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Published on: January 19, 2018
Dynamics of delay-coupled FitzHugh-Nagumo neural rings
Xiaochen Mao1, Jianqiao Sun2, Shaofan Li3
1Department of Engineering Mechanics, College of Mechanics and Materials, Hohai University, Nanjing 210098, China.
Abstract:
This paper studies the dynamical behaviors of a pair of FitzHugh-Nagumo neural networks with bidirectional delayed couplings. It presents a detailed analysis of delay-independent and delay-dependent stabilities and the existence of bifurcated oscillations. Illustrative examples are performed to validate the analytical results and to discover interesting phenomena. It is shown that the network exhibits a variety of complicated activities, such as multiple stability switches, the coexistence of periodic and quasi-periodic oscillations, the coexistence of periodic and chaotic orbits, and the coexisting chaotic attractors.
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