Synchronization of electrochemical oscillators with differential coupling.
Synchronization of electrochemical oscillators with differential coupling.
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DOI：
10.1103/physreve.88.062911
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发表时间：
2013-12
期刊：
影响因子：
--
通讯作者：
M. Wickramasinghe;I. Kiss
中科院分区：
文献类型：
--
作者：
M. Wickramasinghe;I. Kiss
实验描述了镍在硫酸溶液中溶解过程中两个电化学振荡器的电容耦合效应。等效电路分析表明，振荡器之间的耦合是通过电极电位的微分之间的差异发生的。耦合的微分性质引入了强的负非等时性（即，相位剪切，周期对振幅的强依赖性）的耦合机制与光滑振荡器（条件下，刚好高于一个霍普夫分岔点）。由于负的非等时性，非对称耦合振子表现出频率差增强形式的反常相位同步。在强耦合下，在同相和反相同步态之间观察到双稳态。与可以发生反相同步的电阻耦合相反，对于弛张振荡器，具有弱耦合的典型系统响应是异相同步。当电容施加在连接到电极的单个电阻上时，振荡器表现出弱的正非等时性;这与交叉耦合获得的强负非等时性相反。所提出的耦合配置揭示了实验观察到的同步模式的振荡的非等时性水平的重要性，也提供了有效的方法调谐的振荡的非等时性水平。后一个特征可以被利用来设计具有电阻（差分）和电容（差分）耦合的组合的同步特征。
Experiments are presented to describe the effect of capacitive coupling of two electrochemical oscillators during Ni dissolution in sulfuric acid solution. Equivalent circuit analysis shows that the coupling between the oscillators occurs through the difference between the differentials of the electrode potentials. The differential nature of the coupling introduces strong negative nonisochronicity (i.e., phase shear, strong dependence of the period on the amplitude) in the coupling mechanism with smooth oscillators (under conditions just above a Hopf bifurcation point). Because of the negative nonisochronicity, asymmetrically coupled oscillators exhibit anomalous phase synchronization in the form of frequency difference enhancement. At strong coupling bistability is observed between in-phase and antiphase synchronized states. With relaxation oscillators, in contrast to the resistive coupling where antiphase synchronization can occur, the typical system response with weak coupling is out-of-phase synchronization. When the capacitance is applied on the individual resistors attached to the electrodes the oscillators exhibit weak positive nonisochronicity; this is in contrast with the strong negative nonisochronicity obtained with cross coupling. The proposed coupling configurations reveal the importance of the nonisochronicity level of oscillations for the experimentally observed synchronization patterns and also provide efficient ways of tuning the nonisochronicity level of the oscillations. This latter feature can be exploited to design synchronization features with a combination of resistive (difference) and capacitive (differential) coupling.