Asymptotic behavior and synchronizability characteristics of a class of recurrent neural networks

作者：Cebulla Christof^*

来源：Neural Computation, 2007, 19(9): 2492-2514.

DOI：10.1162/neco.2007.19.9.2492

We propose an approach to the analysis of the influence of the topology of a neural network on its synchronizability in the sense of equal output activity rates given by a particular neural network model. The model we introduce is a variation of the Zhang model. We investigate the time-asymptotic behavior of the corresponding dynamical system (in particular, the conditions for the existence of an invariant compact asymptotic set) and apply the results of the synchronizability analysis on a class of random scale free networks and to the classical random networks with Poisson connectivity distribution.

• 出版日期2007-9