메뉴 건너뛰기




Volumn , Issue , 2012, Pages 7157-7170

Exploring synchronization in complex oscillator networks

Author keywords

[No Author keywords available]

Indexed keywords

OSCILLATORS (MECHANICAL);

EID: 84874282226     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2012.6425823     Document Type: Conference Paper
Times cited : (79)

References (139)
  • 2
    • 70349394805 scopus 로고    scopus 로고
    • SYNC: The emerging science of spontaneous order
    • S. H. Strogatz, SYNC: The Emerging Science of Spontaneous Order. Hyperion, 2003.
    • (2003) Hyperion
    • Strogatz, S.H.1
  • 5
    • 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," Journal of Theoretical Biology, vol. 16, no. 1, pp. 15-42, 1967.
    • (1967) Journal of Theoretical Biology , vol.16 , Issue.1 , pp. 15-42
    • Winfree, A.T.1
  • 6
    • 0000856704 scopus 로고
    • Self-entrainment of a population of coupled nonlinear oscillators
    • ser. Lecture Notes in Physics, H. Araki, Ed. Springer
    • Y. Kuramoto, "Self-entrainment of a population of coupled nonlinear oscillators," in Int. Symposium on Mathematical Problems in Theoretical Physics, ser. Lecture Notes in Physics, H. Araki, Ed. Springer, 1975, vol. 39, pp. 420-422.
    • (1975) Int. Symposium on Mathematical Problems in Theoretical Physics , vol.39 , pp. 420-422
    • Kuramoto, Y.1
  • 8
    • 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: Nonlinear Phenomena, vol. 143, no. 1, pp. 1-20, 2000.
    • (2000) Physica D: Nonlinear Phenomena , vol.143 , Issue.1 , pp. 1-20
    • Strogatz, S.H.1
  • 10
    • 0023204733 scopus 로고
    • Mechanisms of sinoatrial pacemaker synchronization: A new hypothesis
    • D. C. Michaels, E. P. Matyas, and J. Jalife, "Mechanisms of sinoatrial pacemaker synchronization: a new hypothesis," Circulation Research, vol. 61, no. 5, pp. 704-714, 1987.
    • (1987) Circulation Research , vol.61 , Issue.5 , pp. 704-714
    • Michaels, D.C.1    Matyas, E.P.2    Jalife, J.3
  • 11
    • 0031469709 scopus 로고    scopus 로고
    • Cellular construction of a circadian clock: Period determination in the suprachiasmatic nuclei
    • C. Liu, D. R. Weaver, S. H. Strogatz, and S. M. Reppert, "Cellular construction of a circadian clock: period determination in the suprachiasmatic nuclei," Cell, vol. 91, no. 6, pp. 855-860, 1997.
    • (1997) Cell , vol.91 , Issue.6 , pp. 855-860
    • Liu, C.1    Weaver, D.R.2    Strogatz, S.H.3    Reppert, S.M.4
  • 14
    • 0030949435 scopus 로고    scopus 로고
    • The role of axonal delay in the synchronization of networks of coupled cortical oscillators
    • S. M. Crook, G. B. Ermentrout, M. C. Vanier, and J. M. Bower, "The role of axonal delay in the synchronization of networks of coupled cortical oscillators," Journal of Computational Neuroscience, vol. 4, no. 2, pp. 161-172, 1997.
    • (1997) Journal of Computational Neuroscience , vol.4 , Issue.2 , pp. 161-172
    • Crook, S.M.1    Ermentrout, G.B.2    Vanier, M.C.3    Bower, J.M.4
  • 15
    • 0015084446 scopus 로고
    • Metabolic coupling and synchronization of NADH oscillations in yeast cell populations
    • A. K. Ghosh, B. Chance, and E. K. Pye, "Metabolic coupling and synchronization of NADH oscillations in yeast cell populations," Archives of Biochemistry and Biophysics, vol. 145, no. 1, pp. 319-331, 1971.
    • (1971) Archives of Biochemistry and Biophysics , vol.145 , Issue.1 , pp. 319-331
    • Ghosh, A.K.1    Chance, B.2    Pye, E.K.3
  • 16
    • 0024165008 scopus 로고
    • Synchronous rhythmic flashing of fireflies. II
    • J. Buck, "Synchronous rhythmic flashing of fireflies. II." Quarterly Review of Biology, vol. 63, no. 3, pp. 265-289, 1988.
    • (1988) Quarterly Review of Biology , vol.63 , Issue.3 , pp. 265-289
    • Buck, J.1
  • 17
    • 0000254372 scopus 로고
    • Acoustic synchrony: Two mechanisms in the snowy tree cricket
    • T. J. Walker, "Acoustic synchrony: two mechanisms in the snowy tree cricket," Science, vol. 166, no. 3907, pp. 891-894, 1969.
    • (1969) Science , vol.166 , Issue.3907 , pp. 891-894
    • Walker, T.J.1
  • 18
    • 40749096575 scopus 로고
    • Coupled oscillators and the design of central pattern generators
    • N. Kopell and G. B. Ermentrout, "Coupled oscillators and the design of central pattern generators," Mathematical Biosciences, vol. 90, no. 1-2, pp. 87-109, 1988.
