A Fractional-Order Phase-Locked Loop with Time-Delay and Its Hopf Bifurcation

被引：0

作者：

俞亚娟 ^{[1
,2
]}

王在华 ^{[1
,3
]}

机构：

[1] State Key Laboratory of Mechanics and Control of Mechanical Structures,Nanjing University of Aeronautics and Astronautics

[2] School of Mathematics and Physics,Changzhou University

[3] Institute of Science,PLA University of Science and

来源：

Chinese Physics Letters | 2013年 / 30卷 / 11期

关键词：

D O I：

暂无

中图分类号：

O415.5 [混沌理论];

学科分类号：

摘要：

A fractional-order phase-locked loop(PLL) with a time-delay is firstly proposed on the basis of the fact that a capacitor has memory.The existence of Hopf bifurcation of the fractional-order PLL with a time-delay is investigated by studying the root location of the characteristic equation,and the bifurcated periodic solution and its stability are studied simply by using "pseudo-oscillator analysis".The results are checked by numerical simulation.It is found that the fractional-order PLL with a time-delay reduces the locking time,and it minimizes the amplitude of the bifurcated periodic solution when the order is properly chosen.

引用

页码：5 / 9

页数：5

共 50 条

[1] A Fractional-Order Phase-Locked Loop with Time-Delay and Its Hopf Bifurcation
Yu Ya-Juan
Wang Zai-Hua
CHINESE PHYSICS LETTERS, 2013, 30 (11)
[2] Fractional-order phase-locked loop
El-Khazali, Reyad
Ahmad, Wajdi
2007 9TH INTERNATIONAL SYMPOSIUM ON SIGNAL PROCESSING AND ITS APPLICATIONS, VOLS 1-3, 2007, : 1326 - +
[3] Fractional-order digital phase-locked loop
El-Khazali, Reyad
2007 14TH IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS AND SYSTEMS, VOLS 1-4, 2007, : 963 - 966
[4] NOISE PERFORMANCE OF FRACTIONAL-ORDER PHASE-LOCKED LOOP
El-Khazali, Reyad
Ahmad, Wajdi
Memon, Zulfiqar A.
ICSPC: 2007 IEEE INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING AND COMMUNICATIONS, VOLS 1-3, PROCEEDINGS, 2007, : 572 - +
[5] HOPF BIFURCATION OF THE FRACTIONAL-ORDER HINDMARSH-ROSE NEURON MODEL WITH TIME-DELAY
Shi, Min
Yu, Yajuan
Xu, Qi
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2020, 50 (06) : 2213 - 2222
[6] Hopf bifurcation and chaos in a third-order phase-locked loop
Piqueira, Jose Roberto C.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2017, 42 : 178 - 186
[7] OPTIMIZATION OF PHASE-LOCKED LOOP WITH VARIABLE TIME-DELAY
BRUNK, M
NACHRICHTENTECHNISCHE ZEITSCHRIFT, 1973, 26 (11): : 508 - 513
[8] Stability and Hopf Bifurcation of Fractional-Order Complex-Valued Neural Networks With Time-Delay
Wang, Xiaohong
Wang, Zhen
Zhu, Xianggeng
Meng, Bo
Xia, Jianwei
IEEE ACCESS, 2019, 7 : 158798 - 158807
[9] Design and performance study of phase-locked loop using fractional-order loop filter
Tripathy, Madhab Chandra
Mondal, Debasmita
Biswas, Karabi
Sen, Siddhartha
INTERNATIONAL JOURNAL OF CIRCUIT THEORY AND APPLICATIONS, 2015, 43 (06) : 776 - 792
[10] Stability and Hopf Bifurcation Analysis of a Fractional-Order Epidemic Model with Time Delay
Wang, Zhen
Wang, Xinhe
MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018

← 1 2 3 4 5 →