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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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/790946 |
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| _version_ | 1832557052328673280 |
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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. |
| format | Article |
| id | doaj-art-c75101738fdc4d1f95c750f89c6e8852 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| 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 |