正弦锁相环路方程周期扰动下的浑沌与分枝*
Chaos and Bifurcation of Phase Locking Loops under Periodic Perturbation
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摘要: 本文讨论方程的浑沌与分枝.利用Melnikov方法确定出了产生浑沌与次谐波分枝的条件.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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[1] 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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