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Chaotic dynamics in a model of metal passivation

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Abstract

The dynamic behavior of a model for the passivation of a metal surface in contact with an aqueous solution is investigated. The model, which is characterized by a three-dimensional state space and five-dimensional parameter space, is obtained by combining elements from passivation models developed by Talbot and Oriani and by Sato. A three-dimensional subspace of parameter space has been studied; the remaining two dimensions are not thought to provide any additional interesting dynamics. The model exhibits remarkably rich dynamics, including the period-doubling, intermittency, and crisis routes to chaos, folds and bubbles in periodic portions of the attractor, and multiple attractors with complex, intertwined basins of attraction.

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Kevin, M.J., Parmananda, P., Rollins, R.W. et al. Chaotic dynamics in a model of metal passivation. Journal of Materials Research 8, 1858–1865 (1993). https://doi.org/10.1557/JMR.1993.1858

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  • DOI: https://doi.org/10.1557/JMR.1993.1858

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