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Volumn 80, Issue 4, 2009, Pages

Existence of hysteresis in the Kuramoto model with bimodal frequency distributions

Author keywords

[No Author keywords available]

Indexed keywords

BIMODAL DISTRIBUTION; FREQUENCY DISTRIBUTIONS; HYSTERETIC PHASE TRANSITIONS; KURAMOTO MODELS; UNIMODAL;

EID: 70449399335     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.046215     Document Type: Article
Times cited : (90)

References (34)
  • 4
    • 0026164976 scopus 로고
    • 10.1007/BF00215074
    • J. Dye, J. Comp. Physiol., A 168, 521 (1991). 10.1007/BF00215074
    • (1991) J. Comp. Physiol., A , vol.168 , pp. 521
    • Dye, J.1
  • 5
    • 0024165008 scopus 로고
    • 10.1086/415929
    • J. Buck, Q. Rev. Biol. 63, 265 (1988). 10.1086/415929
    • (1988) Q. Rev. Biol. , vol.63 , pp. 265
    • Buck, J.1
  • 6
    • 0025979886 scopus 로고
    • 10.1016/S0006-3495(91)82271-8
    • A. Sherman and J. Rinzel, Biophys. J. 59, 547 (1991). 10.1016/S0006-3495(91)82271-8
    • (1991) Biophys. J. , vol.59 , pp. 547
    • Sherman, A.1    Rinzel, J.2
  • 9
    • 0039592729 scopus 로고    scopus 로고
    • 10.1016/S0167-2789(00)00094-4
    • S. H. Strogatz, Physica D 143, 1 (2000). 10.1016/S0167-2789(00)00094-4
    • (2000) Physica D , vol.143 , pp. 1
    • Strogatz, S.H.1
  • 11
    • 19944385353 scopus 로고    scopus 로고
    • 10.1103/RevModPhys.77.137
    • J. A. Acebrón, Rev. Mod. Phys. 77, 137 (2005). 10.1103/RevModPhys.77.137
    • (2005) Rev. Mod. Phys. , vol.77 , pp. 137
    • Acebrón, J.A.1
  • 12
    • 21344481602 scopus 로고
    • 10.1007/BF02188217
    • J. D. Crawford, J. Stat. Phys. 74, 1047 (1994). 10.1007/BF02188217
    • (1994) J. Stat. Phys. , vol.74 , pp. 1047
    • Crawford, J.D.1
  • 16
    • 0034294216 scopus 로고    scopus 로고
    • 10.1103/PhysRevE.62.4862
    • L. L. Bonilla, Phys. Rev. E 62, 4862 (2000). 10.1103/PhysRevE.62.4862
    • (2000) Phys. Rev. e , vol.62 , pp. 4862
    • Bonilla, L.L.1
  • 19
    • 70449341543 scopus 로고    scopus 로고
    • The choice g to be of Lorentzian (Cauchy) type is popular because the mathematics usually simplifies. Some works however investigate a population consisting of two groups of identical oscillators [g (ω) =δ (ω)] with model in the presence of noise.
    • The choice g to be of Lorentzian (Cauchy) type is popular because the mathematics usually simplifies. Some works however investigate a population consisting of two groups of identical oscillators [g (ω) =δ (ω)] with model in the presence of noise.
  • 20
    • 70449388930 scopus 로고    scopus 로고
    • Similar results have been obtained studying the interaction between populations with Lorentzian frequency distributions. In this context the bimodal distribution arises naturally as the superposition of the two unimodal distributions.
    • Similar results have been obtained studying the interaction between populations with Lorentzian frequency distributions. In this context the bimodal distribution arises naturally as the superposition of the two unimodal distributions.
  • 21
    • 70449386938 scopus 로고    scopus 로고
    • g″ (0) ∼ξ/ γ3 diverges as ξ≤γ→0 if ξ=O (γa) with a<3, e.g., ξ=γ (a=1).
    • g″ (0) ∼ξ/ γ3 diverges as ξ≤γ→0 if ξ=O (γa) with a<3, e.g., ξ=γ (a=1).
  • 23
    • 54749126999 scopus 로고    scopus 로고
    • 10.1063/1.2930766
    • E. Ott and T. M. Antonsen, Chaos 18, 037113 (2008). 10.1063/1.2930766
    • (2008) Chaos , vol.18 , pp. 037113
    • Ott, E.1    Antonsen, T.M.2
  • 24
    • 58149347754 scopus 로고    scopus 로고
    • 10.1063/1.3049136
    • L. M. Childs and S. H. Strogatz, Chaos 18, 043128 (2008). 10.1063/1.3049136
    • (2008) Chaos , vol.18 , pp. 043128
    • Childs, L.M.1    Strogatz, S.H.2
  • 25
    • 54749100429 scopus 로고    scopus 로고
    • 10.1063/1.2952447
    • T. M. Antonsen, Chaos 18, 037112 (2008). 10.1063/1.2952447
    • (2008) Chaos , vol.18 , pp. 037112
    • Antonsen, T.M.1
  • 27
    • 63849150175 scopus 로고    scopus 로고
    • 10.1063/1.3068353
    • C. R. Laing, Chaos 19, 013113 (2009). 10.1063/1.3068353
    • (2009) Chaos , vol.19 , pp. 013113
    • Laing, C.R.1
  • 29
    • 67651092270 scopus 로고    scopus 로고
    • 10.1063/1.3136851
    • E. Ott and T. M. Antonsen, Chaos 19, 023117 (2009). 10.1063/1.3136851
    • (2009) Chaos , vol.19 , pp. 023117
    • Ott, E.1    Antonsen, T.M.2
  • 30
    • 58149359407 scopus 로고    scopus 로고
    • 10.1103/PhysRevLett.101.264103
    • A. Pikovsky and M. Rosenblum, Phys. Rev. Lett. 101, 264103 (2008). 10.1103/PhysRevLett.101.264103
    • (2008) Phys. Rev. Lett. , vol.101 , pp. 264103
    • Pikovsky, A.1    Rosenblum, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.