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Volumn 238, Issue 13, 2009, Pages 1068-1081

Stability of an [N / 2]-dimensional invariant torus in the Kuramoto model at small coupling

Author keywords

Kuramoto model; Quasiperiodicity; Renormalization group method

Indexed keywords

POPULATION STATISTICS; STATISTICAL MECHANICS;

EID: 67349214431     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2009.03.005     Document Type: Article
Times cited : (18)

References (22)
  • 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 (2000) 1-20
    • (2000) Physica D , vol.143 , pp. 1-20
    • Strogatz, S.H.1
  • 6
    • 29444442092 scopus 로고
    • Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators
    • Daido H. Intrinsic fluctuations and a phase transition in a class of large populations of interacting oscillators. J. Stat. Phys. 60 (1990) 753-800
    • (1990) J. Stat. Phys. , vol.60 , pp. 753-800
    • Daido, H.1
  • 7
    • 0040183943 scopus 로고    scopus 로고
    • A shocking display of synchrony
    • Balmforth N.J., and Sassi R. A shocking display of synchrony. Physica D 143 (2000) 21-55
    • (2000) Physica D , vol.143 , pp. 21-55
    • Balmforth, N.J.1    Sassi, R.2
  • 8
    • 35648939892 scopus 로고    scopus 로고
    • Entrainment transition in populations of random frequency oscillators
    • Hong H., Chaté H., Park H., and Tang L.-H. Entrainment transition in populations of random frequency oscillators. Phys. Rev. Lett. 99 18 (2007) 184101
    • (2007) Phys. Rev. Lett. , vol.99 , Issue.18 , pp. 184101
    • Hong, H.1    Chaté, H.2    Park, H.3    Tang, L.-H.4
  • 10
    • 34548836370 scopus 로고    scopus 로고
    • Correlations, fluctuations, and stability of a finite-size network of coupled oscillators
    • Buice M.A., and Chow C.C. Correlations, fluctuations, and stability of a finite-size network of coupled oscillators. Phys. Rev. E 76 3 (2007) 031118
    • (2007) Phys. Rev. E , vol.76 , Issue.3 , pp. 031118
    • Buice, M.A.1    Chow, C.C.2
  • 11
    • 19544377328 scopus 로고    scopus 로고
    • Mechanism of desynchronization in the finite-dimensional Kuramoto model
    • Maistrenko Y., Popovych O., Burylko O., and Tass P.A. Mechanism of desynchronization in the finite-dimensional Kuramoto model. Phys. Rev. Lett. 93 (2004) 084102
    • (2004) Phys. Rev. Lett. , vol.93 , pp. 084102
    • Maistrenko, Y.1    Popovych, O.2    Burylko, O.3    Tass, P.A.4
  • 12
  • 15
    • 0000991711 scopus 로고
    • Renormalization group theory for global asymptotic analysis
    • Chen L.Y., Goldenfeld N., and Oono Y. Renormalization group theory for global asymptotic analysis. Phys. Rev. Lett. 73 10 (1994) 1311-1315
    • (1994) Phys. Rev. Lett. , vol.73 , Issue.10 , pp. 1311-1315
    • Chen, L.Y.1    Goldenfeld, N.2    Oono, Y.3
  • 16
    • 5344281238 scopus 로고    scopus 로고
    • Renormalization group and singular perturbations: Multiple scales, boundary layers, and reductive perturbation theory
    • Chen L.-Y., Goldenfeld N., and Oono Y. Renormalization group and singular perturbations: Multiple scales, boundary layers, and reductive perturbation theory. Phys. Rev. E 54 1 (1996) 376-394
    • (1996) Phys. Rev. E , vol.54 , Issue.1 , pp. 376-394
    • Chen, L.-Y.1    Goldenfeld, N.2    Oono, Y.3
  • 17
    • 55349149607 scopus 로고    scopus 로고
    • 1 approximation of vector fields based on the renormalization group method
    • 1 approximation of vector fields based on the renormalization group method. SIAM J. Appl. Dyn. Syst. 7 (2008) 895-932
    • (2008) SIAM J. Appl. Dyn. Syst. , vol.7 , pp. 895-932
    • Chiba, H.1
  • 19
    • 0018989294 scopus 로고
    • Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems
    • Benettin G., Galgani L., Giorgilli A., and Strelcyn J.-M. Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems. Meccanica 15 (1980) 9
    • (1980) Meccanica , vol.15 , pp. 9
    • Benettin, G.1    Galgani, L.2    Giorgilli, A.3    Strelcyn, J.-M.4
  • 20
    • 0036722573 scopus 로고    scopus 로고
    • Reversibility vs. synchronization in oscillator lattices
    • Topaj D., and Pikovsky A. Reversibility vs. synchronization in oscillator lattices. Physica D 170 (2002) 118-130
    • (2002) Physica D , vol.170 , pp. 118-130
    • Topaj, D.1    Pikovsky, A.2
  • 21
    • 0037866577 scopus 로고    scopus 로고
    • Universal scaling of Lyapunov exponents in coupled chaotic oscillators
    • Liu Z., Lai Y.-C., and Matías M.A. Universal scaling of Lyapunov exponents in coupled chaotic oscillators. Phys. Rev. E 67 4 (2003) 045203
    • (2003) Phys. Rev. E , vol.67 , Issue.4 , pp. 045203
    • Liu, Z.1    Lai, Y.-C.2    Matías, M.A.3
  • 22
    • 34249767754 scopus 로고
    • Phase-locking for dynamical systems on the torus and perturbation theory for Mathieu-type problems
    • Galkin O.G. Phase-locking for dynamical systems on the torus and perturbation theory for Mathieu-type problems. J. Nonlinear Sci. 4 (1994) 127-156
    • (1994) J. Nonlinear Sci. , vol.4 , pp. 127-156
    • Galkin, O.G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.