拟周期运动的逼近理论及其在电子学系统中的实现

The Approximating Theory of Quasi-Periodic Motion and the Verification in an Electronic System

非线性动力学系统中由拟周期运动走向混沌的道路在理论上已为人们所公认。本文为识别拟周期与混沌运动提供了定性判据,根据数论中有理数序列逼近无理数的原理,给出了获得混沌电子学系统中拟周期运动的一种物理实验方法和例证。

The route of transition from quasi-periodicity to chaotic motion in nonlinear dynamical systems has been well accepted theoretically. The paper presents a qualitative criterion of distinquishing quasi-periodicity from chaotic motions. Based on the principle in the number theory that rational number sequence can approximate an irrational number, a physical experiment method and the evidences of quasi-periodicity motions in the chaotic electronic systems are given.