Topological Structure of the Singular Points of the Third Order Phase Locked Loop Equations with the Character of Detected Phase Being g(φ)=(1+k)sinφ/(1+kcosφ)

Jin Jun

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1992 > 13(9): 849-854

Jin Jun. Topological Structure of the Singular Points of the Third Order Phase Locked Loop Equations with the Character of Detected Phase Being g(φ)=(1+k)sinφ/(1+kcosφ)[J]. Applied Mathematics and Mechanics, 1992, 13(9): 849-854.

Citation:

PDF( 377 KB)

Topological Structure of the Singular Points of the Third Order Phase Locked Loop Equations with the Character of Detected Phase Being g(φ)=(1+k)sinφ/(1+kcosφ)

Jin Jun

Shanghai Teachers University, Shanghai

Received Date: 1991-05-13
Publish Date: 1992-09-15

Abstract

Abstract

In this paper, we study the topological structure of the singular points of the third order phase locked loop equations with the character of detected phase being g(φ)=(1+k)sinφ/1+kcosφ.
- singular point,
- topological structure,
- character of detected phase,
- exponentially asymptotically stable,
- Jordan form

FullText(HTML)

References(5)

References

[1]	王联、王慕秋、陆志奇,具有正切鉴相特性的三阶锁相环路的定性分析,应用数学学报,7(5)(1984).
[2]	Lindsey,W.C.,Synchronization System in Communication and Control,Chapter 3,Prentice-Hall,Inc.Eiiglewood Cliffs,New Jersey(1972).16,121-122.
[3]	王联、王慕秋,《非线性常微分方程定性分析》,哈尔滨工业大学出版社(1987).
[4]	顾耀琪,《锁相》,科学出版社(1975).
[5]	秦元勋,《微分方程所定义的积分曲线》,上册,科学出版社(1959),