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Resonance synchronisation between memristive oscillators and network without variable coupling
Pramana ( IF 1.9 ) Pub Date : 2021-03-23 , DOI: 10.1007/s12043-020-02073-x
Yin Zhang , Ping Zhou , Zhao Yao , Jun Ma

Continuous energy pumping and exchange along the coupling channel can balance the energy release between nonlinear oscillators for reaching complete synchronisation. When external stimulus is applied, energy is injected and encoded for regulating the dynamics of nonlinear oscillators and circuits. In this paper, the synchronisation between memristive Rössler oscillators is investigated by reactivating one memristive variable, and external stimuli are changed to detect the occurrence of synchronisation without direct variable coupling. In the presence of periodical stimulus, stochastic switch and feedback on the memristive variable can induce synchronisation between two memristive oscillators and chain network composed of memristive oscillators. In the presence of noise, stochastic feedback and disturbance on the memristive variable can keep synchronisation stable between two oscillators, and complete synchronisation is realised. In addition, the synchronisation factor and spatial patterns are calculated to confirm the occurrence of synchronisation between more chaotic oscillators when memristive function is activated even when no coupling channels are switched on.



中文翻译:

忆阻振荡器和网络之间的谐振同步,无需变量耦合

沿着耦合通道进行连续的能量泵送和交换可以平衡非线性振荡器之间的能量释放,以实现完全同步。当施加外部刺激时,能量被注入并被编码以调节非线性振荡器和电路的动态。在本文中,通过重新激活一个忆阻变量来研究忆阻Rössler振荡器之间的同步,并通过改变外部激励来检测同步的发生而无需直接变量耦合。在存在周期性刺激的情况下,对忆阻变量的随机切换和反馈会引起两个忆阻振荡器和由忆阻振荡器组成的链网络之间的同步。在有噪音的情况下 忆阻变量的随机反馈和干扰可以使两个振荡器之间的同步保持稳定,并实现完全同步。另外,计算了同步因数和空间模式,以确认即使在没有耦合通道接通的情况下,当忆阻功能被激活时,更多混沌振荡器之间也会发生同步。

更新日期:2021-03-23
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