    • (1988) Mathematical Biosciences , vol.90 , Issue.1-2 , pp. 87-109
    • Kopell, N.1    Ermentrout, G.B.2
  • 22
    • 5244250305 scopus 로고
    • Quasientrainment and slow relaxation in a population of oscillators with random and frustrated interactions
    • H. Daido, "Quasientrainment and slow relaxation in a population of oscillators with random and frustrated interactions," Physical Review Letters, vol. 68, no. 7, pp. 1073-1076, 1992.
    • (1992) Physical Review Letters , vol.68 , Issue.7 , pp. 1073-1076
    • Daido, H.1
  • 24
    • 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," Physical Review D, vol. 58, no. 7, p. 073002, 1998.
    • (1998) Physical Review D , vol.58 , Issue.7 , pp. 073002
    • Pantaleone, J.1
  • 25
    • 0001247744 scopus 로고    scopus 로고
    • Frequency locking in Josephson arrays: Connection with the Kuramoto model
    • K. Wiesenfeld, P. Colet, and S. H. Strogatz, "Frequency locking in Josephson arrays: Connection with the Kuramoto model," Physical Review E, vol. 57, no. 2, pp. 1563-1569, 1998.
    • (1998) Physical Review e , vol.57 , Issue.2 , pp. 1563-1569
    • Wiesenfeld, K.1    Colet, P.2    Strogatz, S.H.3
  • 26
    • 0037205032 scopus 로고    scopus 로고
    • Emerging coherence in a population of chemical oscillators
    • I. Z. Kiss, Y. Zhai, and J. L. Hudson, "Emerging coherence in a population of chemical oscillators," Science, vol. 296, no. 5573, p. 1676, 2002.
    • (2002) Science , vol.296 , Issue.5573 , pp. 1676
    • Kiss, I.Z.1    Zhai, Y.2    Hudson, J.L.3
  • 27
    • 0141923468 scopus 로고    scopus 로고
    • A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations
    • P. A. Tass, "A model of desynchronizing deep brain stimulation with a demand-controlled coordinated reset of neural subpopulations," Biological Cybernetics, vol. 89, no. 2, pp. 81-88, 2003.
    • (2003) Biological Cybernetics , vol.89 , Issue.2 , pp. 81-88
    • Tass, P.A.1
  • 28
    • 81855186895 scopus 로고    scopus 로고
    • Single input optimal control for globally coupled neuron networks
    • A. Nabi and J. Moehlis, "Single input optimal control for globally coupled neuron networks," Journal of Neural Engineering, vol. 8, p. 065008, 2011.
    • (2011) Journal of Neural Engineering , vol.8 , pp. 065008
    • Nabi, A.1    Moehlis, J.2
  • 29
    • 34249023580 scopus 로고    scopus 로고
    • Stabilization of planar collective motion: All-to-all communication
    • R. Sepulchre, D. A. Paley, and N. E. Leonard, "Stabilization of planar collective motion: All-to-all communication," IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 811-824, 2007.
    • (2007) IEEE Transactions on Automatic Control , vol.52 , Issue.5 , pp. 811-824
    • Sepulchre, R.1    Paley, D.A.2    Leonard, N.E.3
  • 32
    • 43349105423 scopus 로고    scopus 로고
    • Integration of communication and control using discrete time Kuramoto models for multivehicle coordination over broadcast networks
    • D. J. Klein, P. Lee, K. A. Morgansen, and T. Javidi, "Integration of communication and control using discrete time Kuramoto models for multivehicle coordination over broadcast networks," IEEE Journal on Selected Areas in Communications, vol. 26, no. 4, pp. 695-705, 2008.
    • (2008) IEEE Journal on Selected Areas in Communications , vol.26 , Issue.4 , pp. 695-705
    • Klein, D.J.1    Lee, P.2    Morgansen, K.A.3    Javidi, T.4
  • 33
    • 84866774499 scopus 로고    scopus 로고
    • Consensus based carrier synchronization in a two node network
    • Milan, Italy, Aug.
    • M. M. U. Rahman, R. Mudumbai, and S. Dasgupta, "Consensus based carrier synchronization in a two node network," in IFAC World Congress, Milan, Italy, Aug. 2011, pp. 10 038-10 043.
    • (2011) IFAC World Congress , pp. 10038-10043
    • Rahman, M.M.U.1    Mudumbai, R.2    Dasgupta, S.3
  • 34
    • 0034296966 scopus 로고    scopus 로고
    • Global coupling with time delay in an array of semiconductor lasers
    • G. Kozyreff, A. G. Vladimirov, and P. Mandel, "Global coupling with time delay in an array of semiconductor lasers," Physical Review Letters, vol. 85, no. 18, pp. 3809-3812, 2000.
    • (2000) Physical Review Letters , vol.85 , Issue.18 , pp. 3809-3812
    • Kozyreff, G.1    Vladimirov, A.G.2    Mandel, P.3
  • 35
    • 0034270031 scopus 로고    scopus 로고
    • Synchronization of laser oscillators, associative memory, and optical neurocomputing
    • F. C. Hoppensteadt and E. M. Izhikevich, "Synchronization of laser oscillators, associative memory, and optical neurocomputing," Physical Review E, vol. 62, no. 3, pp. 4010-4013, 2000.
    • (2000) Physical Review e , vol.62 , Issue.3 , pp. 4010-4013
    • Hoppensteadt, F.C.1    Izhikevich, E.M.2
  • 36
    • 0026170890 scopus 로고    scopus 로고
    • Quasi-optical power combining using mutually synchronized oscillator arrays
    • R. A. York and R. C. Compton, "Quasi-optical power combining using mutually synchronized oscillator arrays," IEEE Transactions on Microwave Theory and Techniques, vol. 39, no. 6, pp. 1000-1009, 2002.
