Dynamical Properties of Discrete-Time Background Neural Networks with Uniform Firing Rate

Min Wan, Jianping Gou, Desong Wang and Xiaoming Wang

Mathematical Problems in Engineering, 2013, vol. 2013, 1-6

Abstract:

The dynamics of a discrete-time background network with uniform firing rate and background input is investigated. The conditions for stability are firstly derived. An invariant set is then obtained so that the nondivergence of the network can be guaranteed. In the invariant set, it is proved that all trajectories of the network starting from any nonnegative value will converge to a fixed point under some conditions. In addition, bifurcation and chaos are discussed. It is shown that the network can engender bifurcation and chaos with the increase of background input. The computations of Lyapunov exponents confirm the chaotic behaviors.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:892794

DOI: 10.1155/2013/892794

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