Sierpinski Network Synchronization And Control

Based on the Sierpinski gasket fractal network model, by defining active triangle get three different Sierpinski network models, calculated the Sierpinski network topology characteristics, and studied the three different network synchronization and control. This paper mainly divided into the following several parts:The first part briefly introduced the research progress of complex network, the structure of the Sierpinski gasket fractal process and method of complex network synchronization and control.The second part establish the Sierpinski gasket fractal network model——Sierpinski uncertainty scale-free network model(S-DFSN). Calculated the average degree, degree distribution, average path length and clustering coefficient of the S-DSFN network model.The third part to Chen equation as the coupling oscillator of network nodes, get the S-DSFN dynamic network model. Using the method of control variable accomplished the S-DSFN dynamic network synchronization; Using adaptive control method, to Chen equation of a stable steady state as the goal, accomplished the S-DSFN dynamic network control.Fourth part using the method of control variables simulated the Sierpinski gasket fractal evolution uncertainty unified model(S-DUN) and small world network model(S-DSWN) dynamic network synchronization and control process, numerical simulation in different coupling strength and the random add edge cases, the two network synchronization and control process.