Stability and Hopf bifurcation analysis of a complex-valued Wilson–Cowan neural network with time delay

2018 ◽  
Vol 115 ◽  
pp. 45-61 ◽  
Author(s):  
Conghuan JI ◽  
Yuanhua QIAO ◽  
Jun MIAO ◽  
Lijuan DUAN
Keyword(s):  
Neural Network ◽  
Hopf Bifurcation ◽  
Time Delay ◽  
Bifurcation Analysis ◽  
Complex Valued

Time-delay-induced instabilities and Hopf bifurcation analysis in 2-neuron network model with reaction–diffusion term

2018 ◽  
Vol 313 ◽  
pp. 306-315 ◽  
Author(s):  
Swati Tyagi ◽  
Subit K Jain ◽  
Syed Abbas ◽  
Shahlar Meherrem ◽  
Rajendra K Ray
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Network Model ◽  
Bifurcation Analysis ◽  
Reaction Diffusion ◽  
Neuron Network ◽  
Diffusion Term

BIFURCATION ANALYSIS OF A DETRITUS-BASED ECOSYSTEM WITH TIME DELAY

2000 ◽  
Vol 08 (03) ◽  
pp. 255-261 ◽  
Author(s):  
DEBASIS MUKHERJEE ◽  
SANTANU RAY ◽  
DILIP KUMAR SINHA
Keyword(s):  
Hopf Bifurcation ◽  
Time Delay ◽  
Bifurcation Analysis ◽  
Local Stability ◽  
Mangrove Ecosystem ◽  
Stability Criteria ◽  
Delay Effect

This article concentrates on the study of delay effect of a mangrove ecosystem of detritus, detritivores and predator of detritivores. Local stability criteria are derived in the absence of delays. Conditions are found out for which the system undergoes a Hopf bifurcation. Further conditions are derived for which there can be no change in stability.

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