SYNCHRONIZATION OF COMPLEX NETWORKS WITH
NEGATIVE COUPLINGS
Jose Zapata
In this contribution the synchronization of complex
networks with some negative couplings is presented.
Generally, a fundamental condition for stability and
synchronization of complex networks is that the offdiagonal
elements in the connectivity matrix are nonnegative.
The aim of this contribution is to show by
means of a numerical example that the non-negativity
of such elements is not a necessary condition for stability
of the synchronized regime. We consider a network
with constant couplings but with different values and
some of them are negative. From where we state that
the condition c > |d/l_2| no longer applies simply because
c and l_2 are not independent.