메뉴 건너뛰기




Volumn 17, Issue 7, 2007, Pages 2419-2434

Synchronizability and synchronization dynamics of weighed and unweighed scale free networks with degree mixing

Author keywords

Complex network; Synchronization

Indexed keywords

CLUSTERING ALGORITHMS; CORRELATION METHODS; DYNAMICS; OPTIMIZATION; SYNCHRONIZATION; TOPOLOGY;

EID: 34548502488     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021812740701849X     Document Type: Article
Times cited : (41)

References (49)
  • 1
    • 51249173340 scopus 로고
    • Eigenvalues and expanders
    • Alon, N. [1986] "Eigenvalues and expanders," Combinatorics 6, 83-96.
    • (1986) Combinatorics , vol.6 , pp. 83-96
    • Alon, N.1
  • 4
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • Barabasi, A. & Albert, R. [1999] "Emergence of scaling in random networks," Science 286, 509-512.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabasi, A.1    Albert, R.2
  • 5
    • 3343010976 scopus 로고    scopus 로고
    • Synchronization in small-world networks
    • Barahona, M. & Pecora, L. [2002] "Synchronization in small-world networks," Phys. Rev. Lett. 89, 054101.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 054101
    • Barahona, M.1    Pecora, L.2
  • 6
    • 2942566632 scopus 로고    scopus 로고
    • Betweenness centrality in large complex networks
    • Barthelemy, M. [2004] "Betweenness centrality in large complex networks," Eur. Phys. J. B 38, 163.
    • (2004) Eur. Phys. J. B , vol.38 , pp. 163
    • Barthelemy, M.1
  • 8
    • 0035474697 scopus 로고    scopus 로고
    • Callaway, D., Hopcroft, J., Kleinberg, J., Newman, M. & Strogatz, S. [2001] Are randomly grown graphs really random? Phy. Rev. E 64, 0419021.1-0419021.7.
    • Callaway, D., Hopcroft, J., Kleinberg, J., Newman, M. & Strogatz, S. [2001] "Are randomly grown graphs really random?" Phy. Rev. E 64, 0419021.1-0419021.7.
  • 9
    • 34548491989 scopus 로고    scopus 로고
    • Generation of uncorrected random scale-free networks
    • Catanzaro, M., Boguna, M. & Pastor-Satorras, R. [2005] "Generation of uncorrected random scale-free networks," Phys. Rev. E 71, 027103.1-027103.4.
    • (2005) Phys. Rev. E , vol.71
    • Catanzaro, M.1    Boguna, M.2    Pastor-Satorras, R.3
  • 11
    • 20344362744 scopus 로고
    • A lower bound for the smallest eigenvalue of the Laplacian
    • Cheeger, J. [1970] "A lower bound for the smallest eigenvalue of the Laplacian," Probl. Anal. Symp. Honor of Solomon Bocher, pp. 195-199.
    • (1970) Probl. Anal. Symp. Honor of Solomon Bocher , pp. 195-199
    • Cheeger, J.1
  • 13
    • 34548515458 scopus 로고    scopus 로고
    • di Bernardo, M., Garofalo, F. & Sorrentino, F. [2006] Effects of degree correlation on the synchronization of networks of oscillators, Accepted for publication on Int. J. Bifurcation and Chaos.
    • di Bernardo, M., Garofalo, F. & Sorrentino, F. [2006] "Effects of degree correlation on the synchronization of networks of oscillators," Accepted for publication on Int. J. Bifurcation and Chaos.
  • 15
    • 0000747853 scopus 로고
    • Frequency plateaus in a chain of weakly coupled oscillators
    • Ermentrout, G. & Kopell, N. [1984] "Frequency plateaus in a chain of weakly coupled oscillators," SIAM J. Math. Anal. 15, 215-237.
