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Fully Coupled Systems with Activator-Inhibitor States Linked within Homophilic Dynamically Evolving Networks

Published on Jul 02, 20123270 Views

Peter Grindrod

Function Prediction in Complex Networks 2012 - Kavli Royal Society Centre

Related categories

Network AnalysisMathematics

Chapter list

Fully coupled systems with activator-inhibitor states linked within homophilic dynamically evolving networks00:00
Centre for the Mathematics of Human Behaviour, University of Reading00:01
How does networking lead to instability?00:36
"New lamps for old"04:22
Stochastic Evolving Networks (1)04:46
Stochastic Evolving Networks (2)06:28
Activator-Inhibitor Processes09:32
Turing instability12:19
Fully Coupled - Deterministic13:17
N=2 and Schnackenberg Dynamics14:23
x1(t) inhibitor variable15:23
x1(t) and x2(t)15:50
a(t) coupling strength16:02
a versus (x1-x2) and (x1+x2) /216:28
a versus (x1-x2) and (y1-y2)16:56
Fully Coupled – Stochastic17:23
Inhibition variables18:32
2 D projection of evolving network19:07
Next steps ...21:12