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Control of Electrochemical Chaos and Unstable Steady-States

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Self-Organization in Electrochemical Systems II

Part of the book series: Monographs in Electrochemistry ((MOEC))

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Abstract

Various ways to achieve stabilization of chaotic and unstable steady-states in electrochemical systems are described: the map-based control algorithm, the derivative control strategy, the delayed-feedback control, and sinusoidal forcing. These algorithms are shown to work for both experimental systems (including Cu and Ni electrodissolution in acidic media) and their theoretical models. The controls manifest itself in: emerging periodic behavior from chaotic regime, the stabilization of a single unstable steady-state in a periodic or chaotic oscillator, but also in possible increase in the complexity of system’s dynamics (i.e., transition from period-1 to period-n oscillations). In most cases the stabilization of temporal instabilities is described, but also a control of spatiotemporal chaotic dynamics can be achieved using sinusoidal forcing. Regarding the noise-induced order, for the Ni electrodissolution in sulfuric acid medium, the effect of stochastic noise: the coherence resonance, meaning that the system exhibits maximum regularity of noise-induced oscillations for the optimum noise-level, is outlined. Finally, the stabilization of oscillations in the system with spontaneous drift of its characteristics is described.

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Notes

  1. 1.

    Coherence resonance (CR), as meaning the emergence of coherence in noise-induced oscillations, is thus essentially different from stochastic resonance (SR) - amplification of deterministic (periodic) signal upon addition of noise.

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  1. Faculty of Chemistry, University of Warsaw, Warsaw, Poland

    Marek Orlik

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Orlik, M. (2012). Control of Electrochemical Chaos and Unstable Steady-States. In: Self-Organization in Electrochemical Systems II. Monographs in Electrochemistry. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27627-9_7

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