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.
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.
Chaos and Bifurcation of Phase Locking Loops under Periodic Perturbation
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
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.
References
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Viterbi,A.T.,Principles of Coherent Communications(1970).
[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).
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