| 一类锁相环路方程的次谐波解与浑沌 |
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| 引用本文： | 王琳.一类锁相环路方程的次谐波解与浑沌[J].重庆邮电学院学报(自然科学版),1991,3(1):56-74. |
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| 作者姓名： | 王琳 |
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| 作者单位： | 重庆邮电学院基础部 |
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| 摘 要： | 本文用 Melnikov 方法研究了调频输入正弦合成锁相环路方程的次谐波解的存在性与浑沌(chaos)性质,讨论了分枝到 smale 马蹄的途径,给出了分枝到多重横截同(异)宿环型浑浊的条件,最后证明了 Birkhoff 吸引集合的存在性。
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| 关 键 词： | 锁相环路 次谐波解 通信 调频输入 |
The Existence of Subharmonic Solutions and Chaotic Behaviours of Periodically Forced Phase Locked Loops Equation |
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| Wang Lin.The Existence of Subharmonic Solutions and Chaotic Behaviours of Periodically Forced Phase Locked Loops Equation[J].Journal of Chongqing University of Posts and Telecommunications(Natural Sciences Edition),1991,3(1):56-74. |
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| Authors: | Wang Lin |
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| Institution: | Department of Basic Courses |
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| Abstract: | In this paper,by using Melnikov Method,We investigate the existence of subharmonic solutions and chaotic behaviour in the equation of phase-locked loops.We study the routes of horsehoes are created in parameter space.Various conditions of bifurcation to chaos can be obtained and the existence of Birkhoff attracting set can be proved. |
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| Keywords: | bifurcation chaos subharmonic solutions Birkhoff attracting set |
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