronization in weighted complex networks
    • Leyva, I. et al. Explosive synchronization in weighted complex networks. Phys. Rev. E 88, 042808 (2013).
    • (2013) Phys. Rev. E , vol.88
    • Leyva, I.1
  • 30
    • 84922674156 scopus 로고    scopus 로고
    • Exact solution for first-order synchronization transition in a generalized Kuramoto model
    • Hu, X. et al. Exact solution for first-order synchronization transition in a generalized Kuramoto model. Sci. Rep. 4, 7262 (2014).
    • (2014) Sci. Rep. , vol.4 , pp. 7262
    • Hu, X.1
  • 31
    • 79051469724 scopus 로고    scopus 로고
    • Synchronization and clustering of phase oscillators with heterogeneous coupling
    • Paissan, G. H. & Zanette, D. H. Synchronization and clustering of phase oscillators with heterogeneous coupling. Europhys. Lett. 77, 20001 (2007).
    • (2007) Europhys. Lett. , vol.77
    • Paissan, G.H.1    Zanette, D.H.2
  • 32
    • 41949083848 scopus 로고    scopus 로고
    • Synchronization of phase oscillators with heterogeneous coupling: A solvable case
    • Paissan, G. H. & Zanette, D. H. Synchronization of phase oscillators with heterogeneous coupling: A solvable case. Physica D 237, 818-828 (2008).
    • (2008) Physica D , vol.237 , pp. 818-828
    • Paissan, G.H.1    Zanette, D.H.2
  • 33
    • 84928104636 scopus 로고    scopus 로고
    • A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model
    • Chiba, H. A proof of the Kuramoto conjecture for a bifurcation structure of the infinite-dimensional Kuramoto model. Ergod. Th. & Dynam. Sys. 35, 762-834 (2015).
    • (2015) Ergod. Th. & Dynam. Sys , vol.35 , pp. 762-834
    • Chiba, H.1
  • 34
    • 21344481602 scopus 로고
    • Amplitude Expansions for Instabilities in Populations of Globally-Coupled Oscillators
    • Crawford, J. D. Amplitude Expansions for Instabilities in Populations of Globally-Coupled Oscillators. J. Stat. Phys. 74, 1047-1084 (1994).
    • (1994) J. Stat. Phys. , vol.74 , pp. 1047-1084
    • Crawford, J.D.1
  • 35
    • 48349110145 scopus 로고    scopus 로고
    • Kuramoto model with asymmetric distribution of natural frequencies
    • Basnarkov, L. & Urumov, V. Kuramoto model with asymmetric distribution of natural frequencies. Phys. Rev. E 78, 011113 (2008).
    • (2008) Phys. Rev. E , vol.78
    • Basnarkov, L.1    Urumov, V.2
  • 36
    • 84875519500 scopus 로고    scopus 로고
    • Mean-field and mean-ensemble frequencies of a system of coupled oscillators
    • Petkoski, S., Iatsenko, D., Basnarkov, L. & Stefanovska, A. Mean-field and mean-ensemble frequencies of a system of coupled oscillators. Phys. Rev. E 87, 032908 (2013).
    • (2013) Phys. Rev. E , vol.87
    • Petkoski, S.1    Iatsenko, D.2    Basnarkov, L.3    Stefanovska, A.4
  • 37
    • 1542499302 scopus 로고
    • Stability of incoherence in a population of coupled oscillators
    • Strogatz, S. H. & Mirollo, R. E. Stability of incoherence in a population of coupled oscillators. J. Stat. Phys. 63, 613-635 (1991).
    • (1991) J. Stat. Phys. , vol.63 , pp. 613-635
    • Strogatz, S.H.1    Mirollo, R.E.2
  • 38
    • 4243765520 scopus 로고
    • Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping
    • Strogatz, S. H., Mirollo, R. E. & Matthews, P. C. Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping. Phys. Rev. Lett. 8, 2730-2733 (1992).
    • (1992) Phys. Rev. Lett. , vol.8 , pp. 2730-2733
    • Strogatz, S.H.1    Mirollo, R.E.2    Matthews, P.C.3
  • 39
    • 84855292010 scopus 로고    scopus 로고
    • Center manifold reduction for large populations of globally coupled phase oscillators
    • Chiba, H. & Nishikawa, I. Center manifold reduction for large populations of globally coupled phase oscillators. Chaos 21, 043103 (2011).
    • (2011) Chaos , vol.21
    • Chiba, H.1    Nishikawa, I.2
  • 40
    • 11844299929 scopus 로고
    • Mutual entrainment between populations of coupled oscillators
    • Okuda, K. & Kuramoto, Y. Mutual entrainment between populations of coupled oscillators. Prog. Theor. Phys. 86, 1159-1176 (1991).
    • (1991) Prog. Theor. Phys. , vol.86 , pp. 1159-1176
    • Okuda, K.1    Kuramoto, Y.2
  • 41
    • 0001063041 scopus 로고
    • Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators
    • Bonilla, L. L., Neu, J. C. & Spigler, R. Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators. J. Stat. Phys. 67, 313-330 (1992).
    • (1992) J. Stat. Phys. , vol.67 , pp. 313-330
    • Bonilla, L.L.1    Neu, J.C.2    Spigler, R.3
  • 42
    • 22244479715 scopus 로고    scopus 로고
    • Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions
    • Bonilla, L. L., Pérez Vicente, C. J. & Spigler, R. Time-periodic phases in populations of nonlinearly coupled oscillators with bimodal frequency distributions. Physica D 113, 79-98 (1998).
    • (1998) Physica D , vol.113 , pp. 79-98
    • Bonilla, L.L.1    Pérez Vicente, C.J.2    Spigler, R.3


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