A spatial frequency domain analysis of the belousov-zhabotinsky reaction

Lingzhong Guo; Yuzhu Guo; Yifan Zhao; Stephen A. Billings; Daniel Coca; Zhiqiang Lang

doi:10.1142/S021812741450031X

A spatial frequency domain analysis of the belousov-zhabotinsky reaction

Lingzhong Guo
, Yuzhu Guo
, Yifan Zhao
, Stephen A. Billings^*
, Daniel Coca
, Zhiqiang Lang

^*Corresponding author for this work

University of Sheffield

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

3 Scopus citations

Abstract

A nonlinear spatio-temporal system identification and analysis approach is used to study the dynamical behavior of the Belousov-Zhabotinsky (BZ) chemical reaction process. In our previous study [Guo et al., 2010], the dynamical behavior of the BZ reaction in the spatial-temporal domain has been analyzed by identifying a coupled map lattice (CML) model of the process directly from experimental data from a real BZ reaction experiment. In this paper, the frequency domain analysis of the dynamics near equilibrium is carried out by mapping the obtained CML model into higher order spatial frequency response functions to reveal the nonlinear coupling and modulation between the various initial spectral components in the process. As far as we are aware, this is the first study of any real spatio-temporal system using a spatio-temporal domain identification and frequency domain analysis approach.

Original language	English
Article number	1450031
Journal	International Journal of Bifurcation and Chaos
Volume	24
Issue number	3
DOIs	https://doi.org/10.1142/S021812741450031X
State	Published - Mar 2014
Externally published	Yes

Keywords

Belousov-Zhabotinsky reaction
Volterra series
generalized spatial frequency response function

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10.1142/S021812741450031X

Cite this

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title = "A spatial frequency domain analysis of the belousov-zhabotinsky reaction",

abstract = "A nonlinear spatio-temporal system identification and analysis approach is used to study the dynamical behavior of the Belousov-Zhabotinsky (BZ) chemical reaction process. In our previous study [Guo et al., 2010], the dynamical behavior of the BZ reaction in the spatial-temporal domain has been analyzed by identifying a coupled map lattice (CML) model of the process directly from experimental data from a real BZ reaction experiment. In this paper, the frequency domain analysis of the dynamics near equilibrium is carried out by mapping the obtained CML model into higher order spatial frequency response functions to reveal the nonlinear coupling and modulation between the various initial spectral components in the process. As far as we are aware, this is the first study of any real spatio-temporal system using a spatio-temporal domain identification and frequency domain analysis approach.",

keywords = "Belousov-Zhabotinsky reaction, Volterra series, generalized spatial frequency response function",

author = "Lingzhong Guo and Yuzhu Guo and Yifan Zhao and Billings, \{Stephen A.\} and Daniel Coca and Zhiqiang Lang",

year = "2014",

month = mar,

doi = "10.1142/S021812741450031X",

language = "英语",

volume = "24",

journal = "International Journal of Bifurcation and Chaos",

issn = "0218-1274",

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TY - JOUR

T1 - A spatial frequency domain analysis of the belousov-zhabotinsky reaction

AU - Guo, Lingzhong

AU - Guo, Yuzhu

AU - Zhao, Yifan

AU - Billings, Stephen A.

AU - Coca, Daniel

AU - Lang, Zhiqiang

PY - 2014/3

Y1 - 2014/3

N2 - A nonlinear spatio-temporal system identification and analysis approach is used to study the dynamical behavior of the Belousov-Zhabotinsky (BZ) chemical reaction process. In our previous study [Guo et al., 2010], the dynamical behavior of the BZ reaction in the spatial-temporal domain has been analyzed by identifying a coupled map lattice (CML) model of the process directly from experimental data from a real BZ reaction experiment. In this paper, the frequency domain analysis of the dynamics near equilibrium is carried out by mapping the obtained CML model into higher order spatial frequency response functions to reveal the nonlinear coupling and modulation between the various initial spectral components in the process. As far as we are aware, this is the first study of any real spatio-temporal system using a spatio-temporal domain identification and frequency domain analysis approach.

AB - A nonlinear spatio-temporal system identification and analysis approach is used to study the dynamical behavior of the Belousov-Zhabotinsky (BZ) chemical reaction process. In our previous study [Guo et al., 2010], the dynamical behavior of the BZ reaction in the spatial-temporal domain has been analyzed by identifying a coupled map lattice (CML) model of the process directly from experimental data from a real BZ reaction experiment. In this paper, the frequency domain analysis of the dynamics near equilibrium is carried out by mapping the obtained CML model into higher order spatial frequency response functions to reveal the nonlinear coupling and modulation between the various initial spectral components in the process. As far as we are aware, this is the first study of any real spatio-temporal system using a spatio-temporal domain identification and frequency domain analysis approach.

KW - Belousov-Zhabotinsky reaction

KW - Volterra series

KW - generalized spatial frequency response function

UR - https://www.scopus.com/pages/publications/84896926100

U2 - 10.1142/S021812741450031X

DO - 10.1142/S021812741450031X

M3 - 文章

AN - SCOPUS:84896926100

SN - 0218-1274

VL - 24

JO - International Journal of Bifurcation and Chaos

JF - International Journal of Bifurcation and Chaos

IS - 3

M1 - 1450031

ER -

A spatial frequency domain analysis of the belousov-zhabotinsky reaction

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Keywords

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