基于电路模型的标准圆周映射及其实验研究  

Standard circle map based on circuit model and its experiment study

作　　者：张新国[1] 夏春水[1] 刘映杰[1] 王兆滨[1] 敦建征[1] 

机构地区：[1]兰州大学信息科学与工程学院电路与系统研究所,甘肃兰州730000

出　　处：《电路与系统学报》2008年第5期95-97,94,共4页Journal of Circuits and Systems

基　　金：甘肃省自然科学基金资助项目(3ZS041-A25-017)

摘　　要：通过两个电压振荡器相互耦合,得到标准圆周映射的公式,实验是在普通LC振荡电路上注入正弦波信号,观察其频率牵引,结果发现,振荡器若有了外界周期性的非线性耦合,其稳定振荡的相位与频率脱离了原来的固有值,振荡器的混沌运动极易观察到;该实验很好地验证了圆周映射中的同步锁频与混沌现象。The formula of standard circle map is deduced from two coupled voltage oscillators. The phenomenon of its frequency pulling is observed when a sine wave is put into a common LC oscillator. The experimental result shows that with the nonlinear coupling of an outside periodic signal, the oscillator＇ phase and frequency have to depart from its inherent value and its chaos movement is observed easily. The experiment exactly validates the phenomenon of frequency pulling and chaos in the circle map.

关 键 词：圆周映射 振荡 同步 频率牵引 电路混沌 

分 类 号：TN710.4[电子电信—电路与系统]