    • (2002) IEEE Transactions on Microwave Theory and Techniques , vol.39 , Issue.6 , pp. 1000-1009
    • York, R.A.1    Compton, R.C.2
  • 39
    • 19544369515 scopus 로고    scopus 로고
    • A scalable synchronization protocol for large scale sensor networks and its applications
    • Y. W. Hong and A. Scaglione, "A scalable synchronization protocol for large scale sensor networks and its applications," IEEE Journal on Selected Areas in Communications, vol. 23, no. 5, pp. 1085-1099, 2005.
    • (2005) IEEE Journal on Selected Areas in Communications , vol.23 , Issue.5 , pp. 1085-1099
    • Hong, Y.W.1    Scaglione, A.2
  • 41
    • 84879975110 scopus 로고    scopus 로고
    • Increasing sync rate of pulsecoupled oscillators via phase response function design: Theory and application to wireless networks
    • to appear
    • Y. Wang, F. Núñez, and F. J. Doyle, "Increasing sync rate of pulsecoupled oscillators via phase response function design: theory and application to wireless networks," IEEE Transactions on Control Systems Technology, 2012, to appear.
    • (2012) IEEE Transactions on Control Systems Technology
    • Wang, Y.1    Núñez, F.2    Doyle, F.J.3
  • 42
  • 43
    • 34347370852 scopus 로고    scopus 로고
    • Decentralized maximum-likelihood estimation for sensor networks composed of nonlinearly coupled dynamical systems
    • S. Barbarossa and G. Scutari, "Decentralized maximum-likelihood estimation for sensor networks composed of nonlinearly coupled dynamical systems," IEEE Transactions on Signal Processing, vol. 55, no. 7, pp. 3456-3470, 2007.
    • (2007) IEEE Transactions on Signal Processing , vol.55 , Issue.7 , pp. 3456-3470
    • Barbarossa, S.1    Scutari, G.2
  • 47
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • S. H. Strogatz, "Exploring complex networks," Nature, vol. 410, no. 6825, pp. 268-276, 2001.
    • (2001) Nature , vol.410 , Issue.6825 , pp. 268-276
    • Strogatz, S.H.1
  • 48
    • 54749112709 scopus 로고    scopus 로고
    • Introduction to focus issue: Synchronization in complex networks
    • J. A. K. Suykens and G. V. Osipov, "Introduction to focus issue: Synchronization in complex networks," Chaos, vol. 18, no. 3, pp. 037 101-037 101, 2008.
    • (2008) Chaos , vol.18 , Issue.3 , pp. 037101-037101
    • Suykens, J.A.K.1    Osipov, G.V.2
  • 49
    • 64149119332 scopus 로고    scopus 로고
    • Consensus and cooperation in networked multi-agent systems
    • R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proceedings of the IEEE, vol. 95, no. 1, pp. 215-233, 2007.
    • (2007) Proceedings of the IEEE , vol.95 , Issue.1 , pp. 215-233
    • Olfati-Saber, R.1    Fax, J.A.2    Murray, R.M.3
  • 50
    • 34147163355 scopus 로고    scopus 로고
    • Information consensus in multivehicle cooperative control: Collective group behavior through local interaction
    • W. Ren, R. W. Beard, and E. M. Atkins, "Information consensus in multivehicle cooperative control: Collective group behavior through local interaction," IEEE Control Systems Magazine, vol. 27, no. 2, pp. 71-82, 2007.
    • (2007) IEEE Control Systems Magazine , vol.27 , Issue.2 , pp. 71-82
    • Ren, W.1    Beard, R.W.2    Atkins, E.M.3
  • 52
    • 12944293796 scopus 로고    scopus 로고
    • Stability of multiagent systems with time-dependent communication links
    • L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Transactions on Automatic Control, vol. 50, no. 2, pp. 169-182, 2005.
    • (2005) IEEE Transactions on Automatic Control , vol.50 , Issue.2 , pp. 169-182
    • Moreau, L.1
  • 53
    • 8744297187 scopus 로고    scopus 로고
    • On the stability of the Kuramoto model of coupled nonlinear oscillators
    • Boston, MA, USA, Jun.
    • A. Jadbabaie, N. Motee, and M. Barahona, "On the stability of the Kuramoto model of coupled nonlinear oscillators," in American Control Conference, Boston, MA, USA, Jun. 2004, pp. 4296-4301.
    • (2004) American Control Conference , pp. 4296-4301
    • Jadbabaie, A.1    Motee, N.2    Barahona, M.3
  • 54
    • 61349100317 scopus 로고    scopus 로고
    • On exponential synchronization of Kuramoto oscillators
    • N. Chopra and M. W. Spong, "On exponential synchronization of Kuramoto oscillators," IEEE Transactions on Automatic Control, vol. 54, no. 2, pp. 353-357, 2009.
    • (2009) IEEE Transactions on Automatic Control , vol.54 , Issue.2 , pp. 353-357
    • Chopra, N.1    Spong, M.W.2
  • 55
    • 39449107783 scopus 로고    scopus 로고
    • State agreement for continuous-time coupled nonlinear systems
    • Z. Lin, B. Francis, and M. Maggiore, "State agreement for continuous-time coupled nonlinear systems," SIAM Journal on Control and Optimization, vol. 46, no. 1, pp. 288-307, 2007.
