Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays

The main purpose is to investigate both deterministic and stochastic bifurcations of the catalytic CO oxidation. Firstly, super- and subcritical bifurcations are determined by the signs of the Poincaré-Lyapunov coefficients of the center manifold scalar bifurcation equations. Secondly, we explore th...

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Main Authors: Zaitang Huang, Weihua Lei
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/790946
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author Zaitang Huang
Weihua Lei
author_facet Zaitang Huang
Weihua Lei
author_sort Zaitang Huang
collection DOAJ
description The main purpose is to investigate both deterministic and stochastic bifurcations of the catalytic CO oxidation. Firstly, super- and subcritical bifurcations are determined by the signs of the Poincaré-Lyapunov coefficients of the center manifold scalar bifurcation equations. Secondly, we explore the stochastic bifurcation of the catalytic CO oxidation on Ir(111) surfaces with multiple delays according to the qualitative changes in the invariant measure, the Lyapunov exponent, and the stationary probability density of system response. Some new criteria ensuring stability and stochastic bifurcation are obtained.
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id doaj-art-c75101738fdc4d1f95c750f89c6e8852
institution Kabale University
issn 1085-3375
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language English
publishDate 2013-01-01
publisher Wiley
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series Abstract and Applied Analysis
spelling doaj-art-c75101738fdc4d1f95c750f89c6e88522025-02-03T05:43:44ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/790946790946Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple DelaysZaitang Huang0Weihua Lei1School of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, ChinaSchool of Mathematical Sciences, Guangxi Teachers Education University, Nanning 530023, ChinaThe main purpose is to investigate both deterministic and stochastic bifurcations of the catalytic CO oxidation. Firstly, super- and subcritical bifurcations are determined by the signs of the Poincaré-Lyapunov coefficients of the center manifold scalar bifurcation equations. Secondly, we explore the stochastic bifurcation of the catalytic CO oxidation on Ir(111) surfaces with multiple delays according to the qualitative changes in the invariant measure, the Lyapunov exponent, and the stationary probability density of system response. Some new criteria ensuring stability and stochastic bifurcation are obtained.http://dx.doi.org/10.1155/2013/790946
spellingShingle Zaitang Huang
Weihua Lei
Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays
Abstract and Applied Analysis
title Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays
title_full Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays
title_fullStr Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays
title_full_unstemmed Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays
title_short Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays
title_sort deterministic and stochastic bifurcations of the catalytic co oxidation on ir 111 surfaces with multiple delays
url http://dx.doi.org/10.1155/2013/790946
work_keys_str_mv AT zaitanghuang deterministicandstochasticbifurcationsofthecatalyticcooxidationonir111surfaceswithmultipledelays
AT weihualei deterministicandstochasticbifurcationsofthecatalyticcooxidationonir111surfaceswithmultipledelays