Complex Dynamics of Delay-Coupled Neural Networks. (September 2016)

• Record Type: Journal Article
• Authors: Mao, Xiaochen
• Is Part Of: Journal of physics. Volume 744(2016)
• Publication Date: 2016-09
• Subjects: Physics -- Congresses; 530.5
• DOI: 10.1088/1742-6596/744/1/012129
• Languages: English
• ISSNs: 1742-6588

Abstract

Abstract: This paper reveals the complicated dynamics of a delay-coupled system that consists of a pair of sub-networks and multiple bidirectional couplings. Time delays are introduced into the internal connections and network-couplings, respectively. The stability and instability of the coupled network are discussed. The sufficient conditions for the existence of oscillations are given. Case studies of numerical simulations are given to validate the analytical results. Interesting and complicated neuronal activities are observed numerically, such as rest states, periodic oscillations, multiple switches of rest states and oscillations, and the coexistence of different types of oscillations.