    • (2007) SIAM Journal on Control and Optimization , vol.46 , Issue.1 , pp. 288-307
    • Lin, Z.1    Francis, B.2    Maggiore, M.3
  • 57
    • 33947263146 scopus 로고    scopus 로고
    • Synchronization and balancing on the N-torus
    • L. Scardovi, A. Sarlette, and R. Sepulchre, "Synchronization and balancing on the N-torus," Systems & Control Letters, vol. 56, no. 5, pp. 335-341, 2007.
    • (2007) Systems & Control Letters , vol.56 , Issue.5 , pp. 335-341
    • Scardovi, L.1    Sarlette, A.2    Sepulchre, R.3
  • 58
    • 39549090174 scopus 로고    scopus 로고
    • Swarms on sphere: A programmable swarm with synchronous behaviors like oscillator networks
    • San Diego, CA, USA
    • R. Olfati-Saber, "Swarms on sphere: A programmable swarm with synchronous behaviors like oscillator networks," in IEEE Conf. on Decision and Control, San Diego, CA, USA, 2006, pp. 5060-5066.
    • (2006) IEEE Conf. on Decision and Control , pp. 5060-5066
    • Olfati-Saber, R.1
  • 59
    • 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," Journal of Mathematical Biology, vol. 29, no. 6, pp. 571-585, 1991.
    • (1991) Journal of Mathematical Biology , vol.29 , Issue.6 , pp. 571-585
    • Ermentrout, G.B.1
  • 60
    • 78650109783 scopus 로고    scopus 로고
    • Emergent behaviour of a generalized Viscek-type flocking model
    • S. Y. Ha, E. Jeong, and M. J. Kang, "Emergent behaviour of a generalized Viscek-type flocking model," Nonlinearity, vol. 23, no. 12, pp. 3139-3156, 2010.
    • (2010) Nonlinearity , vol.23 , Issue.12 , pp. 3139-3156
    • Ha, S.Y.1    Jeong, E.2    Kang, M.J.3
  • 62
    • 0019397183 scopus 로고
    • A structure preserving model for power system stability analysis
    • A. R. Bergen and D. J. Hill, "A structure preserving model for power system stability analysis," IEEE Transactions on Power Apparatus and Systems, vol. 100, no. 1, pp. 25-35, 1981.
    • (1981) IEEE Transactions on Power Apparatus and Systems , vol.100 , Issue.1 , pp. 25-35
    • Bergen, A.R.1    Hill, D.J.2
  • 64
    • 0029403498 scopus 로고
    • Direct stability analysis of electric power systems using energy functions: Theory, applications, and perspective
    • H.-D. Chiang, C. C. Chu, and G. Cauley, "Direct stability analysis of electric power systems using energy functions: Theory, applications, and perspective," Proceedings of the IEEE, vol. 83, no. 11, pp. 1497-1529, 1995.
    • (1995) Proceedings of the IEEE , vol.83 , Issue.11 , pp. 1497-1529
    • Chiang, H.-D.1    Chu, C.C.2    Cauley, G.3
  • 65
    • 84865508476 scopus 로고    scopus 로고
    • Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators
    • F. Dörfler and F. Bullo, "Synchronization and transient stability in power networks and non-uniform Kuramoto oscillators," SIAM Journal on Control and Optimization, vol. 50, no. 3, pp. 1616-1642, 2012.
    • (2012) SIAM Journal on Control and Optimization , vol.50 , Issue.3 , pp. 1616-1642
    • Dörfler, F.1    Bullo, F.2
  • 66
  • 67
    • 27744538042 scopus 로고    scopus 로고
    • Theoretical mechanics: Crowd synchrony on the Millennium Bridge
    • S. H. Strogatz, D. M. Abrams, A. McRobie, B. Eckhardt, and E. Ott, "Theoretical mechanics: Crowd synchrony on the Millennium Bridge," Nature, vol. 438, no. 7064, pp. 43-44, 2005.
    • (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
  • 69
    • 78649328720 scopus 로고    scopus 로고
    • Complete synchronization of Kuramoto oscillators with finite inertia
    • Y.-P. Choi, S.-Y. Ha, and S.-B. Yun, "Complete synchronization of Kuramoto oscillators with finite inertia," Physica D, vol. 240, no. 1, pp. 32-44, 2011.
    • (2011) Physica D , vol.240 , Issue.1 , pp. 32-44
    • Choi, Y.-P.1    Ha, S.-Y.2    Yun, S.-B.3
  • 70
    • 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: Nonlinear Phenomena, vol. 100, no. 3-4, pp. 279-300, 1997.
    • (1997) Physica D: Nonlinear Phenomena , vol.100 , Issue.3-4 , pp. 279-300
    • Tanaka, H.A.1    Lichtenberg, A.J.2    Oishi, S.3
  • 71
    • 4243988567 scopus 로고    scopus 로고
    • First order phase transition resulting from finite inertia in coupled oscillator systems
    • - "First order phase transition resulting from finite inertia in coupled oscillator systems," Physical Review Letters, vol. 78, no. 11, pp. 2104-2107, 1997.
    • (1997) Physical Review Letters , vol.78 , Issue.11 , pp. 2104-2107
    • Tanaka, H.A.1    Lichtenberg, A.J.2    Oishi, S.3
  • 72
    • 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," Physical Review E, vol. 65, no. 2, p. 026208, 2002.
