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Volumn 6, Issue , 2016, Pages

Synchronization and Bellerophon states in conformist and contrarian oscillators

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EID: 84994506050     PISSN: None     EISSN: 20452322     Source Type: Journal    
DOI: 10.1038/srep36713     Document Type: Article
Times cited : (39)

References (42)
  • 3
    • 0001315407 scopus 로고
    • Norbert Wiener's brain waves
    • (Springer Berlin Heidelberg)
    • Strogatz, Steven H. Norbert Wiener's brain waves. in Frontiers in mathematical biology pp. 122-138 (Springer Berlin Heidelberg, 1994).
    • (1994) Frontiers in Mathematical Biology , pp. 122-138
    • Strogatz, S.H.1
  • 7
    • 1542499302 scopus 로고
    • Stability of incoherence in a population of coupled oscillators
    • Strogatz, S. H. & Mirrolo, R. E. 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    Mirrolo, R.E.2
  • 8
    • 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, 1-20 (2000).
    • (2000) Physica D , vol.143 , pp. 1-20
    • Strogatz, S.H.1
  • 11
    • 79952644099 scopus 로고    scopus 로고
    • Generative models of cortical oscillations: Neurobiological implications of the Kuramoto model
    • Breakspear, M., Stewart, H. & Daffertshofer, A. Generative models of cortical oscillations: neurobiological implications of the Kuramoto model. Frontiers in human neuroscience 4, 190(14) (2010).
    • (2010) Frontiers in Human Neuroscience , vol.4 , Issue.14 , pp. 190
    • Breakspear, M.1    Stewart, H.2    Daffertshofer, A.3
  • 12
    • 84943177590 scopus 로고    scopus 로고
    • Dynamics of globally coupled oscillators: Progress and perspectives
    • Pikovsky, A. & Rosenblum, M. Dynamics of globally coupled oscillators: Progress and perspectives. Chaos 25, 097616 (2015).
    • (2015) Chaos , vol.25 , pp. 097616
    • Pikovsky, A.1    Rosenblum, M.2
  • 14
    • 0037363001 scopus 로고    scopus 로고
    • Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity
    • Börgers, C. & Kopell, N. Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural Comput. 15, 509-538 (2003).
    • (2003) Neural Comput. , vol.15 , pp. 509-538
    • Börgers, C.1    Kopell, N.2
  • 15
    • 33846659726 scopus 로고    scopus 로고
    • Nonlinear dynamics of cardiac excitation-contraction coupling: An iterated map study
    • Qu, Z., Shiferaw, Y. & Weiss, J. N. Nonlinear dynamics of cardiac excitation-contraction coupling: An iterated map study. Phys. Rev. E 75, 011927 (2007).
    • (2007) Phys. Rev. E , vol.75 , pp. 011927
    • Qu, Z.1    Shiferaw, Y.2    Weiss, J.N.3
  • 16
    • 84885123187 scopus 로고    scopus 로고
    • Stable and flexible systems for glucose homeostasis
    • Hong, H., Jo, J. & Sin, S.-J. Stable and flexible systems for glucose homeostasis. Phys. Rev. E 88, 032711 (2013).
    • (2013) Phys. Rev. E , vol.88 , pp. 032711
    • Hong, H.1    Jo, J.2    Sin, S.-J.3
  • 17
    • 0001428120 scopus 로고
    • Population dynamics of randomly interacting self-oscillators, I - Tractable models without frustration
    • Daido, H. Population dynamics of randomly interacting self-oscillators, I - Tractable models without frustration. Prog. Th. Phys. 77(3), 622-634 (1987).
    • (1987) Prog. Th. Phys. , vol.77 , Issue.3 , pp. 622-634
    • Daido, H.1
  • 18
    • 0347129578 scopus 로고    scopus 로고
    • Contrarian deterministic effects on opinion dynamics: The hung elections scenario
    • Galam, S. Contrarian deterministic effects on opinion dynamics: the hung elections scenario. Physica A 333, 453 (2004).
    • (2004) Physica A , vol.333 , pp. 453
    • Galam, S.1
  • 19
    • 28744435303 scopus 로고    scopus 로고
    • Spontaneous emergence of contrarian-like behaviour in an opinion spreading model
    • Lama, M. S., López, J. M. & Wio, H. S. Spontaneous emergence of contrarian-like behaviour in an opinion spreading model. Europhys. Lett. 72, 851 (2005).
    • (2005) Europhys. Lett. , vol.72 , pp. 851
    • Lama, M.S.1    López, J.M.2    Wio, H.S.3
  • 20
    • 4444384303 scopus 로고
    • Solvable model of a spin-glass
    • Sharrington, D. & Kirkpatrick, S. Solvable model of a spin-glass. Phys. Rev. Lett. 35(26), 1792-1796 (1975).
    • (1975) Phys. Rev. Lett. , vol.35 , Issue.26 , pp. 1792-1796
    • Sharrington, D.1    Kirkpatrick, S.2
  • 22
    • 5244250305 scopus 로고
    • Quasientrainment and slow relaxation in a population of oscillators with random and frustrated interactions
    • Daido, H. Quasientrainment and slow relaxation in a population of oscillators with random and frustrated interactions. Phys. Rev. Lett. 68, 1073 (1992).
