2004/06/23 by Ricardo López‐Ruiz, R. Lopez-Ruiz, Y. Moreno +11
Biochemistry, Genetics and Molecular Biology · Computer Science · Neuroscience · Physics and Astronomy · #Gene Regulatory Network Analysis #Neural dynamics and brain function #Nonlinear Dynamics and Pattern Formation #cond-mat.dis-nn #nlin.AO #nlin.PS #q-bio.NC
paper · pdf · doi:10.48550/arxiv.nlin/0406053
14 pages, 3 figures
arxiv created 2004/06/23 · arxiv updated 2009/12/01
A network with local dynamics of logistic type is considered. We implement a mean-field multiplicative coupling among first-neighbor nodes. When the coupling parameter is small the dynamics is dissipated and there is no activity: the network is \it turned off. For a critical value of the coupling a non-null stable synchronized state, which represents a \it turned on network, emerges. This global bifurcation is independent of the network topology. We characterize the bistability of the system by studying how to perform the transition, which now is topology dependent, from the active state to that with no activity, for the particular case of a scale free network. This could be a naive model for the \it wakening and \it sleeping of a brain-like system.