    • (2002) Physical Review e , vol.65 , Issue.2 , pp. 026208
    • Hong, H.1    Jeon, G.S.2    Choi, M.Y.3
  • 73
    • 0000969714 scopus 로고    scopus 로고
    • Inertia effects on periodic synchronization in a system of coupled oscillators
    • H. Hong, M. Y. Choi, J. Yi, and K. S. Soh, "Inertia effects on periodic synchronization in a system of coupled oscillators," Physical Review E, vol. 59, no. 1, p. 353, 1999.
    • (1999) Physical Review e , vol.59 , Issue.1 , pp. 353
    • Hong, H.1    Choi, M.Y.2    Yi, J.3    Soh, K.S.4
  • 74
    • 0034272217 scopus 로고    scopus 로고
    • Synchronization in populations of globally coupled oscillators with inertial effects
    • J. A. Acebrón, L. L. Bonilla, and R. Spigler, " Synchronization in populations of globally coupled oscillators with inertial effects," Physical Review E, vol. 62, no. 3, pp. 3437-3454, 2000.
    • (2000) Physical Review e , vol.62 , Issue.3 , pp. 3437-3454
    • Acebrón, J.A.1    Bonilla, L.L.2    Spigler, R.3
  • 75
    • 80055017077 scopus 로고    scopus 로고
    • On the critical coupling for Kuramoto oscillators
    • F. Dörfler and F. Bullo, "On the critical coupling for Kuramoto oscillators," SIAM Journal on Applied Dynamical Systems, vol. 10, no. 3, pp. 1070-1099, 2011.
    • (2011) SIAM Journal on Applied Dynamical Systems , vol.10 , Issue.3 , pp. 1070-1099
    • Dörfler, F.1    Bullo, F.2
  • 76
    • 34548504606 scopus 로고    scopus 로고
    • Partial entrainment in the finite Kuramoto-Sakaguchi model
    • F. De Smet and D. Aeyels, "Partial entrainment in the finite Kuramoto-Sakaguchi model," Physica D: Nonlinear Phenomena, vol. 234, no. 2, pp. 81-89, 2007.
    • (2007) Physica D: Nonlinear Phenomena , vol.234 , Issue.2 , pp. 81-89
    • De Smet, F.1    Aeyels, D.2
  • 77
    • 84867963225 scopus 로고    scopus 로고
    • The spectrum of the partially locked state for the Kuramoto model
    • R. Mirollo and S. H. Strogatz, "The spectrum of the partially locked state for the Kuramoto model," Journal of Nonlinear Science, vol. 17, no. 4, pp. 309-347, 2007.
    • (2007) Journal of Nonlinear Science , vol.17 , Issue.4 , pp. 309-347
    • Mirollo, R.1    Strogatz, S.H.2
  • 78
    • 32144443549 scopus 로고    scopus 로고
    • Desynchronization and chaos in the Kuramoto model
    • ser. Lecture Notes in Physics, J.-R. Chazottes and B. Fernandez, Eds. Springer
    • Y. L. Maistrenko, O. V. Popovych, and P. A. Tass, "Desynchronization and chaos in the Kuramoto model," in Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems, ser. Lecture Notes in Physics, J.-R. Chazottes and B. Fernandez, Eds. Springer, 2005, vol. 671, pp. 285-306.
    • (2005) Dynamics of Coupled Map Lattices and of Related Spatially Extended Systems , vol.671 , pp. 285-306
    • Maistrenko, Y.L.1    Popovych, O.V.2    Tass, P.A.3
  • 80
  • 82
    • 74049093733 scopus 로고    scopus 로고
    • Almost global synchronization of symmetric Kuramoto coupled oscillators
    • InTech Education and Publishing, ch. 8
    • E. Canale and P. Monzón, "Almost global synchronization of symmetric Kuramoto coupled oscillators," in Systems Structure and Control. InTech Education and Publishing, 2008, ch. 8, pp. 167-190.
    • (2008) Systems Structure and Control , pp. 167-190
    • Canale, E.1    Monzón, P.2
  • 83
    • 63049123616 scopus 로고    scopus 로고
    • On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph
    • M. Verwoerd and O. Mason, "On computing the critical coupling coefficient for the Kuramoto model on a complete bipartite graph," SIAM Journal on Applied Dynamical Systems, vol. 8, no. 1, pp. 417-453, 2009.
    • (2009) SIAM Journal on Applied Dynamical Systems , vol.8 , Issue.1 , pp. 417-453
    • Verwoerd, M.1    Mason, O.2
  • 84
    • 77955422536 scopus 로고    scopus 로고
    • On the complete synchronization of the Kuramoto phase model
    • S.-Y. Ha, T. Ha, and J.-H. Kim, "On the complete synchronization of the Kuramoto phase model," Physica D: Nonlinear Phenomena, vol. 239, no. 17, pp. 1692-1700, 2010.
    • (2010) Physica D: Nonlinear Phenomena , vol.239 , Issue.17 , pp. 1692-1700
    • Ha, S.-Y.1    Ha, T.2    Kim, J.-H.3
  • 85
    • 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: Nonlinear Phenomena, vol. 205, no. 1-4, pp. 249-266, 2005.
