Social contagion on networks: groups and chaos.
Columbia University (moving to the University of Vermont, Fa
Last modified: March 31, 2006
I will present some observations regarding a simple model
of social contagion acting on random networks
and networks with group structure.
I will also show that on random networks,
for response functions that lead to chaotic
behavior in the mean-field version, period doubling can also
be tuned by network connectivity. For chaotic maps,
some preliminary results suggest that when individual
response functions are deterministic,
chaotic behavior is only transient and the system collapses
to a low period behavior.