一类动力系统的不动点和分岔

Fixed Point and Bifurcation for Some Dynamic Systems

证明了一类非线性离散动力系统不动点的两个判别方法 ,具体分析了两个不同类型的离散动力系统的不动点性质及其分岔特性 .利用 Matlab软件借助计算机验证了所得结论 ,并模拟了相应动力系统的 Feigenbaum第一定律 .

Some nonlinear discrete dynamic systems are considered,and two discriminating methods of the fixed point are proved.The bifurcation behavior of the corresponding dynamic systems is also studied.Furthermore,the research conclusions are verified by taking advantage of a computer and Matlab software.Specially,the Feigenbaum's first law for two concrete discrete dynamic systems is stimulated.