SUCCESSIVE HIGHER-HARMONIC BIFURCATIONS IN SYSTEMS WITH DELAYED FEEDBACK

SUCCESSIVE HIGHER-HARMONIC BIFURCATIONS IN SYSTEMS WITH DELAYED FEEDBACK
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DOI:
10.1103/physrevlett.49.1467
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发表时间:
1982-01-01
影响因子:
8.6
通讯作者:
AKIMOTO, O
AKIMOTO, O
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
IKEDA, K;KONDO, K;AKIMOTO, O

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研究了一类时滞微分方程所描述的系统的分岔格式。结果表明,在向发达混沌过渡的过程中,高次谐波振荡态相继出现。这些状态之间的一阶跃迁解释了Hopf等人最近在混合光学双稳器件中观察到的频率锁定异常。
The scheme of bifurcations in systems described by a certain class of delay-differential equations is investigated in detail. It is shown that higher-harmonic oscillating states appear successively in the course of transition to developed chaos. First-order transitions between these states account for the frequency-locked anomaly recently observed by Hopf et al. in a hybrid optical bistable device.