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- Title
STABILITY AND HOPF BIFURCATION OF A DELAYED NETWORK OF FOUR NEURONS WITH A SHORT-CUT CONNECTION.
- Authors
MAO, XIAOCHEN; HU, HAIYAN
- Abstract
This paper reveals the dynamics of a delayed neural network of four neurons, with a short-cut connection through a theoretical analysis and some case studies of both numerical simulations and experiments. It presents a detailed analysis of the stability and the stability switches of the network equilibrium, as well as the Hopf bifurcation and the bifurcating periodic responses on the basis of the normal form and the center manifold reduction. Afterwards, the study focuses on the validation of theoretical results through numerical simulations and circuit experiments. The numerical simulations and the circuit experiments not only show good agreement with theoretical results, but also show abundant effects of the short-cut connection on the network dynamics.
- Subjects
ARTIFICIAL neural networks; COMPUTER simulation; SIMULATION methods &; models; MATHEMATICAL models; BIFURCATION theory
- Publication
International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2008, Vol 18, Issue 10, p3053
- ISSN
0218-1274
- Publication type
Article
- DOI
10.1142/S021812740802224X