Global periodic attractor of a class of third-order phase-locked loop

Yuanqu Lin

doi:10.1007/bf02878693

Global periodic attractor of a class of third-order phase-locked loop

Science in China Series A Mathematics ◽

10.1007/bf02878693 ◽

1997 ◽

Vol 40 (7) ◽

pp. 707-713

Author(s):

Yuanqu Lin

Keyword(s):

Phase Locked Loop ◽

Periodic Attractor ◽

Third Order ◽

Global Periodic Attractor

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Global periodic attractor of a third-order phase-locked loop

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/bf02677429 ◽

1998 ◽

Vol 14 (2) ◽

pp. 212-217

Author(s):

Lin Yuanqu

Keyword(s):

Phase Locked Loop ◽

Periodic Attractor ◽

Third Order ◽

Global Periodic Attractor

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A novel high precision Doppler frequency estimation method based on the third-order phase-locked loop

Research in Astronomy and Astrophysics ◽

10.1088/1674-4527/21/9/221 ◽

2021 ◽

Vol 21 (9) ◽

pp. 221

Author(s):

Tao Deng ◽

Mao-Li Ma ◽

Qing-Hui Liu ◽

Ya-Jun Wu

Keyword(s):

High Precision ◽

Frequency Estimation ◽

Estimation Method ◽

Doppler Frequency ◽

Phase Locked Loop ◽

Third Order ◽

The Third ◽

Doppler Frequency Estimation

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Phase Locked Loop Based on Third Order SSI for Compensation of Voltage-Related Power Quality Issues Using DVR

Electric Power Components and Systems ◽

10.1080/15325008.2019.1590747 ◽

2019 ◽

Vol 47 (4-5) ◽

pp. 329-344 ◽

Cited By ~ 1

Author(s):

Talada Appala Naidu ◽

Sabha Raj Arya ◽

Rakesh Maurya

Keyword(s):

Power Quality ◽

Phase Locked Loop ◽

Third Order ◽

Quality Issues

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Hopf bifurcation and chaos in a third-order phase-locked loop

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2016.06.001 ◽

2017 ◽

Vol 42 ◽

pp. 178-186 ◽

Cited By ~ 6

Author(s):

José Roberto C. Piqueira

Keyword(s):

Hopf Bifurcation ◽

Phase Locked Loop ◽

Third Order ◽

Bifurcation And Chaos

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Stability Analysis of an Nth Power Digital Phase-Locked Loop - Part II: Second- and Third-Order DPLL's

IEEE Transactions on Communications ◽

10.1109/tcom.1980.1094772 ◽

1980 ◽

Vol 28 (8) ◽

pp. 1355-1364 ◽

Cited By ~ 45

Author(s):

H. Osborne

Keyword(s):

Stability Analysis ◽

Phase Locked Loop ◽

Third Order ◽

Digital Phase

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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)

Applied Mathematics and Mechanics ◽

10.1007/bf02481807 ◽

1992 ◽

Vol 13 (9) ◽

pp. 883-889

Author(s):

Jin Jun

Keyword(s):

Topological Structure ◽

Phase Locked Loop ◽

Singular Points ◽

Third Order ◽

The Third

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Third-order digital phase-locked loop with improved stability

Electronics and Communications in Japan (Part II Electronics) ◽

10.1002/ecjb.4420700801 ◽

1987 ◽

Vol 70 (8) ◽

pp. 1-11

Author(s):

Shoichiro Yamasaki ◽

Masao Nakagawa

Keyword(s):

Phase Locked Loop ◽

Third Order ◽

Digital Phase ◽

Improved Stability

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Global periodic attractor for a model of forest with diffusion and seasonal effects

Chinese Science Bulletin ◽

10.1007/bf02882941 ◽

1997 ◽

Vol 42 (24) ◽

pp. 2046-2047 ◽

Cited By ~ 1

Author(s):

Yuanqu Lin

Keyword(s):

Seasonal Effects ◽

Periodic Attractor ◽

Global Periodic Attractor

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Frequency-to-digital conversion based on sampled phase-locked loop with third-order noise shaping

Electronics Letters ◽

10.1049/el.2011.1524 ◽

2011 ◽

Vol 47 (19) ◽

pp. 1069 ◽

Cited By ~ 4

Author(s):

F. Colodro ◽

A. Torralba

Keyword(s):

Phase Locked Loop ◽

Noise Shaping ◽

Third Order ◽

Digital Conversion

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Global periodic attractor for strongly damped wave equations with time-periodic driving force

Journal of Mathematical Physics ◽

10.1063/1.1775873 ◽

2004 ◽

Vol 45 (9) ◽

pp. 3462-3467 ◽

Cited By ~ 6

Author(s):

Hongyan Li ◽

Shengfan Zhou ◽

Fuqi Yin

Keyword(s):

Driving Force ◽

Wave Equations ◽

Periodic Attractor ◽

Global Periodic Attractor ◽

Time Periodic ◽

Strongly Damped

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