Table 8.

Link between coupling strength c, relative synchronization error bound $\mathit{\chi }$, and mean value of the group synchronization ${\mathit{\rho }}_g$ in a simple connected weighted network of $N=5$ heterogeneous RvdP oscillators connected through full state coupling

c	$\mathit{\chi }$	${\mathit{\rho }}_g$
0.030	0.93	0.6394
0.040	0.81	0.7770
0.060	0.60	0.9056
0.070	0.51	0.9202
0.085	0.44	0.9236
0.150	0.30	0.9447
0.200	0.26	0.9791
0.300	0.19	0.9974
1.450	0.06	0.9999

Note that, for all the different values of c, the group synchronization index has been averaged over only the first 150 s of the simulation, despite its total duration being $T=500$ s. This has been necessary in order to appreciate the quantitative difference of the coordination level during the transient before ${\mathit{\rho }}_g(t)$ reaches a value almost equal to unity at steady-state