    • (2005) Physica D: Nonlinear Phenomena , vol.205 , Issue.1-4 , pp. 249-266
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 86
    • 14644434992 scopus 로고    scopus 로고
    • Existence of partial entrainment and stability of phase locking behavior of coupled oscillators
    • D. Aeyels and J. A. Rogge, "Existence of partial entrainment and stability of phase locking behavior of coupled oscillators," Progress on Theoretical Physics, vol. 112, no. 6, pp. 921-942, 2004.
    • (2004) Progress on Theoretical Physics , vol.112 , Issue.6 , pp. 921-942
    • Aeyels, D.1    Rogge, J.A.2
  • 87
    • 57249105599 scopus 로고    scopus 로고
    • Global phase-locking in finite populations of phase-coupled oscillators
    • M. Verwoerd and O. Mason, "Global phase-locking in finite populations of phase-coupled oscillators," SIAM Journal on Applied Dynamical Systems, vol. 7, no. 1, pp. 134-160, 2008.
    • (2008) SIAM Journal on Applied Dynamical Systems , vol.7 , Issue.1 , pp. 134-160
    • Verwoerd, M.1    Mason, O.2
  • 88
    • 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," Journal of Mathematical Biology, vol. 22, no. 1, pp. 1-9, 1985.
    • (1985) Journal of Mathematical Biology , vol.22 , Issue.1 , pp. 1-9
    • Ermentrout, G.B.1
  • 89
    • 80055010842 scopus 로고    scopus 로고
    • A convergence result for the Kuramoto model with all-to-all coupling
    • M. Verwoerd and O. Mason, "A convergence result for the Kuramoto model with all-to-all coupling," SIAM Journal on Applied Dynamical Systems, vol. 10, no. 3, pp. 906-920, 2011.
    • (2011) SIAM Journal on Applied Dynamical Systems , vol.10 , Issue.3 , pp. 906-920
    • Verwoerd, M.1    Mason, O.2
  • 91
    • 9944234406 scopus 로고    scopus 로고
    • Stability of phase locking in a ring of unidirectionally coupled oscillators
    • J. A. Rogge and D. Aeyels, "Stability of phase locking in a ring of unidirectionally coupled oscillators," Journal of Physics A, vol. 37, pp. 11 135-11 148, 2004.
    • (2004) Journal of Physics A , vol.37 , pp. 11135-11148
    • Rogge, J.A.1    Aeyels, D.2
  • 92
    • 84874240973 scopus 로고    scopus 로고
    • Transitions amongst synchronous solutions for the stochastic Kuramoto model
    • L. DeVille, "Transitions amongst synchronous solutions for the stochastic Kuramoto model," Nonlinearity, vol. 25, no. 5, pp. 1-20, 2011.
    • (2011) Nonlinearity , vol.25 , Issue.5 , pp. 1-20
    • Deville, L.1
  • 93
    • 67651180818 scopus 로고    scopus 로고
    • Consensus reaching in multi-agent packet-switched networks with non-linear coupling
    • U. Münz, A. Papachristodoulou, and F. Allgöwer, "Consensus reaching in multi-agent packet-switched networks with non-linear coupling," International Journal of Control, vol. 82, no. 5, pp. 953-969, 2009.
    • (2009) International Journal of Control , vol.82 , Issue.5 , pp. 953-969
    • Münz, U.1    Papachristodoulou, A.2    Allgöwer, F.3
  • 94
    • 79953130931 scopus 로고    scopus 로고
    • Clustering and synchronization in phase models with state dependent coupling
    • Atlanta, GA, USA, Dec.
    • L. Scardovi, "Clustering and synchronization in phase models with state dependent coupling," in IEEE Conf. on Decision and Control, Atlanta, GA, USA, Dec. 2010, pp. 627-632.
    • (2010) IEEE Conf. on Decision and Control , pp. 627-632
    • Scardovi, L.1
  • 95
    • 79956197061 scopus 로고    scopus 로고
    • Existence and robustness of phase-locking in coupled Kuramoto oscillators under mean-field feedback
    • A. Franci, A. Chaillet, and W. Pasillas-Lépine, "Existence and robustness of phase-locking in coupled Kuramoto oscillators under mean-field feedback," Automatica, vol. 47, no. 6, pp. 1193-1202, 2011.
    • (2011) Automatica , vol.47 , Issue.6 , pp. 1193-1202
    • Franci, A.1    Chaillet, A.2    Pasillas-Lépine, W.3
  • 96
    • 80051937626 scopus 로고    scopus 로고
    • A fast-slow dynamical systems theory for the Kuramoto type phase model
    • S. Y. Ha and M. Slemrod, "A fast-slow dynamical systems theory for the Kuramoto type phase model," Journal of Differential Equations, vol. 251, no. 10, pp. 2685-2695, 2011.
    • (2011) Journal of Differential Equations , vol.251 , Issue.10 , pp. 2685-2695
    • Ha, S.Y.1    Slemrod, M.2
  • 97
    • 75449120473 scopus 로고    scopus 로고
    • Synchronization in symmetric bipolar population networks
    • L. Buzna, S. Lozano, and A. Diaz-Guilera, "Synchronization in symmetric bipolar population networks," Physical Review E, vol. 80, no. 6, p. 66120, 2009.
    • (2009) Physical Review e , vol.80 , Issue.6 , pp. 66120
    • Buzna, L.1    Lozano, S.2    Diaz-Guilera, A.3
  • 98
    • 18144398038 scopus 로고    scopus 로고
    • Synchronization of Kuramoto oscillators in scale-free networks
    • Y. Moreno and A. F. Pacheco, "Synchronization of Kuramoto oscillators in scale-free networks," Europhysics Letters, vol. 68, p. 603, 2004.
