Researches on Chaos and Fractal of the Coupled Logistic Map
二维Logistic映射中混沌与分形的研究

In this paper,we analyze some general features of the nonlinear dynamic activities of the Coupled Logistic Map.We find that,for the difference of the selected values of the three control parameters,chaotic patterns of the Coupled Logistic Map may emerge out of Feigenbaum route ,the Ruelle Takens Newhouse Scenario and Pomeau Manneville route respectively.However,there exist large regions of control parameter space where the approaches to chaos have something to do with Hope bifurcation and we can observe phase locking and quasiperiodic motion on these routes.At the same time, the researches on the fractal images of the Coupled Logistic Map make it clear that when the control parameters are different,the fractal images are different from each other and these fractal images exhibit the fractal property of self similarity.