TY - JOUR
T1 - Further Analysis of Global Synchronisation for Networks of Identical Cells with Delayed Coupling
AU - Li , Chun-Hsien
AU - Chen , Ren-Chuen
JO - East Asian Journal on Applied Mathematics
VL - 3
SP - 238
EP - 255
PY - 2018
DA - 2018/02
SN - 5
DO - http://doi.org/10.4208/eajam.300115.140715a
UR - https://global-sci.org/intro/article_detail/eajam/10803.html
KW - Synchronisation, complex networks, coupled system, time delay.
AB - <p style="text-align: justify;">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.</p>