Journal
APPLIED MATHEMATICS AND COMPUTATION
Volume 213, Issue 2, Pages 587-599Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.amc.2009.03.052
Keywords
Ring network; Linear stability; Hopf bifurcation; Characteristic equation
Categories
Funding
- National Natural Science Foundation of China [10771055, 60835004]
- Key Project of Hunan Province Programs for Applied Fundamental Research [2008FJ2008]
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We consider a four-neuron ring with self-feedback and delays. By analyzing the associated characteristic equation, linear stability is investigated and Hopf bifurcations are demonstrated, as well as the stability and direction of the Hopf bifurcation are determined by employing the normal form method and the center manifold reduction. Numerical simulations are presented to illustrate the results. (C) 2009 Elsevier Inc. All rights reserved.
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