非线性自治系统中周期间的关系  

Relations between periods in nonlinear autonomous systems

作　　者：张晓明[1] 彭建华[2] 李平[3] 段文英[4] 

机构地区：[1]东北师范大学物理系,吉林长春130024 [2]深圳大学理学院,广东深圳518060 [3]吉林电力有限公司培训中心,吉林长春130062 [4]东北林业大学师范学院,黑龙江哈尔滨150040

出　　处：《东北师大学报（自然科学版）》2003年第2期28-34,共7页Journal of Northeast Normal University(Natural Science Edition)

基　　金：教育部高等学校骨干教师资助计划项目([2000]65);教育部科学技术研究重点项目([2000]00042);黑龙江省自然科学基金资助项目(2003A0205)

摘　　要：　用数值模拟方法对三维非线性自治系统进行了分析,结果发现:随着系统中衰减项参量变化,在同一周期状态内,系统的周期基本不变;在不同的周期状态之间,系统的周期具有近似简单倍数关系,或者说系统的其他频率与基频有近似简单分数关系.By analyzing numerically some three-dimensional nonlinear chaotic systems,it is found that the fundamental period and other period (stable and unstable)in these systems almost do not drift (within the same period)with the variety of damping parameters and the average period values of different periods almost have the simple approximate relationship,that is,there is a simple factional relationship between the fundamental frequency and other frequency.

关 键 词：混沌 自治系统 基本周期(频率) 

分 类 号：O451[理学—无线电物理]