Complex Dynamics of Delay-Coupled Neural Networks

13th International Conference on Motion and Vibration Control; 12th International Conference on Recent Advances in Structural Dynamics

Mao, Xiaochen^1,2

Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing

210098, China^1

State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing

210016, China^2

关键词: Analytical results;    Bidirectional coupling;    Coupled neural networks;    Internal connections;    Multiple switches;    Neuronal activities;    Periodic oscillation;    Stability and instability;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/744/1/012129/pdf
DOI  :  10.1088/1742-6596/744/1/012129

来源: IOP

【 摘 要 】

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.