메뉴 건너뛰기




Volumn 17, Issue 4, 2007, Pages 309-347

The spectrum of the partially locked state for the Kuramoto model (Journal of Nonlinear Science DOI: 10.1007/s00332-006-0806-x);The spectrum of the partially locked state for the Kuramoto model

Author keywords

[No Author keywords available]

Indexed keywords

CONDENSED MATTER PHYSICS; PROBABILITY DENSITY FUNCTION; STATISTICAL MECHANICS; SYNCHRONIZATION;

EID: 84867963225     PISSN: 09388974     EISSN: 14321467     Source Type: Journal    
DOI: 10.1007/s00332-008-9017-y     Document Type: Erratum
Times cited : (143)

References (31)
  • 1
    • 19944385353 scopus 로고    scopus 로고
    • The Kuramoto model: A simple paradigm for synchronization phenomena
    • DOI 10.1103/RevModPhys.77.137
    • J. A. Acebron, L. L. Bonilla, C. J. Perez Vicente, F. Ritort, R. Spigler. The Kuramoto model: A simple paradigm for synchronization phenomena. Rev. Mod. Phys. 77, 137-185 (2005). (Pubitemid 41490657)
    • (2005) Reviews of Modern Physics , vol.77 , Issue.1 , pp. 137-185
    • Acebron, J.A.1    Bonilla, L.L.2    Vicente, C.J.P.3    Ritort, F.4    Spigler, R.5
  • 2
    • 14644434992 scopus 로고    scopus 로고
    • Existence of partial entrainment and stability of phase locking behavior of coupled oscillators
    • DOI 10.1143/PTP.112.921
    • D. Aeyels and J. A. Rogge. Existence of partial entrainment and stability of phase locking behavior of coupled oscillators. Prog. Theor. Phys. 112, 921-942 (2004). (Pubitemid 40366573)
    • (2004) Progress of Theoretical Physics , vol.112 , Issue.6 , pp. 921-942
    • Aeyels, D.1    Rogge, J.A.2
  • 3
    • 0040183943 scopus 로고    scopus 로고
    • A shocking display of synchrony
    • N. J. Balmforth and R. Sassi. A shocking display of synchrony. Physica D 143, 21-55 (2000).
    • (2000) Physica D , vol.143 , pp. 21-55
    • Balmforth, N.J.1    Sassi, R.2
  • 4
    • 0001063041 scopus 로고
    • Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators
    • L. L. Bonilla, J. C. Neu, and R. Spigler. 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
  • 6
    • 21344481602 scopus 로고
    • Amplitude expansions for instabilities in populations of globally coupled oscillators
    • J. D. Crawford. 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
  • 7
    • 0021876815 scopus 로고
    • Synchronization in a pool of mutually coupled oscillators with random frequencies
    • G. B. Ermentrout. Synchronization in a pool of mutually coupled oscillators with random frequencies. J. Math. Biol. 22, 1-9 (1985). (Pubitemid 15057330)
    • (1985) Journal of Mathematical Biology , vol.22 , Issue.1 , pp. 1-9
    • Ermentrout, G.B.1
  • 10
    • 0037205032 scopus 로고    scopus 로고
    • Emerging coherence in a population of chemical oscillators
    • DOI 10.1126/science.1070757
    • I. Z. Kiss, Y. Zhai, J. L. Hudson. Emerging coherence in a population of chemical oscillators. Science 296, 1676-1678 (2002). (Pubitemid 34579162)
    • (2002) Science , vol.296 , Issue.5573 , pp. 1676-1678
    • Kiss, I.Z.1    Zhai, Y.2    Hudson, J.L.3
  • 14
    • 19544377328 scopus 로고    scopus 로고
    • Mechanism of desynchronization in the finite-dimensional Kuramoto model
    • Y. Maistrenko, O. Popovych, O. Burylko, and P. A. Tass. Mechanism of desynchronization in the finite-dimensional Kuramoto model. Phys. Rev. Lett. 93, 084102 (2004).
    • (2004) Phys. Rev. Lett , vol.93 , pp. 084102
    • Maistrenko, Y.1    Popovych, O.2    Burylko, O.3    Tass, P.A.4
  • 15
    • 19944397131 scopus 로고    scopus 로고
    • The spectrum of the locked state for the Kuramoto model of coupled oscillators
    • DOI 10.1016/j.physd.2005.01.017, PII S0167278905000539
    • R. E. Mirollo and S. H. Strogatz. The spectrum of the locked state for the Kuramoto model of coupled oscillators. Physica D 205, 249-266 (2005). (Pubitemid 40753192)