    • (2004) Europhysics Letters , vol.68 , pp. 603
    • Moreno, Y.1    Pacheco, A.F.2
  • 100
    • 77956049374 scopus 로고    scopus 로고
    • The wheels: An infinite family of bi-connected planar synchronizing graphs
    • Taichung, Taiwan, Jun.
    • E. A. Canale, P. A. Monzn, and F. Robledo, "The wheels: an infinite family of bi-connected planar synchronizing graphs," in IEEE Conf. Industrial Electronics and Applications, Taichung, Taiwan, Jun. 2010, pp. 2204-2209.
    • (2010) IEEE Conf. Industrial Electronics and Applications , pp. 2204-2209
    • Canale, E.A.1    Monzn, P.A.2    Robledo, F.3
  • 102
    • 39549104973 scopus 로고    scopus 로고
    • Ph.D. dissertation, Universidad de la República, Montevideo, Uruguay, Jul.
    • P. Monzón, "Almost global stability of dynamical systems," Ph.D. dissertation, Universidad de la República, Montevideo, Uruguay, Jul. 2006.
    • (2006) Almost Global Stability of Dynamical Systems
    • Monzón, P.1
  • 103
    • 21144473858 scopus 로고
    • Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators
    • J. L. van Hemmen and W. F. Wreszinski, "Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators," Journal of Statistical Physics, vol. 72, no. 1, pp. 145-166, 1993.
    • (1993) Journal of Statistical Physics , vol.72 , Issue.1 , pp. 145-166
    • Van Hemmen, J.L.1    Wreszinski, W.F.2
  • 104
    • 79953129813 scopus 로고    scopus 로고
    • On synchronization of coupled Hopf-Kuramoto oscillators with phase delays
    • Atlanta, GA, USA, Dec.
    • S. J. Chung and J. J. Slotine, "On synchronization of coupled Hopf-Kuramoto oscillators with phase delays," in IEEE Conf. on Decision and Control, Atlanta, GA, USA, Dec. 2010, pp. 3181-3187.
    • (2010) IEEE Conf. on Decision and Control , pp. 3181-3187
    • Chung, S.J.1    Slotine, J.J.2
  • 105
    • 84955169115 scopus 로고    scopus 로고
    • Multi-agent speed consensus via delayed position feedback with application to Kuramoto oscillators
    • Budapest, Hungary, Aug.
    • G. S. Schmidt, U. Münz, and F. Allgöwer, "Multi-agent speed consensus via delayed position feedback with application to Kuramoto oscillators," in European Control Conference, Budapest, Hungary, Aug. 2009, pp. 2464-2469.
    • (2009) European Control Conference , pp. 2464-2469
    • Schmidt, G.S.1    Münz, U.2    Allgöwer, F.3
  • 106
    • 79960939489 scopus 로고    scopus 로고
    • On the characterization of families of synchronizing graphs for Kuramoto coupled oscillators
    • Venice, Italy, Sep.
    • E. Canale and P. Monzón, "On the characterization of families of synchronizing graphs for Kuramoto coupled oscillators," in IFAC Workshop on Distributed Estimation and Control in Networked Systems, Venice, Italy, Sep. 2009, pp. 42-47.
    • (2009) IFAC Workshop on Distributed Estimation and Control in Networked Systems , pp. 42-47
    • Canale, E.1    Monzón, P.2
  • 107
    • 0000559957 scopus 로고
    • Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies
    • S. H. Strogatz and R. E. Mirollo, "Phase-locking and critical phenomena in lattices of coupled nonlinear oscillators with random intrinsic frequencies," Physica D: Nonlinear Phenomena, vol. 31, no. 2, pp. 143-168, 1988.
    • (1988) Physica D: Nonlinear Phenomena , vol.31 , Issue.2 , pp. 143-168
    • Strogatz, S.H.1    Mirollo, R.E.2
  • 109
    • 61449180129 scopus 로고    scopus 로고
    • Exact results for the Kuramoto model with a bimodal frequency distribution
    • E. A. Martens, E. Barreto, S. H. Strogatz, E. Ott, P. So, and T. M. Antonsen, "Exact results for the Kuramoto model with a bimodal frequency distribution," Physical Review E, vol. 79, no. 2, p. 26204, 2009.
    • (2009) Physical Review e , vol.79 , Issue.2 , pp. 26204
    • Martens, E.A.1    Barreto, E.2    Strogatz, S.H.3    Ott, E.4    So, P.5    Antonsen, T.M.6
  • 110
    • 33645691848 scopus 로고    scopus 로고
    • The size of the sync basin
    • D. A. Wiley, S. H. Strogatz, and M. Girvan, "The size of the sync basin," Chaos, vol. 16, no. 1, p. 015103, 2006.
    • (2006) Chaos , vol.16 , Issue.1 , pp. 015103
    • Wiley, D.A.1    Strogatz, S.H.2    Girvan, M.3
  • 111
    • 79956227519 scopus 로고    scopus 로고
    • On influences of global and local cues on the rate of synchronization of oscillator networks
    • Y. Wang and F. J. Doyle, "On influences of global and local cues on the rate of synchronization of oscillator networks," Automatica, vol. 47, no. 6, pp. 1236-1242, 2011.
