Bogdanov-takens singularity in tri-neuron network with time delay

He, X, Li, C, Huang, T and Li, C 2013, 'Bogdanov-takens singularity in tri-neuron network with time delay', IEEE Transactions on Neural Networks and Learning Systems, vol. 24, no. 6, pp. 1001-1007.


Document type: Journal Article
Collection: Journal Articles

Title Bogdanov-takens singularity in tri-neuron network with time delay
Author(s) He, X
Li, C
Huang, T
Li, C
Year 2013
Journal name IEEE Transactions on Neural Networks and Learning Systems
Volume number 24
Issue number 6
Start page 1001
End page 1007
Total pages 7
Publisher IEEE
Abstract This brief reports a retarded functional differential equation modeling tri-neuron network with time delay. The Bogdanov-Takens (B-T) bifurcation is investigated by using the center manifold reduction and the normal form method. We get the versal unfolding of the norm forms at the B-T singularity and show that the model can exhibit pitchfork, Hopf, homoclinic, and double-limit cycles bifurcations. Some numerical simulations are given to support the analytic results and explore chaotic dynamics. Finally, an algorithm is given to show that chaotic tri-neuron networks can be used for encrypting a color image.
Subject Neurocognitive Patterns and Neural Networks
Keyword(s) Bogdanov-Takens bifurcation
homoclinic bifurcation
tri-neuron network
DOI - identifier 10.1109/TNNLS.2013.2238681
Copyright notice © 2012 IEEE
ISSN 2162-237X
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