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 1073
    • Daido, H.1
  • 23
    • 34250080874 scopus 로고
    • Glassy Synchronization in a population of coupled oscillators
    • Bonilla, L. L., Pérez-Vicente, C. J. & Rubí, J. M. Glassy Synchronization in a population of coupled oscillators. Jour. Stat. Phys. 70(3/4), 921-937 (1993).
    • (1993) Jour. Stat. Phys. , vol.70 , Issue.3-4 , pp. 921-937
    • Bonilla, L.L.1    Pérez-Vicente, C.J.2    Rubí, J.M.3
  • 24
    • 0001661518 scopus 로고    scopus 로고
    • Dynamics of nonlinear oscillators with random interactions
    • Stiller, J. C. & Radons, G. Dynamics of nonlinear oscillators with random interactions. Phys. Rev. E 58(2), 1789-1799 (1998).
    • (1998) Phys. Rev. E , vol.58 , Issue.2 , pp. 1789-1799
    • Stiller, J.C.1    Radons, G.2
  • 25
    • 0000815996 scopus 로고    scopus 로고
    • Algebraic relaxation of an order parameter in randomly coupled limit-cycle oscillators
    • Daido, H. Algebraic relaxation of an order parameter in randomly coupled limit-cycle oscillators. Phys. Rev. E 61(2), 2145-2147 (2000).
    • (2000) Phys. Rev. E , vol.61 , Issue.2 , pp. 2145-2147
    • Daido, H.1
  • 26
    • 5244233685 scopus 로고    scopus 로고
    • Self-averaging of an order parameter in randomly coupled limit-cycle oscillators
    • Stiller, J. C. & Radons, G. Self-averaging of an order parameter in randomly coupled limit-cycle oscillators. Phys. Rev. E 61(2), 2148-2149 (2000).
    • (2000) Phys. Rev. E , vol.61 , Issue.2 , pp. 2148-2149
    • Stiller, J.C.1    Radons, G.2
  • 27
    • 0242329830 scopus 로고    scopus 로고
    • Partially and fully frustrated coupled oscillators with random pinning fields
    • Coolen, A. C. C. & Pérez-Vicente, C. Partially and fully frustrated coupled oscillators with random pinning fields. J. Phys. A.: Math. Gen. 36, 4477-4508 (2003).
    • (2003) J. Phys. A.: Math. Gen. , vol.36 , pp. 4477-4508
    • Coolen, A.C.C.1    Pérez-Vicente, C.2
  • 28
    • 27344455289 scopus 로고    scopus 로고
    • Synchronization and frustration in oscillator networks with attractive and repulsive interactions
    • Zanette, D. H. Synchronization and frustration in oscillator networks with attractive and repulsive interactions. Europhys. Lett. 72, 190 (2005).
    • (2005) Europhys. Lett. , vol.72 , pp. 190
    • Zanette, D.H.1
  • 29
    • 79551643808 scopus 로고    scopus 로고
    • Kuramoto model of coupled oscillators with positive and negative coupling parameters: An example of conformist and contrarian oscillators
    • Hong, H. & Strogatz, S. H. Kuramoto model of coupled oscillators with positive and negative coupling parameters: an example of conformist and contrarian oscillators. Phys. Rev. Lett. 106(5), 054102(4) (2011).
    • (2011) Phys. Rev. Lett. , vol.106 , Issue.5 , pp. 054102
    • Hong, H.1    Strogatz, S.H.2
  • 30
    • 80054852668 scopus 로고    scopus 로고
    • Conformists and contrarians in a Kuramoto model with identical natural frequencies
    • Hong, H. & Strogatz, S. H. Conformists and contrarians in a Kuramoto model with identical natural frequencies. Phys. Rev. E 84(4), 046202(6) (2011).
    • (2011) Phys. Rev. E , vol.84 , Issue.4 , pp. 046202
    • Hong, H.1    Strogatz, S.H.2
  • 31
    • 84873435151 scopus 로고    scopus 로고
    • Stationary and traveling wave states of the Kuramoto model with an arbitrary distribution of frequencies and coupling strengths
    • Iatsenko, D., Petkoski, S., McClintock, P. V. E. & Stefanovska, A. Stationary and traveling wave states of the Kuramoto model with an arbitrary distribution of frequencies and coupling strengths. Phys. Rev. Lett. 110, 064101 (2013).
    • (2013) Phys. Rev. Lett. , vol.110 , pp. 064101
    • Iatsenko, D.1    Petkoski, S.2    McClintock, P.V.E.3    Stefanovska, A.4
  • 32
    • 84880521625 scopus 로고    scopus 로고
    • Conformist and contrarians in a Kuramoto model with uniformly distributed natural frequencies
    • Yuan, D. & Yang, J. Conformist and contrarians in a Kuramoto model with uniformly distributed natural frequencies. Comm. Theor. Phys. 59(6), 684-688 (2013).
