Enhancement Of Spatiotemporal Regularity In An Window Based On Low Coupling Strength

Most existing case studies of coupled networks of dynamical elements indicate that features, such as degree of synchronization, vary monotonically with p. That is, it is observed that most dynamical properties interpolate between the limits of regular and random connections without in any sense being "optimal" or more pronounced at some intermediate value of p.In this paper, we will provide evidence of some system,like undirected logistic map and directed logistic map, where there exists a window of randomness where one obtains special dynamical features which cannot be anticipated from a simple interpolation between the regular and random limits. In particular, we will show the pronounced enhancement of spatiotemporal order in the system in an intermediate window of rewiring probability p.Our observations are markedly distinct from the commonly observed monotonic dependence of synchronization properties on p, as seen, for instance, in the strong-coupling regime of the very same system Spatiotemporal dynamics of a directed lattice of coupled chaotic maps whose coupling connections are dynamically rewired to random sites, and also different from those appear window in the value of p when in the low coupled strength but with undirected logistic maps. And at the same time, we have proposed two different methods when update the topology of the network, Pnet and Pnode, which did not reffered ever. And in the meanwhile, we have evidence of an optimal range of randomness in coupling connections, where spatiotemporal regularity is more efficiently obtained by Pnet than Pnode methods. Further,in this paper,we have found that the window size of p values is greatly affected by dynamic update frequency. This is a way of selectting Network Topologies you want after random choosing sites in coupling connections. That is, the frequency of dynamic updating network topology can control the optimal window size, which is both applied to the two methos Pnet and Pnode in the directed time-varying network.