Advanced search
Start date
Betweenand
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

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

Full text
Author(s):
Nascimento, Melke A. [1] ; Gallas, Jason A. C. [2, 3] ; Varela, Hamilton [1]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Quim Sao Carlos, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Fed Rio Grande do Sul, Inst Fis, BR-91501970 Porto Alegre, RS - Brazil
[3] Univ Fed Paraiba, Dept Fis, BR-58051970 Joao Pessoa, Paraiba - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Physical Chemistry Chemical Physics; v. 13, n. 2, p. 441-446, 2011.
Web of Science Citations: 33
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. (AU)

FAPESP's process: 07/04522-0 - Oscillatory kinetics in electrocatalysis: modeling and numerical simulations
Grantee:Melke Augusto do Nascimento
Support Opportunities: Scholarships in Brazil - Doctorate
FAPESP's process: 09/07629-6 - Electrocatalysis IV: fundamental and applied aspects of electrocatalytic processes, bio-electrocatalysis and kinetic instabilities
Grantee:Edson Antonio Ticianelli
Support Opportunities: Program for Research on Bioenergy (BIOEN) - Thematic Grants