    • (1984) SIAM J. Math. Anal , vol.15 , pp. 215-237
    • Ermentrout, G.1    Kopell, N.2
  • 16
    • 13444256184 scopus 로고    scopus 로고
    • On synchronization in scale free dynamical networks
    • Fan, J. & Wang, X. F. [2005] "On synchronization in scale free dynamical networks," Physica A 349, 443-451.
    • (2005) Physica A , vol.349 , pp. 443-451
    • Fan, J.1    Wang, X.F.2
  • 17
    • 0035981014 scopus 로고    scopus 로고
    • Universal behavior of load distribution in scale-free networks
    • Goh, K.-I., Kahng, B. & Kim, D. [2001] "Universal behavior of load distribution in scale-free networks," Phys. Rev. Lett. 87, 278701.
    • (2001) Phys. Rev. Lett , vol.87 , pp. 278701
    • Goh, K.-I.1    Kahng, B.2    Kim, D.3
  • 18
    • 18144376339 scopus 로고    scopus 로고
    • Synchronization in complex networks with age ordering
    • Huang, D., Chavez, M., Amann, A. & Boccaletti, S. [2005] "Synchronization in complex networks with age ordering," Phys. Rev. Lett. 94, 138701.
    • (2005) Phys. Rev. Lett , vol.94 , pp. 138701
    • Huang, D.1    Chavez, M.2    Amann, A.3    Boccaletti, S.4
  • 20
    • 84990585743 scopus 로고
    • Symmetry and phaselocking in chains of weakly coupled oscillators
    • Kopell, N. & Ermentrout, G. [1986] "Symmetry and phaselocking in chains of weakly coupled oscillators," Commun. Pure Appl. Math 39, 623-660.
    • (1986) Commun. Pure Appl. Math , vol.39 , pp. 623-660
    • Kopell, N.1    Ermentrout, G.2
  • 22
    • 27244457780 scopus 로고    scopus 로고
    • Synchronization transition in scale-free networks: Clusters of synchrony
    • Lee, D.-S. [2005] "Synchronization transition in scale-free networks: Clusters of synchrony," Phys. Rev. E 72, 026208.
    • (2005) Phys. Rev. E , vol.72 , pp. 026208
    • Lee, D.-S.1
  • 23
    • 32944464815 scopus 로고    scopus 로고
    • Intrinsic degree-correlations in the static model of scale-free networks
    • Lee, J., Goh, K.-I., Kahng, B. & Kim, D. [2006] "Intrinsic degree-correlations in the static model of scale-free networks," Euro. Phys. J. B 49, 231-238.
    • (2006) Euro. Phys. J. B , vol.49 , pp. 231-238
    • Lee, J.1    Goh, K.-I.2    Kahng, B.3    Kim, D.4
  • 24
    • 2542606242 scopus 로고    scopus 로고
    • Characterizing the synchronizability of small-world dynamical networks
    • Lu, J., Chen, G. & Cheng, D. [2004] "Characterizing the synchronizability of small-world dynamical networks," IEEE Trans. Circuits Syst. 51, 787-795.
    • (2004) IEEE Trans. Circuits Syst , vol.51 , pp. 787-795
    • Lu, J.1    Chen, G.2    Cheng, D.3
  • 25
    • 0025567093 scopus 로고
    • Synchronization of pulse-coupled biological oscillators
    • Mirollo, R. & Strogatz, S. [1990] "Synchronization of pulse-coupled biological oscillators," SIAM J. Appl. Math. 50, 1645-1662.
    • (1990) SIAM J. Appl. Math , vol.50 , pp. 1645-1662
    • Mirollo, R.1    Strogatz, S.2
  • 26
    • 0001649842 scopus 로고
    • Isoperimetric number of graphs
    • Mohar, B. [1989a] "Isoperimetric number of graphs," J. Comb. Th. B 274-291.
    • (1989) J. Comb. Th. B , pp. 274-291
    • Mohar, B.1
  • 27
    • 0001216057 scopus 로고
    • The Laplacian spectrum of graphs
    • Mohar, B. [1989b] "The Laplacian spectrum of graphs," Graph Th. Combin. Appl. 2, 871-898.
