脉冲激励下环形耦合Duffing振子间的瞬态同步突变现象
Transient synchronization mutation of ring coupled Duffing oscillators driven by pulse signal
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摘要: 研究非周期信号激励下Duffing振子动力学行为变化特征时,发现处于倍周期分岔的环形耦合Duffing振子系统,在一定的参数条件下,脉冲信号能引起其中一个振子与其他振子运动轨迹间出现短暂失同步的现象即瞬态同步突变现象.利用这种现象可以快速检测出强噪声背景中的微弱脉冲信号,从而扩展了现有的Duffing振子对非周期信号的检测范围及应用领域.Abstract: The dynamic behavior of ring coupled Duffing oscillators driven by non-periodic signal is investigated,a phenomenon is discovered,which shows that when ring coupled Duffing oscillators are in the period-doubling bifurcation phase state and one of the oscillators is driven by pulse signal under certain parameter conditions,this oscillator and the other oscillators suddenly change from synchronization to transient non-synchronization and then rapidly return to synchronization,which is defined as transient synchronization mutation.This phenomenon can be used to accurately detect weak pulse signal in strong noise environments,which can further extend the weak signal detection range based on the Duffing oscillator.
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