Study of the forced Ni|1 M H2SO4 oscillator

Berthier, F.; Diard, J.‐P.; Gorrec, B. Le; Montella, C.

doi:10.1016/j.jelechem.2003.10.047

Cited by 9 publications

(8 citation statements)

References 47 publications

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“…The anodic dissolution of nickel in H 2 SO 4 under galvanostatic conditions was modified to become the forced oscillator, in a way described by Berthier et al [99]. This system was chosen as the one showing the typical features of classical , t), (c) concentration c(x, t); (d) capacitive current density j C (x, t); x and t are dimensionless distance and time, respectively.…”

Section: The Forced Ni/h 2 So 4 Oscillatormentioning

confidence: 99%

“…Further details of the theoretical and experimental characteristics of the Ni/1 M H 2 SO 4 oscillator, including, among others, the description of mode locking in terms of the so-called Arnold tounges (here, the areas plotted in the dj f vs. o/o 0 representation), and the unexpected impedance spectra recorded for controlled current conditions in the biperiodic region, the reader can find in the original reference [99].…”

Section: The Forced Ni/h 2 So 4 Oscillatormentioning

confidence: 99%

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Cooperative Dynamics of Coupled and Forced Oscillators

Orlik

2012

Self-Organization in Electrochemical Systems II

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The formation of dissipative patterns on electrode surfaces is related to various kinds of spatial couplings that interact with the electrochemical process in a way dependent, among others, on the geometrical arrangement of the electrodes and the operational mode of the electrochemical experiments. A natural development of the concept of individual reaction sites engaged into such couplings is the case of coupled oscillators. It is thus not surprising that the treatment of coupling of the individual oscillators and spatiotemporal phenomena in a single oscillator may have common points. The analysis of such complex systems allows to understand better the general mechanisms underlying the spatiotemporal phenomena, including the coupling that exist between oscillators in living systems, e.g., in the biological cell membranes.The coupling of chemical or electrochemical oscillators can lead to either more complex or simpler oscillatory regimes, in the latter case including even ceasing of the oscillations. A special variant of such coupling can be realized through the external perturbation of a single oscillator or of a set of them.Karantonis and Nakabayashi [1] have analyzed the case of coupling of two limit cycle electrochemical oscillators, described by only two dynamical variables. In this work the diffusive coupling in one dynamical variable is considered which, under appropriate conditions, can lead to dephasing of the oscillators. This particular problem is related to the suggestion by Kuramoto [2] that chemical spatiotemporal chaos might arise where diffusive coupling leads to dephasing. The problem is important since it was shown, in terms of the model approach, that the diffusive coupling of the transmembrane voltage, in the presence of a strong deformation of the phase flow in the vicinity of the limit cycle, can cause the dephasing of oscillators and bursting oscillations [3]. The model of electrochemical M. Orlik, Self-Organization in Electrochemical Systems II, Monographs in Electrochemistry,

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Section: The Forced Ni/h 2 So 4 Oscillatormentioning

confidence: 99%

Section: The Forced Ni/h 2 So 4 Oscillatormentioning

confidence: 99%

Cooperative Dynamics of Coupled and Forced Oscillators

Orlik

2012

Self-Organization in Electrochemical Systems II

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“…Many oscillating electrochemical systems have been reported in the literature [57][58][59][60], and several, including anodic reactions and oxidation of Fe [61], Co [62], and Ni [63], have been studied under sinusoidal potential modulation. Anodic electrodissolution of Ni and particularly the Ni|H 2 SO 4 system is of interest, as it has been extensively studied [64,65] with oscillatory patterns observed under various parameters [66,67].…”

Section: Electrochemical Dynamicsmentioning

confidence: 99%

Electrochemistry, Emergent Patterns, and Inorganic Intelligent Response

Sadeghi¹,

Thompson²

2012

Molecular and Supramolecular Information Processing

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“…Among them, is that progress in the theory of nonlinear dynamical systems, achieved in parallel over last decades, has led to the formulation of new theoretical concepts and tools that could apply to electrochemical oscillators. Therefore, an understanding of the fundamental principles underlying the nonlinear phenomena observed in electrochemical processes has been considerably improved (Berthier et al, 2004;Eiswirth et al, 1992;Karantonis & Pagitsas, 1997;Karantonis et al, 2005;Karantonis et al, 2000;Kiss et al, 2006;Krischer, 2003b;Parmananda et al, 1999;Parmananda et al, 2000;Sazou et al, 1993a). On the other hand, electrochemical systems can be readily controlled through the variation of the potential (under current-controlled conditions) or the current (under potential-controlled conditions) and have served as experimental model systems to implement and test new theoretical concepts.…”

Section: Introductionmentioning

confidence: 99%