We study spatiotemporal synchronization under complex network of diffusively coupled chaotic modified logistic map. In modified logistic map a new parameter is introduced such that nonlinear term is in fractional power. The complex network is dynamic whose coupling connections change stochastically in time. Here we investigate the spatiotemporal dynamics of coupled modified logistic maps whose coupling connections are rewired randomly, and we determine (1) the effects of variation of newly induced parameter \(\beta \), (2) the effects of variation of low and high rewiring probability, (3) the effects of variation of growth rate r and (4) the effects of variation of different randomness and linear stability analysis of the synchronized steady-state solution. We have calculated analytically the critical coupling coefficient for the transition to spatiotemporal regularity of the lattice. The analytical results match well with the numerical simulation results. The variation of the basin size with respect to coupling strength and rewiring probability with various randomness and coupling is plotted. The simulation results do not change significantly with the variation of lattice sizes.

我们研究了扩散耦合混沌修改后的逻辑图的复杂网络下的时空同步。在修改的逻辑映射中，引入了一个新参数，以使非线性项处于分数幂状态。复杂的网络是动态的，其耦合连接随时间随机变化。在这里，我们研究耦合修改后的逻辑图的时空动力学，其耦合连接随机重排，我们确定（1）新引入参数\（\ beta \）的变化的影响，（2）低和高变化的影响重新布线的概率，（3）增长率r的变化的影响（4）不同随机性变化的影响以及同步稳态解的线性稳定性分析。我们已经计算出了转变为晶格的时空规则性的临界耦合系数。分析结果与数值模拟结果非常吻合。绘制了盆尺寸相对于耦合强度和重新布线概率的变化，以及各种随机性和耦合。仿真结果不会随着晶格尺寸的变化而显着变化。