Bifurcations to periodic and chaotic motions in anodic nickel dissolution

O. Lev; A. Wolffberg; M. Sheintuch; L. M. Pismen

doi:10.1016/0009-2509(88)85107-8

Bifurcations to periodic and chaotic motions in anodic nickel dissolution

O. Lev, A. Wolffberg, M. Sheintuch^*, L. M. Pismen

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

73 Scopus citations

Abstract

The dynamics of galvanostatic dissolution of nickel in sulfuric acid is investigated. The transitions (bifurcations) between regions of different behaviors are identified by a dual galvanostatic-potentiostatic mode of operation, and their loci are mapped in the plane of current vs acid concentration. These lines merge at a singular point characterized by two vanishing eigenvalues. A cusp-shaped region of birythmicity is mapped at intermediate concentrations. In the second part, observations of deterministic chaos are presented and characterized by the time trace, spectral density, phase portrait, Poincaré section and return map. The attractor is characterized by the different measures of chaos (dimensions) related to the Liapunov exponents. The roads to chaos via quasiperiodicity and via the period-doubling scenario are demonstrated. The latter transition is triggered by a potential gradient along the working electrode.

Original language	English
Pages (from-to)	1339-1353
Number of pages	15
Journal	Chemical Engineering Science
Volume	43
Issue number	6
DOIs	https://doi.org/10.1016/0009-2509(88)85107-8
State	Published - 1988
Externally published	Yes

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title = "Bifurcations to periodic and chaotic motions in anodic nickel dissolution",

abstract = "The dynamics of galvanostatic dissolution of nickel in sulfuric acid is investigated. The transitions (bifurcations) between regions of different behaviors are identified by a dual galvanostatic-potentiostatic mode of operation, and their loci are mapped in the plane of current vs acid concentration. These lines merge at a singular point characterized by two vanishing eigenvalues. A cusp-shaped region of birythmicity is mapped at intermediate concentrations. In the second part, observations of deterministic chaos are presented and characterized by the time trace, spectral density, phase portrait, Poincar{\'e} section and return map. The attractor is characterized by the different measures of chaos (dimensions) related to the Liapunov exponents. The roads to chaos via quasiperiodicity and via the period-doubling scenario are demonstrated. The latter transition is triggered by a potential gradient along the working electrode.",

author = "O. Lev and A. Wolffberg and M. Sheintuch and Pismen, {L. M.}",

note = "Funding Information: Acknowledgements-We wish to thank Professor H. Yarnitzki for fruitful discussions, and help with equipment. This work was supported by the US-Israel Binational Science Foundation.",

year = "1988",

doi = "10.1016/0009-2509(88)85107-8",

language = "英语",

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pages = "1339--1353",

journal = "Chemical Engineering Science",

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T1 - Bifurcations to periodic and chaotic motions in anodic nickel dissolution

AU - Lev, O.

AU - Wolffberg, A.

AU - Sheintuch, M.

AU - Pismen, L. M.

N1 - Funding Information: Acknowledgements-We wish to thank Professor H. Yarnitzki for fruitful discussions, and help with equipment. This work was supported by the US-Israel Binational Science Foundation.

PY - 1988

Y1 - 1988

N2 - The dynamics of galvanostatic dissolution of nickel in sulfuric acid is investigated. The transitions (bifurcations) between regions of different behaviors are identified by a dual galvanostatic-potentiostatic mode of operation, and their loci are mapped in the plane of current vs acid concentration. These lines merge at a singular point characterized by two vanishing eigenvalues. A cusp-shaped region of birythmicity is mapped at intermediate concentrations. In the second part, observations of deterministic chaos are presented and characterized by the time trace, spectral density, phase portrait, Poincaré section and return map. The attractor is characterized by the different measures of chaos (dimensions) related to the Liapunov exponents. The roads to chaos via quasiperiodicity and via the period-doubling scenario are demonstrated. The latter transition is triggered by a potential gradient along the working electrode.

AB - The dynamics of galvanostatic dissolution of nickel in sulfuric acid is investigated. The transitions (bifurcations) between regions of different behaviors are identified by a dual galvanostatic-potentiostatic mode of operation, and their loci are mapped in the plane of current vs acid concentration. These lines merge at a singular point characterized by two vanishing eigenvalues. A cusp-shaped region of birythmicity is mapped at intermediate concentrations. In the second part, observations of deterministic chaos are presented and characterized by the time trace, spectral density, phase portrait, Poincaré section and return map. The attractor is characterized by the different measures of chaos (dimensions) related to the Liapunov exponents. The roads to chaos via quasiperiodicity and via the period-doubling scenario are demonstrated. The latter transition is triggered by a potential gradient along the working electrode.

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U2 - 10.1016/0009-2509(88)85107-8

DO - 10.1016/0009-2509(88)85107-8

M3 - 文章

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SN - 0009-2509

VL - 43

SP - 1339

EP - 1353

JO - Chemical Engineering Science

JF - Chemical Engineering Science

IS - 6

ER -

Bifurcations to periodic and chaotic motions in anodic nickel dissolution

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