振荡器的一种统一描述方法及其周期解的唯一性  

A unified description method of the oscillator and its periodic solution uniqueness conditions

作　　者：严刚峰[1] 严秀华 徐宁璟[1] 

机构地区：[1]成都大学电子信息工程学院,四川成都610106 [2]陕西飞机工业(集团)有限公司,陕西汉中723213

出　　处：《重庆邮电大学学报（自然科学版）》2013年第4期436-439,共4页Journal of Chongqing University of Posts and Telecommunications(Natural Science Edition)

基　　金：国家自然科学基金(11205022)~~

摘　　要：振荡器是电子线路中最为重要的电子器件之一,针对目前分析振荡器时,缺乏合理的描述方法,提出从理想振荡器的输出形式出发,得到了一种用非线性随机微分方程来描述振荡器行为的统一方法,并通过广泛使用的Pierce振荡器系统建模的过程,讨论了该模型的合理性。由于该模型只有唯一的周期解才符合振荡器系统的实际情况,采用星形曲线的相关理论,取相似变换,详细讨论了模型的周期解是唯一时,非线性项应具有的性质,给出了该模型周期解的唯一性条件,为模型的具体使用提供了依据。The oscillator is one of the most important electronic devices for electronic circuit.Since the lack of a reasonable description for analysis of the oscillator,based on the output pattern of ideal oscillator,a unified description model for oscillator is proposed by using nonlinear stochastic differential equation,by modeling process for Pierce oscillator system widely used,and the rationality of the model is discussed.Because it is consistent with the actual situation of oscillator systems that the model with unique periodic solution,by using theory of star curve and similarity transformation,we have discussed the properties of nonlinear term when periodic solution of the model is unique,and then give the unique conditions of periodic solutions for this model,providing the basis for the use of this model.

关 键 词：振荡器 周期解 唯一性 

分 类 号：TN6[电子电信—电路与系统]