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      Unusual synchronization phenomena during electrodissolution of silicon: the role of nonlinear global coupling

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          Abstract

          The photoelectrodissolution of n-type silicon constitutes a convenient model system to study the nonlinear dynamics of oscillatory media. On the silicon surface, a silicon oxide layer forms. In the lateral direction, the thickness of this layer is not uniform. Rather, several spatio-temporal patterns in the oxide layer emerge spontaneously, ranging from cluster patterns and turbulence to quite peculiar dynamics like chimera states. Introducing a nonlinear global coupling in the complex Ginzburg-Landau equation allows us to identify this nonlinear coupling as the essential ingredient to describe the patterns found in the experiments. The nonlinear global coupling is designed in such a way, as to capture an important, experimentally observed feature: the spatially averaged oxide-layer thickness shows nearly harmonic oscillations. Simulations of the modified complex Ginzburg-Landau equation capture the experimental dynamics very well.

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          Most cited references34

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          From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators

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            Clustering, coding, switching, hierarchical ordering, and control in a network of chaotic elements

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              Spiral calcium wave propagation and annihilation in Xenopus laevis oocytes

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                Author and article information

                Journal
                1405.0414

                Nonlinear & Complex systems
                Nonlinear & Complex systems

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