| Abstract: | Synchronisation is one of the most interesting collective motions observed in
large-scale complex networks of interacting dynamical systems. We consider global synchronisation
for networks of nonlinearly coupled identical cells with time delays, using
an approach where the synchronisation problem is converted to solving an homogeneous
linear system. This approach is extended to fit networks under more general coupling
topologies, and we derive four delay-dependent and delay-independent criteria that ensure
the coupled dynamical network is globally synchronised. Some examples show that
the four criteria are not mutually inclusive, and numerical simulations also demonstrate
our theoretical results. |
