Journal
NEUROCOMPUTING
Volume 287, Issue -, Pages 34-44Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2018.01.081
Keywords
Inertia; Multiple delays; Hopf singularity; Four-neuron coupled system
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Funding
- HUEL
- Key Research Project of Higher Education Institutions of Henan Province [18A110003]
- National Natural Science Foundation of China [11772229, 11572224, 61640315, 61603125]
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In this paper, the four-neuron inertial neural system with multiple delays is proposed. By analyzing the associated transcendental characteristic equation, the linear stability of the model is investigated and Hopf bifurcation of the trivial equilibrium point is demonstrated. Periodic solutions bifurcating from the trivial equilibrium point are obtained analytically by using the Perturbation scheme without the normal form method and center manifold theory. Finally, numerical simulations well support the theoretical analysis. (C) 2018 Elsevier B.V. All rights reserved.
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