메뉴 건너뛰기




Volumn 240, Issue 1, 2011, Pages 32-44

Complete synchronization of Kuramoto oscillators with finite inertia

Author keywords

Complete synchronization; Frequency; Inertia effects; Kuramoto model; Phase

Indexed keywords

PHYSICS;

EID: 78649328720     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2010.08.004     Document Type: Article
Times cited : (122)

References (27)
  • 1
    • 77955422536 scopus 로고    scopus 로고
    • On the complete synchronization for the Kuramoto model
    • S.-Y. Ha, T. Ha, and J.-H. Kim On the complete synchronization for the Kuramoto model Physica D 239 2010 1692 1700
    • (2010) Physica D , vol.239 , pp. 1692-1700
    • Ha, S.-Y.1    Ha, T.2    Kim, J.-H.3
  • 2
    • 19944385353 scopus 로고    scopus 로고
    • The Kuramoto model: A simple paradigm for synchronization phenomena
    • J.A. Acebrn, and L.L. Bonilla The Kuramoto model: a simple paradigm for synchronization phenomena Rev. Modern Phys. 77 2005 137 185
    • (2005) Rev. Modern Phys. , vol.77 , pp. 137-185
    • Acebrn, J.A.1    Bonilla, L.L.2
  • 3
    • 33746783940 scopus 로고
    • Biology of sychronous flashing of fireflies
    • J. Buck, and E. Buck Biology of sychronous flashing of fireflies Nature 211 1966 562
    • (1966) Nature , vol.211 , pp. 562
    • Buck, J.1    Buck, E.2
  • 7
    • 0015671993 scopus 로고
    • A study of locking phenomena in oscillators
    • R. Adler A study of locking phenomena in oscillators Proc. IEEE 61 1973 1380 1385
    • (1973) Proc. IEEE , vol.61 , pp. 1380-1385
    • Adler, R.1
  • 8
    • 0000856704 scopus 로고
    • International symposium on mathematical problems in mathematical physics
    • Y. Kuramoto International symposium on mathematical problems in mathematical physics Lecture Notes in Theoretical Physics 30 1975 420
    • (1975) Lecture Notes in Theoretical Physics , vol.30 , pp. 420
    • Kuramoto, Y.1
  • 9
    • 5944222448 scopus 로고
    • An adaptive model for synchrony in the firefly Pteroptyx malaccae
    • G.B. Ermentrout An adaptive model for synchrony in the firefly Pteroptyx malaccae J. Math. Biol. 29 1991 571 585
    • (1991) J. Math. Biol. , vol.29 , pp. 571-585
    • Ermentrout, G.B.1
  • 10
    • 0032516972 scopus 로고    scopus 로고
    • Adaptive freqency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators
    • J.A. Acebrn, and R. Spigler Adaptive freqency model for phase-frequency synchronization in large populations of globally coupled nonlinear oscillators Phys. Rev. Lett. 81 1998 2229 2332
    • (1998) Phys. Rev. Lett. , vol.81 , pp. 2229-2332
    • Acebrn, J.A.1    Spigler, R.2
  • 11
    • 0037720199 scopus 로고    scopus 로고
    • Synchronization of coupled rotators: Josephson junction ladders and the locally coupled Kuramoto model
    • B.C. Daniels, S.T. Dissanayake, and B.R. Trees Synchronization of coupled rotators: Josephson junction ladders and the locally coupled Kuramoto model Phys. Rev. E. 67 2003 026216
    • (2003) Phys. Rev. E. , vol.67 , pp. 026216
    • Daniels, B.C.1    Dissanayake, S.T.2    Trees, B.R.3
  • 12
    • 0001494065 scopus 로고    scopus 로고
    • Synchronization in networks of superconducting wires
    • K. Park, and M.Y. Choi Synchronization in networks of superconducting wires Phys. Rev. B 56 1997 387 394
    • (1997) Phys. Rev. B , vol.56 , pp. 387-394
    • Park, K.1    Choi, M.Y.2
  • 13
    • 0001247744 scopus 로고
    • Frequency locking in Josephson arrays: Connection with the Kuramoto model
    • K. Wiesenfeld, R. Colet, and S.H. Strogatz Frequency locking in Josephson arrays: connection with the Kuramoto model Phys. Rev. E 57 1988 1563 1569
    • (1988) Phys. Rev. e , vol.57 , pp. 1563-1569
    • Wiesenfeld, K.1    Colet, R.2    Strogatz, S.H.3
  • 14
    • 0001006240 scopus 로고    scopus 로고
    • Synchronization transitions in a disordered Josephson series array
    • K. Wiesenfeld, R. Colet, and S.H. Strogatz Synchronization transitions in a disordered Josephson series arrays Phys. Rev. Lett. 76 1996 404 407 (Pubitemid 126601867)
    • (1996) Physical Review Letters , vol.76 , Issue.3 , pp. 404-407
    • Wiesenfeld, K.1    Colet, P.2    Strogatz, S.H.3
  • 15
    • 0000984323 scopus 로고    scopus 로고
