메뉴 건너뛰기




Volumn 237, Issue 7, 2008, Pages 1006-1012

Network synchronizability analysis: The theory of subgraphs and complementary graphs

Author keywords

Complementary graph; Complex network; Subgraph; Synchronizability

Indexed keywords

GRAPH THEORY; MATRIX ALGEBRA; SYNCHRONIZATION;

EID: 42249099026     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2007.12.003     Document Type: Article
Times cited : (36)

References (31)
  • 1
    • 27244446299 scopus 로고    scopus 로고
    • Graph operations and synchronization of complex networks
    • Atay F.M., and Bi{dotless}yi{dotless}koǧlu T. Graph operations and synchronization of complex networks. Phys. Rev. E 72 (2005) 016217
    • (2005) Phys. Rev. E , vol.72 , pp. 016217
    • Atay, F.M.1    Biyikoǧlu, T.2
  • 2
    • 33750991862 scopus 로고    scopus 로고
    • Network synchronization: Spectral versus statistical properties
    • Atay F.M., Bi{dotless}yi{dotless}koǧlu T., and Jost J. Network synchronization: Spectral versus statistical properties. Physica D 224 (2006) 35
    • (2006) Physica D , vol.224 , pp. 35
    • Atay, F.M.1    Biyikoǧlu, T.2    Jost, J.3
  • 3
    • 3343010976 scopus 로고    scopus 로고
    • Synchronization in small-world systems
    • Barahona M., and Pecora L.M. Synchronization in small-world systems. Phys. Rev. Lett. 89 (2002) 054101
    • (2002) Phys. Rev. Lett. , vol.89 , pp. 054101
    • Barahona, M.1    Pecora, L.M.2
  • 4
    • 27144547553 scopus 로고    scopus 로고
    • Synchronization of bursting neurons: What matters in the network topology
    • Belykh I.V., Lange E., and Hasler M. Synchronization of bursting neurons: What matters in the network topology. Phys. Rev. Lett. 94 (2005) 188101
    • (2005) Phys. Rev. Lett. , vol.94 , pp. 188101
    • Belykh, I.V.1    Lange, E.2    Hasler, M.3
  • 6
    • 28844496387 scopus 로고    scopus 로고
    • Entangled networks, synchronization, and optimal network topology
    • Donetti L., Hurtado P.I., and Muñoz M.A. Entangled networks, synchronization, and optimal network topology. Phys. Rev. Lett. 95 (2005) 188701
    • (2005) Phys. Rev. Lett. , vol.95 , pp. 188701
    • Donetti, L.1    Hurtado, P.I.2    Muñoz, M.A.3
  • 7
    • 36048975777 scopus 로고    scopus 로고
    • Complex network synchronizability: Analysis and control
    • Duan Z.S., Chen G., and Huang L. Complex network synchronizability: Analysis and control. Phys. Rev. E 76 (2007) 056103
    • (2007) Phys. Rev. E , vol.76 , pp. 056103
    • Duan, Z.S.1    Chen, G.2    Huang, L.3
  • 9
    • 37649026650 scopus 로고    scopus 로고
    • Vertex overload breakdown in evolving networks
    • Holme P., and Kim B.J. Vertex overload breakdown in evolving networks. Phys. Rev. E 65( (2002) 066109
    • (2002) Phys. Rev. E , vol.65 , pp. 066109
    • Holme, P.1    Kim, B.J.2
  • 10
    • 42749099223 scopus 로고    scopus 로고
    • Factors that predict better synchronizability on complex networks
    • Hong H., Kim B.J., Choi M.Y., and Park H. Factors that predict better synchronizability on complex networks. Phys. Rev. E 69 (2004) 067105
    • (2004) Phys. Rev. E , vol.69 , pp. 067105
    • Hong, H.1    Kim, B.J.2    Choi, M.Y.3    Park, H.4
  • 11
    • 34547262756 scopus 로고    scopus 로고
    • Ensemble averageability in network spectra
    • Kim D.H., and Motter A.E. Ensemble averageability in network spectra. Phys. Rev. Lett. 98 (2007) 248701
    • (2007) Phys. Rev. Lett. , vol.98 , pp. 248701
    • Kim, D.H.1    Motter, A.E.2
  • 12
    • 31144466627 scopus 로고    scopus 로고
    • Synchronization in power-law networks
    • Kocarev L., and Amato P. Synchronization in power-law networks. Chaos 15 (2005) 024101
    • (2005) Chaos , vol.15 , pp. 024101
    • Kocarev, L.1    Amato, P.2
  • 13
    • 6444234243 scopus 로고    scopus 로고
    • Synchronization analysis of linearly coupled networks of discrete time systems
    • Lu W., and Chen T. Synchronization analysis of linearly coupled networks of discrete time systems. Physica D 198 (2004) 148
    • (2004) Physica D , vol.198 , pp. 148
    • Lu, W.1    Chen, T.2
  • 14
    • 2542606242 scopus 로고    scopus 로고
    • Characterizing the synchronizability of small-world dynamical networks
    • Lü J.H., Yu X.H., Chen G., and Cheng D.Z. Characterizing the synchronizability of small-world dynamical networks. IEEE. Trans. Circuits Syst.-I 51 (2004) 787
    • (2004) IEEE. Trans. Circuits Syst.-I , vol.51 , pp. 787
    • Lü, J.H.1    Yu, X.H.2    Chen, G.3    Cheng, D.Z.4
  • 15
    • 33750999449 scopus 로고
    • Laplacian matrices of graph: A survey
    • Merris R. Laplacian matrices of graph: A survey. Linear Algebra Appl. 197-198 (1994) 143