    • (2013) Comm. Theor. Phys. , vol.59 , Issue.6 , pp. 684-688
    • Yuan, D.1    Yang, J.2
  • 33
    • 84923317109 scopus 로고    scopus 로고
    • Bifurcation study of phase oscillator systems with attractive and repulsive interaction
    • Burylko, O., Kazanovich, Y. & Borisyuk, R. Bifurcation study of phase oscillator systems with attractive and repulsive interaction. Phys. Rev. E 90(2), 022911(18) (2014).
    • (2014) Phys. Rev. E , vol.90 , Issue.2 , pp. 022911
    • Burylko, O.1    Kazanovich, Y.2    Borisyuk, R.3
  • 34
    • 84903647731 scopus 로고    scopus 로고
    • Periodic synchronization and chimera in conformist and contrarian oscillators
    • Hong, H. Periodic synchronization and chimera in conformist and contrarian oscillators. Phys. Rev. E 89(6), 062924(6) (2014).
    • (2014) Phys. Rev. E , vol.89 , Issue.6 , pp. 062924
    • Hong, H.1
  • 35
    • 84897699345 scopus 로고    scopus 로고
    • Dynamics of the Kuramoto model in the presence of correlation between distributions of frequencies and coupling strengths
    • Yuan, D., Zhang, M. & Yang, J. Dynamics of the Kuramoto model in the presence of correlation between distributions of frequencies and coupling strengths. Phys. Rev. E 89, 012910 (2014).
    • (2014) Phys. Rev. E , vol.89 , pp. 012910
    • Yuan, D.1    Zhang, M.2    Yang, J.3
  • 36
    • 84994905086 scopus 로고    scopus 로고
    • Coexistence of quantized, time dependent, clusters in globally coupled oscillators
    • accepted
    • Bi, H., Hu, X., Boccaletti, S., Wang, X., Zou, Y., Liu, Z. & Guan, S. Coexistence of quantized, time dependent, clusters in globally coupled oscillators. Phys. Rev. Lett. accepted (2016).
    • (2016) Phys. Rev. Lett.
    • Bi, H.1    Hu, X.2    Boccaletti, S.3    Wang, X.4    Zou, Y.5    Liu, Z.6    Guan, S.7
  • 37
    • 19744381710 scopus 로고    scopus 로고
    • Chimera states for coupled oscillators
    • Abrams, D. M. & Strogatz, S. H. Chimera states for coupled oscillators. Phys. Rev. Lett. 93(17), 174102 (2004).
    • (2004) Phys. Rev. Lett. , vol.93 , Issue.17 , pp. 174102
    • Abrams, D.M.1    Strogatz, S.H.2
  • 38
    • 38849086596 scopus 로고    scopus 로고
    • Chimera states: The natural link between coherence and incoherence
    • Omel'chenko, E., Maistrenko, Y. L. & Tass, P. A. Chimera states: The natural link between coherence and incoherence. Phys. Rev. Lett. 100(4), 044105 (2008).
    • (2008) Phys. Rev. Lett. , vol.100 , Issue.4 , pp. 044105
    • Omel'Chenko, E.1    Maistrenko, Y.L.2    Tass, P.A.3
  • 39
    • 84923819252 scopus 로고    scopus 로고
    • Chimera states: Coexistence of coherence and incoherence in networks of coupled oscillators
    • Panaggio, M. J. & Abrams, D. M. Chimera states: coexistence of coherence and incoherence in networks of coupled oscillators. Nonlinearity 28(3), R67-R87 (2015).
    • (2015) Nonlinearity , vol.28 , Issue.3 , pp. R67-R87
    • Panaggio, M.J.1    Abrams, D.M.2
  • 40
    • 61449180129 scopus 로고    scopus 로고
    • Exact results for the Kuramoto model with a bimodal frequency distribution
    • Martens, E. A., Barreto, E., Strogatz, S. H., Ott, E., So, P. & Antonsen, T. M. Exact results for the Kuramoto model with a bimodal frequency distribution. Phys. Rev. E 79, 026204 (2009).
    • (2009) Phys. Rev. E , vol.79 , pp. 026204
    • Martens, E.A.1    Barreto, E.2    Strogatz, S.H.3    Ott, E.4    So, P.5    Antonsen, T.M.6
  • 41
    • 70449399335 scopus 로고    scopus 로고
    • Existence of hysteresis in the Kuramoto model with bimodal frequency distributions
    • Pazó, D. & Montbrió, E. Existence of hysteresis in the Kuramoto model with bimodal frequency distributions. Phys. Rev. E 80, 046215 (2009).
    • (2009) Phys. Rev. E , vol.80 , pp. 046215
    • Pazó, D.1    Montbrió, E.2
  • 42
    • 84863889251 scopus 로고    scopus 로고
    • Structure of long-term average frequencies for Kuramoto oscillator systems
    • Engelbrecht, J. R. & Mirollo, R. Structure of long-term average frequencies for Kuramoto oscillator systems. Phys. Rev. Lett. 109, 034103 (2012).
    • (2012) Phys. Rev. Lett. , vol.109 , pp. 034103
    • Engelbrecht, J.R.1    Mirollo, R.2


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