跳跃随机性在倍周期分岔运动中的表现

动力学系统中分岔与混沌现象产生的必要条件之一，就是该系统必须是非线性的。而该系统中的非线性元件和非线性函数项有一个特殊性质，即跳跃随机性。跳跃随机性是确定的非线性函数项和确定的非线性元件所特有的内随机源。作者通过二阶单结管电路的实验及对其数学模型进行的计算机计算，观察了在倍周期分岔和混沌运动中，非线性函数项和非线性元件所表现的跳跃随机性及跳跃随机曲线的某些特点和规律。

The jump stochasticity property in the period-doubling to chaos process

The necessary condition of presenting bifurcation and chaos phenomena in dynamic systems is that the systems are nonlinear ones. But the nonlinear element and nonlinear function of such systems have are a special property, namely the jump stochasticity property. The jump stochasticity property is due to an intrinsic stochasticity source which belongs to both deterministic nonlinear element and nonlinear function. By computer simulation and laboratory experiment it is shown that the jump stochasticity of both nonlinear element and nonlinear function is shown some regularitys well as special features.