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Volumn 78, Issue 1, 2008, Pages

Relaxation of synchronization on complex networks

Author keywords

[No Author keywords available]

Indexed keywords

ARSENIC COMPOUNDS; COMPUTER SIMULATION; COMPUTER SYSTEM RECOVERY; DYNAMICS; OSCILLATORS (ELECTRONIC); PERTURBATION TECHNIQUES; RELAXATION PROCESSES; RELAXATION TIME; SYNCHRONIZATION;

EID: 47749119513     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.78.016106     Document Type: Article
Times cited : (17)

References (43)
  • 3
    • 0037205032 scopus 로고    scopus 로고
    • SCIEAS 0036-8075 10.1126/science.1070757
    • I. Z. Kiss, Y. M. Zhai, and J. L. Hudson, Science SCIEAS 0036-8075 10.1126/science.1070757 296, 1676 (2002)
    • (2002) Science , vol.296 , pp. 1676
    • Kiss, I.Z.1    Zhai, Y.M.2    Hudson, J.L.3
  • 4
    • 27744602428 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.94.248301
    • I. Z. Kiss, Y. M. Zhai, and J. L. Hudson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.248301 94, 248301 (2005).
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 248301
    • Kiss, I.Z.1    Zhai, Y.M.2    Hudson, J.L.3
  • 7
    • 0001551665 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01009349
    • Y. Kuramoto and I. Nishikawa, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01009349 49, 569 (1987).
    • (1987) J. Stat. Phys. , vol.49 , pp. 569
    • Kuramoto, Y.1    Nishikawa, I.2
  • 9
    • 0001428120 scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.77.622
    • H. Daido, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.77.622 77, 622 (1987)
    • (1987) Prog. Theor. Phys. , vol.77 , pp. 622
    • Daido, H.1
  • 10
    • 5244250305 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.68.1073
    • H. Daido, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.68.1073 68, 1073 (1992).
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 1073
    • Daido, H.1
  • 11
  • 12
  • 13
    • 0002192231 scopus 로고
    • PTPKAV 0033-068X 10.1143/PTP.79.39
    • H. Sakaguchi, Prog. Theor. Phys. PTPKAV 0033-068X 10.1143/PTP.79.39 79, 39 (1988)
    • (1988) Prog. Theor. Phys. , vol.79 , pp. 39
    • Sakaguchi, H.1
  • 14
  • 15
    • 0035826155 scopus 로고    scopus 로고
    • NATUAS 0028-0836 10.1038/35065725
    • S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/35065725 410, 268 (2001).
    • (2001) Nature (London) , vol.410 , pp. 268
    • Strogatz, S.H.1
  • 16
    • 4243241129 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109
    • L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.2109 80, 2109 (1998)
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2109
    • Pecora, L.M.1    Carroll, T.L.2
  • 17
    • 3343010976 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101
    • M. Barahona and L. M. Pecora, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.054101 89, 054101 (2002)
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 054101
    • Barahona, M.1    Pecora, L.M.2
  • 19
    • 42749099223 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.69.067105
    • H. Hong, B. J. Kim, M. Y. Choi, and H. Park, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.067105 69, 067105 (2004).
    • (2004) Phys. Rev. e , vol.69 , pp. 067105
    • Hong, H.1    Kim, B.J.2    Choi, M.Y.3    Park, H.4
  • 20
    • 47749104727 scopus 로고    scopus 로고
    • The fully synchronized state here means the state where all the phases of oscillators are same (1 = 2 == N), yielding the order parameter r=1. On the other hand, when the order parameter shows a nonzero value, but smaller than 1 (0
    • The fully synchronized state here means the state where all the phases of oscillators are same (1 = 2 == N), yielding the order parameter r=1. On the other hand, when the order parameter shows a nonzero value, but smaller than 1 (0
  • 21
    • 33646968991 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.65.026139
    • H. Hong, M. Y. Choi, and B. J. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.026139 65, 026139 (2002).
    • (2002) Phys. Rev. e , vol.65 , pp. 026139
    • Hong, H.1    Choi, M.Y.2    Kim, B.J.3
  • 22
    • 18144398038 scopus 로고    scopus 로고
    • EULEEJ 0295-5075 10.1209/epl/i2004-10238-x
    • Y. Moreno and A. F. Pacheco, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10238-x 68, 603 (2004).
    • (2004) Europhys. Lett. , vol.68 , pp. 603
    • Moreno, Y.1    Pacheco, A.F.2
  • 23
    • 42749105023 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.70.026116
    • T. Ichinomiya, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.026116 70, 026116 (2004).
    • (2004) Phys. Rev. e , vol.70 , pp. 026116
    • Ichinomiya, T.1
  • 24
    • 41349097039 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.71.036151
    • J. G. Restrepo, E. Ott, and B. R. Hunt, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036151 71, 036151 (2005).
