Análisis numérico de caos espacio-temporal en sistemas extendidos espacialmente e investigación de electrodisolución caótica de metales

M. Rivera, R. Madrigal, P. Parmananda, M. Eiswirth, L. Nyikos, I. Z. Kiss, V. Gáspár

Research output: Article

Abstract

We report results (numerical and experimental) indicating control of the observed oscillatory dynamics in an electrochemical system using external forcing and variable feedback. Under the influence of external forcing it was observed that the chaotic dynamics could be converted to periodic states. Moreover, regular states with different periodicities could be stabilized. Using a continuous delayed feedback control strategy chaotic oscillations are suppressed via stabilization of fixed point steady states and/or periodic dynamics. Finally we report numerical results indicating control of spatiotemporal chaos observed in a spatially extended chemical system. In one spatial dimension the model dynamics under appropiate parameter conditions exhibit chemical turbulence which is suppressed using feedback and forcing techniques.

Original languageSpanish
Pages (from-to)11-15
Number of pages5
JournalRevista Mexicana de Fisica
Volume46
Issue number5 SUPPL. 2
Publication statusPublished - nov. 2000

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Análisis numérico de caos espacio-temporal en sistemas extendidos espacialmente e investigación de electrodisolución caótica de metales. / Rivera, M.; Madrigal, R.; Parmananda, P.; Eiswirth, M.; Nyikos, L.; Kiss, I. Z.; Gáspár, V.

In: Revista Mexicana de Fisica, Vol. 46, No. 5 SUPPL. 2, 11.2000, p. 11-15.

Research output: Article

@article{4fc1f3c071ee49348ceda2572f5df158,
title = "An{\'a}lisis num{\'e}rico de caos espacio-temporal en sistemas extendidos espacialmente e investigaci{\'o}n de electrodisoluci{\'o}n ca{\'o}tica de metales",
abstract = "We report results (numerical and experimental) indicating control of the observed oscillatory dynamics in an electrochemical system using external forcing and variable feedback. Under the influence of external forcing it was observed that the chaotic dynamics could be converted to periodic states. Moreover, regular states with different periodicities could be stabilized. Using a continuous delayed feedback control strategy chaotic oscillations are suppressed via stabilization of fixed point steady states and/or periodic dynamics. Finally we report numerical results indicating control of spatiotemporal chaos observed in a spatially extended chemical system. In one spatial dimension the model dynamics under appropiate parameter conditions exhibit chemical turbulence which is suppressed using feedback and forcing techniques.",
keywords = "Controlling chaos, Dynamical systems, Electrochemical corrosion",
author = "M. Rivera and R. Madrigal and P. Parmananda and M. Eiswirth and L. Nyikos and Kiss, {I. Z.} and V. G{\'a}sp{\'a}r",
year = "2000",
month = "11",
language = "Spanish",
volume = "46",
pages = "11--15",
journal = "Revista Mexicana de Fisica E",
issn = "1870-3542",
publisher = "Sociedad Mexicana de Fisica",
number = "5 SUPPL. 2",

}

TY - JOUR

T1 - Análisis numérico de caos espacio-temporal en sistemas extendidos espacialmente e investigación de electrodisolución caótica de metales

AU - Rivera, M.

AU - Madrigal, R.

AU - Parmananda, P.

AU - Eiswirth, M.

AU - Nyikos, L.

AU - Kiss, I. Z.

AU - Gáspár, V.

PY - 2000/11

Y1 - 2000/11

N2 - We report results (numerical and experimental) indicating control of the observed oscillatory dynamics in an electrochemical system using external forcing and variable feedback. Under the influence of external forcing it was observed that the chaotic dynamics could be converted to periodic states. Moreover, regular states with different periodicities could be stabilized. Using a continuous delayed feedback control strategy chaotic oscillations are suppressed via stabilization of fixed point steady states and/or periodic dynamics. Finally we report numerical results indicating control of spatiotemporal chaos observed in a spatially extended chemical system. In one spatial dimension the model dynamics under appropiate parameter conditions exhibit chemical turbulence which is suppressed using feedback and forcing techniques.

AB - We report results (numerical and experimental) indicating control of the observed oscillatory dynamics in an electrochemical system using external forcing and variable feedback. Under the influence of external forcing it was observed that the chaotic dynamics could be converted to periodic states. Moreover, regular states with different periodicities could be stabilized. Using a continuous delayed feedback control strategy chaotic oscillations are suppressed via stabilization of fixed point steady states and/or periodic dynamics. Finally we report numerical results indicating control of spatiotemporal chaos observed in a spatially extended chemical system. In one spatial dimension the model dynamics under appropiate parameter conditions exhibit chemical turbulence which is suppressed using feedback and forcing techniques.

KW - Controlling chaos

KW - Dynamical systems

KW - Electrochemical corrosion

UR - http://www.scopus.com/inward/record.url?scp=21144443218&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21144443218&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21144443218

VL - 46

SP - 11

EP - 15

JO - Revista Mexicana de Fisica E

JF - Revista Mexicana de Fisica E

SN - 1870-3542

IS - 5 SUPPL. 2

ER -