Dynamics of electrochemical oscillators with electrode size disparity: asymmetrical coupling and anomalous phase synchronization

Wickramasinghe, Mahesh; Mrugacz, Emily M.; Kiss, István Z.

doi:10.1039/c1cp21429b

Cited by 19 publications

(28 citation statements)

References 67 publications

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“…For example, in pairs of asymmetrically coupled oscillators "anomalous" phase synchronization effects were reported in the form of advanced or delayed synchronization and frequency difference enhancement or inversion [25,27,30,31]; in globally coupled oscillators diffusion-induced inhomogeneity can occur in the form of periodic or quasiperiodic amplitude clusters [28]. In a previous work [32], by increasing the temperature of oscillatory Ni dissolution from 10 to 20 • C, nonisochronicity of asymmetrically coupled oscillators resulted in advanced or delayed synchronization depending on the relative frequencies of the driver and follower oscillators.…”

Section: Introductionmentioning

confidence: 95%

Synchronization of electrochemical oscillators with differential coupling

Wickramasinghe

Kiss

2013

Phys. Rev. E

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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.

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Section: Introductionmentioning

confidence: 95%

Synchronization of electrochemical oscillators with differential coupling

Wickramasinghe

Kiss

2013

Phys. Rev. E

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“…Previous studies with electrochemical systems [19,20,27] theoretical and experimental studies, it was demonstrated that such a reduced system could produce all the rich dynamics of the original network despite its simpler form.…”

Section: Star Network Of Coupled Bistable Lasersmentioning

confidence: 99%

Localized patterns in star networks of class-B lasers with optoelectronic feedback

et al. 2018

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We analyze how a star network topology shapes the dynamics of coupled CO 2 lasers with an intracavity electro-optic modulator that exhibit bistability. Such a network supports spreading and stationary activation patterns. In particular, we observe an activation spreading where the activated periphery turns on the center element, an activated center which drifts the periphery into the active region and an activation of the whole system from the passive into the active region.Pinned activation, namely activation localized only in the center or the peripheral elements is also found. Similar dynamical behavior has been observed recently in complex networks of coupled bistable chemical reactions. The current work aims at revealing those phenomena in laser arrays, giving emphasis on the essential role of the coupling structure in fashioning the overall dynamics. * hizanidis@physics.uoc.gr 1 arXiv:1807.04038v1 [nlin.CD]

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“…These oscillators, detailed in Supplemental Material Sec. S3 [31] along with sample experimental trajectories, are described by m = 2 degrees of freedom, which represent the electrode potential and the concentration of the electroactive species in the vicinity of the electrode [32]. Unlike Stuart-Landau oscillators, the limit cycle in this case is not circular in the state space, and thus the phase is a complicated function that we will not attempt to describe analytically.…”

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confidence: 99%

Coherent Dynamics Enhanced by Uncorrelated Noise

et al. 2020

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Synchronization is a widespread phenomenon observed in physical, biological, and social networks, which persists even under the influence of strong noise. Previous research on oscillators subject to common noise has shown that noise can actually facilitate synchronization, as correlations in the dynamics can be inherited from the noise itself. However, in many spatially distributed networks, such as the mammalian circadian system, the noise that different oscillators experience can be effectively uncorrelated. Here, we show that uncorrelated noise can in fact enhance synchronization when the oscillators are coupled. Strikingly, our analysis also shows that uncorrelated noise can be more effective than common noise in enhancing synchronization. We first establish these results theoretically for phase and phase-amplitude oscillators subject to either or both additive and multiplicative noise. We then confirm the predictions through experiments on coupled electrochemical oscillators. Our findings suggest that uncorrelated noise can promote rather than inhibit coherence in natural systems and that the same effect can be harnessed in engineered systems.

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Dynamics of electrochemical oscillators with electrode size disparity: asymmetrical coupling and anomalous phase synchronization

Cited by 19 publications

References 67 publications

Synchronization of electrochemical oscillators with differential coupling

Synchronization of electrochemical oscillators with differential coupling

Localized patterns in star networks of class-B lasers with optoelectronic feedback

Coherent Dynamics Enhanced by Uncorrelated Noise

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