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

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  • Zaitang Huang
  • Weihua Lei

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.

Suggested Citation

  • Zaitang Huang & Weihua Lei, 2013. "Deterministic and Stochastic Bifurcations of the Catalytic CO Oxidation on Ir(111) Surfaces with Multiple Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:790946
    DOI: 10.1155/2013/790946
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    References listed on IDEAS

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    1. Huang, Dongwei & Wang, Hongli & Feng, Jianfeng & Zhu, Zhi-wen, 2006. "Hopf bifurcation of the stochastic model on HAB nonlinear stochastic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 27(4), pages 1072-1079.
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