    • (1989) Graph Th. Combin. Appl , vol.2 , pp. 871-898
    • Mohar, B.1
  • 28
    • 84990671447 scopus 로고
    • A critical point for random graphs with a given degree sequence
    • Molloy, M. & Reed, B. [1995] "A critical point for random graphs with a given degree sequence," Rand. Struct. Algorith. 6, 161-179.
    • (1995) Rand. Struct. Algorith , vol.6 , pp. 161-179
    • Molloy, M.1    Reed, B.2
  • 29
    • 18144398038 scopus 로고    scopus 로고
    • Synchronization of Kuramoto oscillators in scale-free network
    • Moreno, Y. & Pacheco, A. [2004] "Synchronization of Kuramoto oscillators in scale-free network," Europhys. Lett. 68, 603-609.
    • (2004) Europhys. Lett , vol.68 , pp. 603-609
    • Moreno, Y.1    Pacheco, A.2
  • 30
    • 4544224811 scopus 로고    scopus 로고
    • Fitness for synchronization of network motifs
    • Moreno, Y., Vazquez-Prada, M. & Pacheco, A. [2004] "Fitness for synchronization of network motifs," Physica A 343, 279.
    • (2004) Physica A , vol.343 , pp. 279
    • Moreno, Y.1    Vazquez-Prada, M.2    Pacheco, A.3
  • 32
    • 37649031501 scopus 로고    scopus 로고
    • Network synchronization, diffusion, and the paradox of heterogeneity
    • Motter, A., Zhou, C. & Kurths, J. [2005b] "Network synchronization, diffusion, and the paradox of heterogeneity," Phys. Rev. E 71, 016116.
    • (2005) Phys. Rev. E , vol.71 , pp. 016116
    • Motter, A.1    Zhou, C.2    Kurths, J.3
  • 33
    • 18744389789 scopus 로고    scopus 로고
    • Assortative mixing in networks
    • Newman, M. [2002a] "Assortative mixing in networks," Phys. Rev. Lett. 89, 208701.
    • (2002) Phys. Rev. Lett , vol.89 , pp. 208701
    • Newman, M.1
  • 34
    • 41349106348 scopus 로고    scopus 로고
    • The spread of epidemic disease on networks
    • Newman, M. [2002b] "The spread of epidemic disease on networks," Phys. Rev. E 66, 016128.
    • (2002) Phys. Rev. E , vol.66 , pp. 016128
    • Newman, M.1
  • 35
    • 0038752085 scopus 로고    scopus 로고
    • Mixing patterns in networks
    • Newman, M. [2003] "Mixing patterns in networks," Phys. Rev. E 67, 026126.
    • (2003) Phys. Rev. E , vol.67 , pp. 026126
    • Newman, M.1
  • 36
    • 0041707963 scopus 로고    scopus 로고
    • Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
    • Nishikawa, T., Motter, A., Lai, Y. & Hoppensteadt, F. [2003] "Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?" Phys. Rev. Lett. 91, 014101.
    • (2003) Phys. Rev. Lett , vol.91 , pp. 014101
    • Nishikawa, T.1    Motter, A.2    Lai, Y.3    Hoppensteadt, F.4
  • 37
    • 28844489902 scopus 로고    scopus 로고
    • Modular synchronization of complex networks
    • Oh, E., Rho, K., Hong, H. & Kahng, B. [2005] "Modular synchronization of complex networks," Phys. Rev. E 72, 047101.
    • (2005) Phys. Rev. E , vol.72 , pp. 047101
    • Oh, E.1    Rho, K.2    Hong, H.3    Kahng, B.4
  • 38
    • 33748286498 scopus 로고    scopus 로고
    • The origin of degree correlations in the internet and other networks
    • Park, J. & Newman, M. [2003] "The origin of degree correlations in the internet and other networks," Phys. Rev. E 68, 026112.
    • (2003) Phys. Rev. E , vol.68 , pp. 026112
    • Park, J.1    Newman, M.2
  • 39
