用参数调整控制超混沌

Controlling Hyperchaos in Planar Systems by Adjusting Parameters

对于一类两参数平面映射族,给出了一种稳定嵌入在超混沌中不只有稳定流形的不稳定不动点的方法。这种方法是通过在每一步迭代中调节两个参数来实现。不仅得到了参数调节的显示,并且给出了方法收效性的数学证明。

For the two-parameter family of planar mapping,a method to stabilize an unstable fixed point without stable manifold embedding in hyperchaos is introduced. It works by adjusting the two parameters in each iteration of the map. The explicit expressions for the parameter adjustments are derived,and strict proof of convergence for method is given.