Multiple bifurcations and periodic coexistence in a delayed Hopfield two-neural system with a monotonic activation function

Multiple bifurcations and periodic coexistence in a delayed Hopfield two-neural system with a monotonic activation function

Abstract In this paper, we consider a delayed Hopfield two-neural system with a monotonic activation function and find the periodic coexistence by bifurcation analysis. Firstly, we obtain the pitchfork bifurcation of the trivial equilibrium employing the central manifold and normal form methods. The...

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Bibliographic Details
Main Authors: Zigen Song, Weiguo Qian, Bin Zhen, Xianghong Kong
Format: Article
Language:English
Published: SpringerOpen 2019-05-01
Series:Advances in Difference Equations
Subjects:
Hopfield neural system
Multiple delays
Coexistence
Multiple bifurcations
Monotonic activation function
Online Access:http://link.springer.com/article/10.1186/s13662-019-2066-8

Internet

http://link.springer.com/article/10.1186/s13662-019-2066-8

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