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • Pastor-Satorras, R. & Vespignani, A. [2001] "Epidemic spreading in scale-free networks," Phys. Rev. Lett. 86, 3200-3203.
    • (2001) Phys. Rev. Lett , vol.86 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 40
    • 4243241129 scopus 로고    scopus 로고
    • Master stability functions for synchronized coupled systems
    • Pecora, L. & Carroll, T. [1998] "Master stability functions for synchronized coupled systems," Phys. Rev. Lett. 80, 2109-2112.
    • (1998) Phys. Rev. Lett , vol.80 , pp. 2109-2112
    • Pecora, L.1    Carroll, T.2
  • 41
    • 33751106667 scopus 로고    scopus 로고
    • Synchronization in weighted scale-free networks with degree-degree correlation
    • Sorrentino, F., di Bernardo, M., Cuellar, G. H. & Boccaletti, S. [2006] "Synchronization in weighted scale-free networks with degree-degree correlation," Physica D 224, 123-129.
    • (2006) Physica D , vol.224 , pp. 123-129
    • Sorrentino, F.1    di Bernardo, M.2    Cuellar, G.H.3    Boccaletti, S.4
  • 42
    • 0027519363 scopus 로고
    • Coupled oscillators and biological synchronization
    • Strogatz, S. & Stewart, I. [1993] "Coupled oscillators and biological synchronization," Scient. Amer. 269, 102-109.
    • (1993) Scient. Amer , vol.269 , pp. 102-109
    • Strogatz, S.1    Stewart, I.2
  • 43
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • Strogatz, S. [2001] "Exploring complex networks," Nature 410, 268-276.
    • (2001) Nature , vol.410 , pp. 268-276
    • Strogatz, S.1
  • 44
    • 41349090299 scopus 로고    scopus 로고
    • Large-scale topological and dynamical properties of the internet
    • Vasquez, A., Pastor-Satorras, R. & Vespignani, A. [2002] "Large-scale topological and dynamical properties of the internet," Phys. Rev. E 65, 066130.
    • (2002) Phys. Rev. E , vol.65 , pp. 066130
    • Vasquez, A.1    Pastor-Satorras, R.2    Vespignani, A.3
  • 45
    • 0036336705 scopus 로고    scopus 로고
    • Complex networks: Topology dynamics and synchronization
    • Wang, X. [2002] "Complex networks: Topology dynamics and synchronization," Int. J. Bifurcation and Chaos 12, 885-916.
    • (2002) Int. J. Bifurcation and Chaos , vol.12 , pp. 885-916
    • Wang, X.1
  • 46
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small world' networks
    • Watts, D. & Strogatz, S. [1998] "Collective dynamics of 'small world' networks," Nature 393, 440-442.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.1    Strogatz, S.2
  • 48
    • 0347533037 scopus 로고    scopus 로고
    • Perturbation of coupling matrices and its effects on the synchronizability in arrays of coupled chaotic systems
    • Wu, C. W. [2003] "Perturbation of coupling matrices and its effects on the synchronizability in arrays of coupled chaotic systems," Phys. Lett. A 319, 495-503.
    • (2003) Phys. Lett. A , vol.319 , pp. 495-503
    • Wu, C.W.1
  • 49
    • 33748700193 scopus 로고    scopus 로고
    • Synchronization of Rössler oscillators on scale-free topologies
    • Yook, S.-H. & Meyer-Ortmanns, H. [2006] "Synchronization of Rössler oscillators on scale-free topologies," Physica A 371, 781-789.
    • (2006) Physica A , vol.371 , pp. 781-789
    • Yook, S.-H.1    Meyer-Ortmanns, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.