Browsing Applied Mathematics by Author "Chen, Liang"
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Collective Dynamics of Large-Scale Spiking Neural Networks by Mean-Field Theory
Chen, Liang (University of Waterloo, 2024-05-31)The brain contains a large number of neurons, each of which typically has thousands of synaptic connections. Its functionality, whether function or dysfunction, depends on the emergent collective dynamics arising from the ... -
Hysteresis bifurcation and application to delayed FitzHugh-Nagumo neural systems
Chen, Liang; Campbell, Sue Ann (Elsevier, 2021-08)Hysteresis dynamics has been described in a vast number of biological experimental studies. Many such studies are phenomenological and a mathematical appreciation has not attracted enough attention. In the paper, we explore ... -
The Impact of Small Time Delays on the Onset of Oscillations and Synchrony in Brain Networks
Al-Darabsah, Islam; Chen, Liang; Nicola, Wilten; Campbell, Sue Ann (Frontiers Publishing, 2021-07)The human brain constitutes one of the most advanced networks produced by nature, consisting of billions of neurons communicating with each other. However, this communication is not in real-time, with different communication ...