    • (1994) Linear Algebra Appl. , vol.197-198 , pp. 143
    • Merris, R.1
  • 16
    • 11544285071 scopus 로고    scopus 로고
    • Laplacian graph eigenvectors
    • Merris R. Laplacian graph eigenvectors. Linear Algebra Appl. 278 (1998) 221
    • (1998) Linear Algebra Appl. , vol.278 , pp. 221
    • Merris, R.1
  • 17
    • 34547310300 scopus 로고    scopus 로고
    • Bounding network spectra for network design
    • Motter A.E. Bounding network spectra for network design. N. J. Phys. 9 (2007) 182
    • (2007) N. J. Phys. , vol.9 , pp. 182
    • Motter, A.E.1
  • 18
    • 13444278557 scopus 로고    scopus 로고
    • Enhancing complex-network synchronization
    • Motter A.E., Zhou C.S., and Kurths J. Enhancing complex-network synchronization. Europhys. Lett. 69 (2005) 334
    • (2005) Europhys. Lett. , vol.69 , pp. 334
    • Motter, A.E.1    Zhou, C.S.2    Kurths, J.3
  • 19
    • 33748912755 scopus 로고    scopus 로고
    • Eigenvalues and extremal degrees of graphs
    • Nikiforov V. Eigenvalues and extremal degrees of graphs. Linear Algebra Appl. 419 (2006) 735
    • (2006) Linear Algebra Appl. , vol.419 , pp. 735
    • Nikiforov, V.1
  • 20
    • 33750995849 scopus 로고    scopus 로고
    • Maximum performance at minimum cost in network synchronization
    • Nishikawa T., and Motter A.E. Maximum performance at minimum cost in network synchronization. Physica D 224 (2006) 77
    • (2006) Physica D , vol.224 , pp. 77
    • Nishikawa, T.1    Motter, A.E.2
  • 21
    • 0041707963 scopus 로고    scopus 로고
    • Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?
    • Nishikawa T., Motter A.E., Lai Y.C., and Hoppensteadt F.C. Heterogeneity in oscillator networks: Are smaller worlds easier to synchronize?. Phys. Rev. Lett. 91 (2003) 014101
    • (2003) Phys. Rev. Lett. , vol.91 , pp. 014101
    • Nishikawa, T.1    Motter, A.E.2    Lai, Y.C.3    Hoppensteadt, F.C.4
  • 22
    • 0142044829 scopus 로고    scopus 로고
    • Sharp upper bounds for the Laplacian graph eigenvalues
    • Pan Y.L. Sharp upper bounds for the Laplacian graph eigenvalues. Linear Algebra Appl. 355 (2002) 287
    • (2002) Linear Algebra Appl. , vol.355 , pp. 287
    • Pan, Y.L.1
  • 23
    • 4243241129 scopus 로고    scopus 로고
    • Master stability functions for synchronized coupled systems
    • Pecora L.M., and Carroll T.L. Master stability functions for synchronized coupled systems. Phys. Rev. Lett. 80 (1998) 2109
    • (1998) Phys. Rev. Lett. , vol.80 , pp. 2109
    • Pecora, L.M.1    Carroll, T.L.2
  • 26
    • 34347224787 scopus 로고    scopus 로고
    • Enhancing synchronization based on complex gradient networks
    • Wang X.G., Lai Y.C., and Lai C.H. Enhancing synchronization based on complex gradient networks. Phys. Rev. E 75 (2007) 056205
    • (2007) Phys. Rev. E , vol.75 , pp. 056205
    • Wang, X.G.1    Lai, Y.C.2    Lai, C.H.3
  • 27
    • 0036125429 scopus 로고    scopus 로고
    • Synchronization in scale-free dynamical networks: Robustness and fragility
    • Wang X.F., and Chen G. Synchronization in scale-free dynamical networks: Robustness and fragility. IEEE Trans. Circuits Syst.-I 49 (2002) 54
    • (2002) IEEE Trans. Circuits Syst.-I , vol.49 , pp. 54
    • Wang, X.F.1    Chen, G.2
  • 28
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • Watts D.J., and Strogatz S.H. Collective dynamics of 'small-world' networks. Nature 393 6684 (1998) 440
    • (1998) Nature , vol.393 , Issue.6684 , pp. 440
    • Watts, D.J.1    Strogatz, S.H.2
  • 29
    • 24944539632 scopus 로고    scopus 로고
    • Synchronizability of networks of chaotic systems coupled via a graph with a prescribed degree sequence
    • Wu C.W. Synchronizability of networks of chaotic systems coupled via a graph with a prescribed degree sequence. Phys. Lett. A 346 (2005) 281
    • (2005) Phys. Lett. A , vol.346 , pp. 281
    • Wu, C.W.1
  • 30
    • 33748712432 scopus 로고    scopus 로고
    • Relations between average distance, heterogeneity and network synchronizability
    • Zhao M., Zhou T., Wang B.H., Yan G., Yang H.J., and Bai W.J. Relations between average distance, heterogeneity and network synchronizability. Physica A 371 (2006) 773
    • (2006) Physica A , vol.371 , pp. 773
    • Zhao, M.1    Zhou, T.2    Wang, B.H.3    Yan, G.4    Yang, H.J.5    Bai, W.J.6
  • 31
    • 33646383617 scopus 로고    scopus 로고
    • Dynamical weights and enhanced synchronization in adaptive complex networks
    • Zhou C.S., and Kurths J. Dynamical weights and enhanced synchronization in adaptive complex networks. Phys. Rev. Lett. 96 (2006) 164102
    • (2006) Phys. Rev. Lett. , vol.96 , pp. 164102
    • Zhou, C.S.1    Kurths, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.