Effect of electrode surface area on chaotic attractor dimensions

Experiments on interacting electrochemical oscillators

“…The first experiments, which are described in this paper, were done with one, two, and three iron electrodes embedded in the end of a rotating disk. These experiments follow some earlier dynamic experiments we carried out with single iron rotating disk electrodes (Wang and Hudson, 1991). In that earlier work, series of runs were made with electrodes of varying size.…”

Temporal Instabilities in Corrosion Processes

“…6.4). These oscillations exhibit relatively small amplitude, but high frequency (0.1-1 kHz) [11,20,21] and the degree of their complexity is dependent on the electrode size [22]: with electrode diameter increasing from 2.0 mm to 6.35 mm regular oscillations turned into low-order chaos, followed by high-order chaos. In the authors' opinion, these transitions were due to increasing coupling between the various sites on the electrode surface, so the full explanation of these phenomena should involve the concept of coupled oscillators, as mentioned already above.…”

Proceedings of the 2nd Experimental Chaos Conference

“…Bassett and Hudson have shown that copper electrodissolution in NaCl and H2S04 yields a large number of types of interesting behavior, including period doublings to simple chaos [4], Shil'nikov chaos [8], quasi periodicity, chaos on a broken torus [5], and period doubling of tori [3]. Diem and Hudson [9] and Wang and Hudson [42] have used methods such as the calculation of a correlation dimension to show the existence of simple and higher-order chaotic structures during the electrodissolution of iron in H2S04 at the limiting-current plateau. sodium chloride/thiocyanate solutions with the aid of Hurst exponents [16].…”

“…The oscillations on the mass transfer limited plateau normally have a high frequency (up to kilohertz), are complicated (often chaotic), and have minima which are not zero, i.e., the surface does not become completely passivated [42]. An excellent discussion of these latter oscillations can be found in the work of Russell and Newman [38,39].…”

“…An excellent discussion of these latter oscillations can be found in the work of Russell and Newman [38,39]. The chaotic nature of these higher frequency signals has been investigated in [9] and [42]. It is shown in [42] that the (information) dimension generally increases with increasing electrode size.…”