Dynamical response of the sinusoidally perturbed electrodissolution/passivation of iron in sulfuric acid solutions: Entrainment, spike generation, and quasiperiodicity.
Dynamical response of the sinusoidally perturbed electrodissolution/passivation of iron in sulfuric acid solutions: Entrainment, spike generation, and quasiperiodicity.
复制标题
硫酸溶液中铁的正弦扰动电溶解/钝化的动态响应：夹带、尖峰产生和准周期性。
作者：
A. Karantonis;M. Pagitsas;D. Sazou
铁/硫酸(Fe/2 M H(2)SO(4))体系在2 M硫酸溶液中极化时，在铁电极的活性和钝态之间形成的电位过渡区内表现出弛豫型周期性电流振荡。在目前的工作中，研究了当铁电极上施加的电势受到正弦扰动时，Fe/2 M H(2)SO(4) 电化学振荡器的动态响应。周期性扰动的 Fe/2 M H(2)SO(4) 振荡器的行为与其他受迫振荡器的响应显着不同，因为电位幅度 E(p) 和频率比 omega(p)/omega(0) 会变化。 omega(p) 和 omega(0) 分别是受扰动的施加电势和未受扰动的振荡器的角频率。其响应的一个特殊特征是出现许多尖峰，这些尖峰是在 omega(p)/omega(0)<2.9 的周期性振荡周期的无源部分内生成的，自主振荡器的周期 T(0) 更大，类似 3 s。生成的尖峰数量取决于扰动施加电势的幅度和频率以及自主振荡器的周期。 omega(p)/omega(0)=1 时不会生成尖峰，并且系统由强制频率谐波带动。然而，当系统分谐波牵引 omega(p)/omega(0) 接近 2 时，确实会产生尖峰。通过增加 omega(p)/omega(0) 的扰动频率更大、类似 2.9 和 T(0) 更大、类似 3 s，或者通过减少 T(0)<3 s 的自主周期和所有 omega(p)/omega(0)<2.9 比率，尖峰生成模式将被准周期模式取代。通过使用吸引子的时滞重建、庞加莱图和傅里叶功率谱来表征受扰动的 Fe/2 M H(2)SO(4) 电化学振荡器的动态响应。
The iron/sulfuric acid (Fe/2 M H(2)SO(4)) system exhibits periodic current oscillations of relaxation type within the potential transition region formed between the active and passive states of the iron electrode when it is polarized in the 2 M sulfuric acid solution. In the present work the dynamical response of the Fe/2 M H(2)SO(4) electrochemical oscillator is investigated when the applied potential at the iron electrode is sinusoidally perturbed. The behavior of the periodically perturbed Fe/2 M H(2)SO(4) oscillator differs significantly from the response of other forced oscillators, as the potential amplitude E(p) and the frequency ratio omega(p)/omega(0) vary. The omega(p) and omega(0) are the angular frequencies of the perturbed applied potential and the unperturbed oscillator, respectively. A special feature of its response is the appearance of a number of spikes, generated within the passive section of a periodic oscillatory cycle for omega(p)/omega(0)<2.9, for periods of the autonomous oscillator T(0) greater, similar 3 s. The number of the generated spikes depends on the amplitude and frequency of the perturbed applied potential as well as on the period of the autonomous oscillator. Spikes are not generated for omega(p)/omega(0)=1 and the system is harmonically entrained by the forcing frequency. However, when the system is subharmonically entrained for omega(p)/omega(0) close to 2, spike generation does occur. By increasing the perturbation frequency for omega(p)/omega(0) greater, similar 2.9 and T(0) greater, similar 3 s, or by decreasing the autonomous period for T(0)<3 s and all the omega(p)/omega(0)<2.9 ratios, the spike generation pattern, is replaced by a quasiperiodic pattern. The dynamical response of the perturbed Fe/2 M H(2)SO(4) electrochemical oscillator is characterized by using time-delay reconstructions of the attractors, Poincare maps, and Fourier power spectra.