    • (2005) Phys. Rev. e , vol.71 , pp. 036151
    • Restrepo, J.G.1    Ott, E.2    Hunt, B.R.3
  • 25
    • 27244457780 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.72.026208
    • D.-S. Lee, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.026208 72, 026208 (2005)
    • (2005) Phys. Rev. e , vol.72 , pp. 026208
    • Lee, D.-S.1
  • 26
    • 33846377176 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.75.011104
    • E. Oh, D.-S. Lee, B. Kahng, and D. Kim, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.011104 75, 011104 (2007).
    • (2007) Phys. Rev. e , vol.75 , pp. 011104
    • Oh, E.1    Lee, D.-S.2    Kahng, B.3    Kim, D.4
  • 28
    • 0000879271 scopus 로고    scopus 로고
    • PRBMDO 0163-1829 10.1103/PhysRevB.56.6007
    • B. J. Kim, M. Y. Choi, S. Ryu, and D. Stroud, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.56.6007 56, 6007 (1997).
    • (1997) Phys. Rev. B , vol.56 , pp. 6007
    • Kim, B.J.1    Choi, M.Y.2    Ryu, S.3    Stroud, D.4
  • 29
    • 0032482432 scopus 로고    scopus 로고
    • NATUAS 0028-0836 10.1038/30918
    • D. J. Watts and S. H. Strogatz, Nature (London) NATUAS 0028-0836 10.1038/30918 393, 440 (1998).
    • (1998) Nature (London) , vol.393 , pp. 440
    • Watts, D.J.1    Strogatz, S.H.2
  • 30
    • 0036013593 scopus 로고    scopus 로고
    • RMPHAT 0034-6861 10.1103/RevModPhys.74.47
    • R. Albert and A.-L. Barabási, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.74.47 74, 47 (2002)
    • (2002) Rev. Mod. Phys. , vol.74 , pp. 47
    • Albert, R.1    Barabási, A.-L.2
  • 31
    • 0036610173 scopus 로고    scopus 로고
    • ADPHAH 0001-8732 10.1080/00018730110112519
    • S. N. Dorogovtsev and J. F. F. Mendes, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730110112519 51, 1079 (2002)
    • (2002) Adv. Phys. , vol.51 , pp. 1079
    • Dorogovtsev, S.N.1    Mendes, J.F.F.2
  • 32
    • 0038718854 scopus 로고    scopus 로고
    • SIREAD 0036-1445 10.1137/S003614450342480
    • M. E. J. Newman, SIAM Rev. SIREAD 0036-1445 10.1137/S003614450342480 45, 167 (2003).
    • (2003) SIAM Rev. , vol.45 , pp. 167
    • Newman, M.E.J.1
  • 33
    • 0035981014 scopus 로고    scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.87.278701
    • K.-I. Goh, B. Kahng, and D. Kim, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.278701 87, 278701 (2001).
    • (2001) Phys. Rev. Lett. , vol.87 , pp. 278701
    • Goh, K.-I.1    Kahng, B.2    Kim, D.3
  • 34
    • 47749139090 scopus 로고    scopus 로고
    • The critical coupling strength for the Kuramoto model is known to be Kc =2/πg (0), which corresponds to Kc 1.6 for the case of unit variance.
    • The critical coupling strength for the Kuramoto model is known to be Kc =2/πg (0), which corresponds to Kc 1.6 for the case of unit variance.
  • 35
    • 1542499302 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF01029202
    • S. H. Strogatz and R. E. Mirollo, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01029202 63, 613 (1991).
    • (1991) J. Stat. Phys. , vol.63 , pp. 613
    • Strogatz, S.H.1    Mirollo, R.E.2
  • 36
    • 21344481602 scopus 로고
    • JSTPBS 0022-4715 10.1007/BF02188217
    • J. D. Crawford, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF02188217 74, 1047 (1994)
    • (1994) J. Stat. Phys. , vol.74 , pp. 1047
    • Crawford, J.D.1
  • 37
    • 0012588411 scopus 로고
    • PRLTAO 0031-9007 10.1103/PhysRevLett.74.4341
    • J. D. Crawford, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.74. 4341 74, 4341 (1995)
    • (1995) Phys. Rev. Lett. , vol.74 , pp. 4341
    • Crawford, J.D.1
  • 38
    • 0039592729 scopus 로고    scopus 로고
    • PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4
    • S. H. Strogatz, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(00)00094-4 143, 1 (2000).
    • (2000) Physica D , vol.143 , pp. 1
    • Strogatz, S.H.1
  • 39
    • 47749114746 scopus 로고    scopus 로고
    • The detailed critical behavior at the critical point Kc is planned to be published elsewhere.
    • The detailed critical behavior at the critical point Kc is planned to be published elsewhere.
  • 41
  • 42
    • 34547264989 scopus 로고    scopus 로고
    • PLEEE8 1063-651X 10.1103/PhysRevE.75.066106
    • J. Gomez-Gardenes, Y. Moreno, and A. Arenas, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.75.066106 75, 066106 (2007).
    • (2007) Phys. Rev. e , vol.75 , pp. 066106
    • Gomez-Gardenes, J.1    Moreno, Y.2    Arenas, A.3
  • 43
    • 34547294179 scopus 로고    scopus 로고
    • NJOPFM 1367-2630 10.1088/1367-2630/9/6/187
    • J. A. Almendral and A. Díaz-Guilera, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/9/6/187 9, 187 (2007).
    • (2007) New J. Phys. , vol.9 , pp. 187
    • Almendral, J.A.1    Díaz-Guilera, A.2


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