    • Stability of periodic solutions in series arrays of Josephson junctions with internal capacitance
    • S. Watanabe, and J.W. Swift Stability of periodic solutions in series arrays of Josephson junctions with internal capacitance J. Nonlinear Sci. 7 1997 503 536
    • (1997) J. Nonlinear Sci. , vol.7 , pp. 503-536
    • Watanabe, S.1    Swift, J.W.2
  • 16
    • 0000478424 scopus 로고
    • Constants of motion for superconducting Josephson arrays
    • S. Watanabe, and S.H. Strogatz Constants of motion for superconducting Josephson arrays Physica D 74 1994 197 253
    • (1994) Physica D , vol.74 , pp. 197-253
    • Watanabe, S.1    Strogatz, S.H.2
  • 17
    • 0001265176 scopus 로고
    • Averaged equations for Josephson junction series arrays
    • K. Wiesenfeld, and J.W. Swift Averaged equations for Josephson junction series arrays Phys. Rev. E 51 1995 1020 1025
    • (1995) Phys. Rev. e , vol.51 , pp. 1020-1025
    • Wiesenfeld, K.1    Swift, J.W.2
  • 18
    • 0034272217 scopus 로고    scopus 로고
    • Synchronization in populations of globally coupled oscillators with inertial effect
    • J.A. Acebrn, L.L. Bonilla, and R. Spigler Synchronization in populations of globally coupled oscillators with inertial effect Phys. Rev. E 62 2000 3437
    • (2000) Phys. Rev. e , vol.62 , pp. 3437
    • Acebrn, J.A.1    Bonilla, L.L.2    Spigler, R.3
  • 20
    • 41349108442 scopus 로고    scopus 로고
    • Spontaneous phase oscillation induced by inertia and time delay
    • H. Hong, G.S. Jeon, and M.Y. Choi Spontaneous phase oscillation induced by inertia and time delay Phys. Rev. E 65 2002 026208
    • (2002) Phys. Rev. e , vol.65 , pp. 026208
    • Hong, H.1    Jeon, G.S.2    Choi, M.Y.3
  • 21
    • 4243988567 scopus 로고    scopus 로고
    • First order phase tansition resulting from finite inertia in coupled oscillator systems
    • H.A. Tanaka, A.J. Lichtenberg, and S. Oishi First order phase tansition resulting from finite inertia in coupled oscillator systems Phys. Rev. Lett. 78 1997 2104
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 2104
    • Tanaka, H.A.1    Lichtenberg, A.J.2    Oishi, S.3
  • 22
    • 0001247610 scopus 로고    scopus 로고
    • Self-synchronization of coupled oscillators with hysteretic responses
    • H.A. Tanaka, A.J. Lichtenberg, and S. Oishi Self-synchronization of coupled oscillators with hysteretic responses Physica D 100 1997 279 300
    • (1997) Physica D , vol.100 , pp. 279-300
    • Tanaka, H.A.1    Lichtenberg, A.J.2    Oishi, S.3
  • 23
    • 0039592729 scopus 로고    scopus 로고
    • From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • S.H. Strogatz From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators Physica D 143 2001 1
    • (2001) Physica D , vol.143 , pp. 1
    • Strogatz, S.H.1
  • 24
    • 1542499302 scopus 로고
    • Stability of incoherence in a population of coupled oscillator
    • S.H. Strogatz, and R.E. Mirollo Stability of incoherence in a population of coupled oscillator J. Stat. Phys. 63 1991 613 635
    • (1991) J. Stat. Phys. , vol.63 , pp. 613-635
    • Strogatz, S.H.1    Mirollo, R.E.2
  • 25
    • 0000147723 scopus 로고
    • Splay states in globally coupled Josephson arrays: Analytical prediction of Floquet multipliers
    • S.H. Strogatz, and R.E. Mirollo Splay states in globally coupled Josephson arrays: analytical prediction of Floquet multipliers Phys. Rev. E 47 1993 220 227
    • (1993) Phys. Rev. e , vol.47 , pp. 220-227
    • Strogatz, S.H.1    Mirollo, R.E.2
  • 26
    • 0001185249 scopus 로고
    • Averaging of globally coupled oscillators
    • J.W. Swift, S.H. Strogatz, and K. Wiesenfeld Averaging of globally coupled oscillators Physica D 55 1992 239 250
    • (1992) Physica D , vol.55 , pp. 239-250
    • Swift, J.W.1    Strogatz, S.H.2    Wiesenfeld, K.3
  • 27
    • 19944397131 scopus 로고    scopus 로고
    • The spectrum of the locked state for the Kuramoto model of coupled oscillators
    • R.E. Mirollo, and S.H. Strogatz The spectrum of the locked state for the Kuramoto model of coupled oscillators Physica D 205 2005 249 266
    • (2005) Physica D , vol.205 , pp. 249-266
    • Mirollo, R.E.1    Strogatz, S.H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.