The Turing bifurcation in network systems: Collective patterns and single differentiated nodes
暂无分享,去创建一个
[1] L E Scriven,et al. Instability and dynamic pattern in cellular networks. , 1971, Journal of theoretical biology.
[2] A. M. Turing,et al. The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.
[3] Shui-Nee Chow,et al. DYNAMICS OF LATTICE DIFFERENTIAL EQUATIONS , 1996 .
[4] I. Hanski. Metapopulation dynamics , 1998, Nature.
[5] Jürgen Kurths,et al. Synchronization - A Universal Concept in Nonlinear Sciences , 2001, Cambridge Nonlinear Science Series.
[6] Alessandro Vespignani,et al. Epidemic spreading in scale-free networks. , 2000, Physical review letters.
[7] Martin Hasler,et al. Stable Stationary Solutions in Reaction-diffusion Systems Consisting of a 1-d Array of Bistable Cells , 2002, Int. J. Bifurc. Chaos.
[8] Peter K. Moore,et al. Network topology and Turing instabilities in small arrays of diffusively coupled reactors , 2004 .
[9] Peter K. Moore,et al. Localized patterns in homogeneous networks of diffusively coupled reactors , 2005 .
[10] Arkady Pikovsky,et al. A universal concept in nonlinear sciences , 2006 .
[11] V. Latora,et al. Complex networks: Structure and dynamics , 2006 .
[12] Alessandro Vespignani,et al. Reaction–diffusion processes and metapopulation models in heterogeneous networks , 2007, cond-mat/0703129.
[13] Michael Menzinger,et al. Laplacian spectra as a diagnostic tool for network structure and dynamics. , 2007, Physical review. E, Statistical, nonlinear, and soft matter physics.
[14] Alexander S Mikhailov,et al. Diffusion-induced instability and chaos in random oscillator networks. , 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.
[15] Alessandro Vespignani,et al. Complex networks: Patterns of complexity , 2010 .
[16] Alexander S. Mikhailov,et al. Turing patterns in network-organized activator–inhibitor systems , 2008, 0807.1230.
[17] P. Hövel,et al. Loss of coherence in dynamical networks: spatial chaos and chimera states. , 2011, Physical review letters.