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

Zaitang Huang and Weihua Lei

Abstract and Applied Analysis, 2013, vol. 2013, 1-14

Abstract:

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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:790946

DOI: 10.1155/2013/790946

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