    • (2005) Physica D: Nonlinear Phenomena , vol.205 , Issue.1-4 , pp. 249-266
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 17
    • 31644437318 scopus 로고    scopus 로고
    • Synchronization of metronomes
    • J. Pantaleone. Synchronization of metronomes. Amer. J. Phys. 70, 992-1000 (2002).
    • (2002) Amer. J. Phys , vol.70 , pp. 992-1000
    • Pantaleone, J.1
  • 18
    • 0343910095 scopus 로고    scopus 로고
    • Stability of incoherence in an isotropic gas of oscillating neutrinos
    • J. Pantaleone. Stability of incoherence in an isotropic gas of oscillating neutrinos. Phys. Rev. D 58, 073002 (1998).
    • (1998) Phys. Rev. D , vol.58 , pp. 073002
    • Pantaleone, J.1
  • 20
    • 0002192231 scopus 로고
    • Cooperative phenomena in coupled oscillator systems under external fields
    • H. Sakaguchi. Cooperative phenomena in coupled oscillator systems under external fields. Progr. Theor. Phys. 79, 39-46 (1988).
    • (1988) Progr. Theor. Phys , vol.79 , pp. 39-46
    • Sakaguchi, H.1
  • 21
    • 0000079112 scopus 로고
    • A soluble active rotator model showing phase transitions via mutual entrainment
    • H. Sakaguchi and Y. Kuramoto. A soluble active rotator model showing phase transitions via mutual entrainment. Progr. Theor. Phys. 76, 576-581 (1986).
    • (1986) Progr. Theor. Phys , vol.76 , pp. 576-581
    • Sakaguchi, H.1    Kuramoto, Y.2
  • 22
    • 0039592729 scopus 로고    scopus 로고
    • FromKuramoto to crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • S. H. Strogatz. FromKuramoto 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
  • 24
    • 1542499302 scopus 로고
    • Stability of incoherence in a population of coupled oscillators
    • S. H. Strogatz and R. E. Mirollo. 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
  • 25
    • 4243765520 scopus 로고
    • Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping
    • S. H. Strogatz, R. E. Mirollo, and P. C. Matthews. Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping. Phys. Rev. Lett. 68, 2730-2733 (1992).
    • (1992) Phys. Rev. Lett , vol.68 , pp. 2730-2733
    • Strogatz, S.H.1    Mirollo, R.E.2    Matthews, P.C.3
  • 26
    • 27744538042 scopus 로고    scopus 로고
    • Crowd synchrony on the Millennium Bridge
    • DOI 10.1038/43843a, PII 43843
    • S. H. Strogatz, D. M. Abrams, A. McRobie, B. Eckhardt, and E. Ott. Crowd synchrony on the Millennium Bridge. Nature 438, 43-44 (2005). (Pubitemid 41599813)
    • (2005) Nature , vol.438 , Issue.7064 , pp. 43-44
    • Strogatz, S.H.1    Abrams, D.M.2    McRobie, A.3    Eckhardt, B.4    Ott, E.5
  • 27
    • 21144473858 scopus 로고
    • Lyapunov function for theKuramoto model of nonlinearly coupled oscillators
    • J. L. van Hemmen andW. F. Wreszinski. Lyapunov function for theKuramoto model of nonlinearly coupled oscillators. J. Stat. Phys. 72, 145-166 (1993).
    • (1993) J. Stat. Phys , vol.72 , pp. 145-166
    • Van Hemmen, J.L.1    Wreszinski, W.F.2
  • 29
    • 0001006240 scopus 로고    scopus 로고
    • Synchronization transitions in a disordered Josephson series array
    • K.Wiesenfeld, P. Colet, and S. H. Strogatz. Synchronization transitions in a disordered Josephson series array. Phys. Rev. Lett. 76, 404-407 (1996). (Pubitemid 126601867)
    • (1996) Physical Review Letters , vol.76 , Issue.3 , pp. 404-407
    • Wiesenfeld, K.1    Colet, P.2    Strogatz, S.H.3
  • 30
    • 0014108715 scopus 로고
    • Biological rhythms and the behavior of populations of coupled oscillators
    • A. T.Winfree. Biological rhythms and the behavior of populations of coupled oscillators. J. Theor. Biol. 16, 15-42 (1967).
    • (1967) J. Theor. Biol , vol.16 , pp. 15-42
    • Winfree, A.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.