    • (2011) Automatica , vol.47 , Issue.6 , pp. 1236-1242
    • Wang, Y.1    Doyle, F.J.2
  • 112
    • 1842477775 scopus 로고    scopus 로고
    • Equilibria and steering laws for planar formations
    • E. W. Justh and P. S. Krishnaprasad, "Equilibria and steering laws for planar formations," Systems & Control Letters, vol. 52, no. 1, pp. 25-38, 2004.
    • (2004) Systems & Control Letters , vol.52 , Issue.1 , pp. 25-38
    • Justh, E.W.1    Krishnaprasad, P.S.2
  • 113
    • 0019080360 scopus 로고
    • Hierarchical stability and alert state steering control of interconnected power systems
    • S. Sastry and P. Varaiya, "Hierarchical stability and alert state steering control of interconnected power systems," IEEE Transactions on Circuits and Systems, vol. 27, no. 11, pp. 1102-1112, 1980.
    • (1980) IEEE Transactions on Circuits and Systems , vol.27 , Issue.11 , pp. 1102-1112
    • Sastry, S.1    Varaiya, P.2
  • 114
    • 84874234123 scopus 로고    scopus 로고
    • Kron reduction of graphs with applications to electrical networks
    • Nov., to appear
    • F. Dörfler and F. Bullo, "Kron reduction of graphs with applications to electrical networks," IEEE Transactions on Circuits and Systems, Nov. 2011, to appear.
    • (2011) IEEE Transactions on Circuits and Systems
    • Dörfler, F.1    Bullo, F.2
  • 115
    • 70349308569 scopus 로고    scopus 로고
    • Stability of a distributed generation network using the Kuramoto models
    • ser. Lecture Notes in Computer Science. Springer
    • V. Fioriti, S. Ruzzante, E. Castorini, E. Marchei, and V. Rosato, "Stability of a distributed generation network using the Kuramoto models," in Critical Information Infrastructure Security, ser. Lecture Notes in Computer Science. Springer, 2009, pp. 14-23.
    • (2009) Critical Information Infrastructure Security , pp. 14-23
    • Fioriti, V.1    Ruzzante, S.2    Castorini, E.3    Marchei, E.4    Rosato, V.5
  • 117
    • 84864870465 scopus 로고    scopus 로고
    • Self-organized synchronization in decentralized power grids
    • M. Rohden, A. Sorge, M. Timme, and D. Witthaut, "Self-organized synchronization in decentralized power grids," Physical Review Letters, vol. 109, no. 6, p. 064101, 2012.
    • (2012) Physical Review Letters , vol.109 , Issue.6 , pp. 064101
    • Rohden, M.1    Sorge, A.2    Timme, M.3    Witthaut, D.4
  • 123
    • 0000747853 scopus 로고
    • Frequency plateaus in a chain of weakly coupled oscillators, i
    • G. B. Ermentrout and N. Kopell, "Frequency plateaus in a chain of weakly coupled oscillators, I." SIAM journal on Mathematical Analysis, vol. 15, no. 2, pp. 215-237, 1984.
    • (1984) SIAM Journal on Mathematical Analysis , vol.15 , Issue.2 , pp. 215-237
    • Ermentrout, G.B.1    Kopell, N.2
  • 125
    • 0041707963 scopus 로고    scopus 로고
    • Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
    • T. Nishikawa, A. E. Motter, Y. C. Lai, and F. C. Hoppensteadt, "Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?" Physical Review Letters, vol. 91, no. 1, p. 14101, 2003.
    • (2003) Physical Review Letters , vol.91 , Issue.1 , pp. 14101
    • Nishikawa, T.1    Motter, A.E.2    Lai, Y.C.3    Hoppensteadt, F.C.4
  • 126
    • 0020207779 scopus 로고
    • Steady-state security regions of power systems
    • F. Wu and S. Kumagai, "Steady-state security regions of power systems," IEEE Transactions on Circuits and Systems, vol. 29, no. 11, pp. 703-711, 1982.
    • (1982) IEEE Transactions on Circuits and Systems , vol.29 , Issue.11 , pp. 703-711
    • Wu, F.1    Kumagai, S.2
  • 128
    • 4243241129 scopus 로고    scopus 로고
    • Master stability functions for synchronized coupled systems
    • L. M. Pecora and T. L. Carroll, "Master stability functions for synchronized coupled systems," Physical Review Letters, vol. 80, no. 10, pp. 2109-2112, 1998.
    • (1998) Physical Review Letters , vol.80 , Issue.10 , pp. 2109-2112
    • Pecora, L.M.1    Carroll, T.L.2
  • 129
  • 133
    • 33749742926 scopus 로고
    • Network theoretic conditions for existence and uniqueness of steady state solutions to electric power circuits
    • San Diego, CA, USA, May
    • M. Ilić, "Network theoretic conditions for existence and uniqueness of steady state solutions to electric power circuits," in IEEE International Symposium on Circuits and Systems, San Diego, CA, USA, May 1992, pp. 2821-2828.
    • (1992) IEEE International Symposium on Circuits and Systems , pp. 2821-2828
    • Ilić, M.1
  • 137
    • 0036493650 scopus 로고    scopus 로고
    • A Lyapunov approach to incremental stability properties
    • D. Angeli, "A Lyapunov approach to incremental stability properties," IEEE Transactions on Automatic Control, vol. 47, no. 3, pp. 410-421, 2002.
    • (2002) IEEE Transactions on Automatic Control , vol.47 , Issue.3 , pp. 410-421
    • Angeli, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.