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Volumn 241, Issue 16, 2012, Pages 1351-1357

The Turing bifurcation in network systems: Collective patterns and single differentiated nodes

Author keywords

Diffusively coupled networks; Localized patterns; Turing instability

Indexed keywords

PHYSICS;

EID: 84862679920     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2012.05.002     Document Type: Article
Times cited : (57)

References (16)
  • 2
    • 0015128941 scopus 로고
    • Instability and dynamic pattern in cellular networks
    • H. Othmer, and L. Scriven Instability and dynamic pattern in cellular networks J. Theoret. Biol. 32 1971 507 537
    • (1971) J. Theoret. Biol. , vol.32 , pp. 507-537
    • Othmer, H.1    Scriven, L.2
  • 3
    • 3242881903 scopus 로고    scopus 로고
    • Network topology and Turing instabilities in small arrays of diffusively coupled reactors
    • W. Horsthemke, K. Lam, and P.K. Moore Network topology and Turing instabilities in small arrays of diffusively coupled reactors Phys. Lett. A 328 2004 444 451
    • (2004) Phys. Lett. A , vol.328 , pp. 444-451
    • Horsthemke, W.1    Lam, K.2    Moore, P.K.3
  • 4
    • 19944388966 scopus 로고    scopus 로고
    • Localized patterns in homogeneous networks of diffusively coupled reactors
    • DOI 10.1016/j.physd.2005.05.002, PII S0167278905001740
    • P.K. Moore, and W. Horsthemke Localized pattern in homogeneous networks of diffusively coupled reactors Physica D 206 2005 121 144 (Pubitemid 40753415)
    • (2005) Physica D: Nonlinear Phenomena , vol.206 , Issue.1-2 , pp. 121-144
    • Moore, P.K.1    Horsthemke, W.2
  • 5
    • 0032487859 scopus 로고    scopus 로고
    • Metapopulation dynamics
    • DOI 10.1038/23876
    • I. Hanski Metapopulation dynamics Nature 1998 41 49 (Pubitemid 28520441)
    • (1998) Nature , vol.396 , Issue.6706 , pp. 41-49
    • Hanski, I.1
  • 6
    • 34047175259 scopus 로고    scopus 로고
    • Reaction-diffusion processes and metapopulation models in heterogeneous networks
    • V. Colizza, R. Pastor-Satorras, and A. Vespignani Reaction-diffusion processes and metapopulation models in heterogeneous networks Nat. Phys. 3 2007 276 282
    • (2007) Nat. Phys. , vol.3 , pp. 276-282
    • Colizza, V.1    Pastor-Satorras, R.2    Vespignani, A.3
  • 8
    • 31344474880 scopus 로고    scopus 로고
    • Complex networks: Structure and dynamics
    • DOI 10.1016/j.physrep.2005.10.009, PII S037015730500462X
    • S. Boccaletti, V. Latora, Y. Moreno, M. Chavez, and D.-U. Hwang Complex networks: structure and dynamics Phys. Rep. 424 2005 175 308 (Pubitemid 43135890)
    • (2006) Physics Reports , vol.424 , Issue.4-5 , pp. 175-308
    • Boccaletti, S.1    Latora, V.2    Moreno, Y.3    Chavez, M.4    Hwang, D.-U.5
  • 9
    • 65449145228 scopus 로고    scopus 로고
    • Diffusion-induced instability and chaos in random oscillator networks
    • A.S.M. Hiroya Nakao Diffusion-induced instability and chaos in random oscillator networks Phys. Rev. E 79 2009 036214/1 036214/5
    • (2009) Phys. Rev. e , vol.79
    • Hiroya Nakao, A.S.M.1
  • 10
    • 77954332519 scopus 로고    scopus 로고
    • Turing patterns in network-organized activator-inhibitor systems
    • H. Nakao, and A. Mikhailov Turing patterns in network-organized activator-inhibitor systems Nat. Phys. 2010 544 550
    • (2010) Nat. Phys. , pp. 544-550
    • Nakao, H.1    Mikhailov, A.2
  • 11
    • 0035794256 scopus 로고    scopus 로고
    • Epidemic spreading in scale-free networks
    • DOI 10.1103/PhysRevLett.86.3200
    • R. Pastor-Satorras, and A. Vespignani Epidemic spreading in scale-free networks Phys. Rev. Lett. 86 2001 3200 3203 (Pubitemid 32317894)
    • (2001) Physical Review Letters , vol.86 , Issue.14 , pp. 3200-3203
    • Pastor-Satorras, R.1    Vespignani, A.2
  • 15
    • 79960634409 scopus 로고    scopus 로고
    • Loss of coherence in dynamical networks: Spatial chaos and chimera states
    • I. Omelchenko, Y. Maistrenko, P. Hövel, and E. Schöll Loss of coherence in dynamical networks: spatial chaos and chimera states Phys. Rev. Lett. 106 2011 234102
    • (2011) Phys. Rev. Lett. , vol.106 , pp. 234102
    • Omelchenko, I.1    Maistrenko, Y.2    Hövel, P.3    Schöll, E.4
  • 16
    • 40949122707 scopus 로고    scopus 로고
    • Laplacian spectra as a diagnostic tool for network structure and dynamics
    • P.N. McGraw, and M. Menzinger Laplacian spectra as a diagnostic tool for network structure and dynamics Phys. Rev. E 77 2008 031102
    • (2008) Phys. Rev. e , vol.77 , pp. 031102
    • McGraw, P.N.1    Menzinger, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.