Chaos and Bifurcation of Phase Locking Loops under Periodic Perturbation

Guo Rui-hai; Yuan Xiao-feng

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Guo Rui-hai, Yuan Xiao-feng. Chaos and Bifurcation of Phase Locking Loops under Periodic Perturbation[J]. Applied Mathematics and Mechanics, 1989, 10(11): 1026-1032.

Citation:

Guo Rui-hai, Yuan Xiao-feng. Chaos and Bifurcation of Phase Locking Loops under Periodic Perturbation[J]. Applied Mathematics and Mechanics, 1989, 10(11): 1026-1032.

Citation:

Guo Rui-hai, Yuan Xiao-feng. Chaos and Bifurcation of Phase Locking Loops under Periodic Perturbation[J]. Applied Mathematics and Mechanics, 1989, 10(11): 1026-1032.

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Chaos and Bifurcation of Phase Locking Loops under Periodic Perturbation

Guo Rui-hai¹,
Yuan Xiao-feng²

1.
Southwest Institute for Nationalities, Chengdu;
2.
Institute of Mathematical Sciences, Academia Sinica, Chengdu

Received Date: 1988-09-07
Publish Date: 1989-11-15

Abstract

Abstract

This paper discusses the chaos and bifurcation for equation . By use of the Melnikov method the conditions to have the chaotic behavior and to have subharmonic oscillations are given.

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References(4)

References

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[2]	陈兰荪,锁相技术中的一个微分方程,数学的实践与认识,3 (1973).
[3]	刘张炬、许连超,锁相环路方程的周期扰动,数学年刊,7A, 6 (I986).
[4]	Guckenheimer,J.and P.Holmes,Nonlinear Oscillations,Dynamical Systems,and Bifurcations of Vector Fields,Springer-Verlag(1983).