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Issue 2, 2011
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Self-organized distribution of periodicity and chaos in an electrochemical oscillator

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Abstract

We report a detailed numerical investigation of a prototype electrochemical oscillator, in terms of high-resolution phase diagrams for an experimentally relevant section of the control (parameter) space. The prototype model consists of a set of three autonomous ordinary differential equations which captures the general features of electrochemical oscillators characterized by a partially hidden negative differential resistance in an N-shaped current–voltage stationary curve. By computing Lyapunov exponents, we provide a detailed discrimination between chaotic and periodic phases of the electrochemical oscillator. Such phases reveal the existence of an intricate structure of domains of periodicity self-organized into a chaotic background. Shrimp-like periodic regions previously observed in other discrete and continuous systems were also observed here, which corroborate the universal nature of the occurrence of such structures. In addition, we have also found a structured period distribution within the order region. Finally we discuss the possible experimental realization of comparable phase diagrams.

Graphical abstract: Self-organized distribution of periodicity and chaos in an electrochemical oscillator

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Article information


Submitted
30 Jun 2010
Accepted
07 Sep 2010
First published
13 Oct 2010

Phys. Chem. Chem. Phys., 2011,13, 441-446
Article type
Paper

Self-organized distribution of periodicity and chaos in an electrochemical oscillator

M. A. Nascimento, J. A. C. Gallas and H. Varela, Phys. Chem. Chem. Phys., 2011, 13, 441
DOI: 10.1039/C0CP01038C

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