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Progress in Chemistry 2004, Vol. 16 Issue (01): 42- Previous Articles   Next Articles

• Review •

Mathematical Methods and Softwares in the Field of Chemical Oscillation

Chu Xiaozhong;He Zhanbo**   

  1. (Department of Chemistry, School of Science, Tianjin University, Tianjin 300072, China)
  • Received: Revised: Online: Published:
  • Contact: He Zhanbo
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The mathematical methods and computer softwares applied to the field of chemical oscillation are sum-marized in this paper. The main contents discussed are as follows: the advantages and disadvantages of Gear method and Runge-Kutta method in solving oscillation models; three mathematical analysis methods, i.e., stability analysis, sensi-tivity analysis and principal component analysis. Two powerful softwares, Mathematica and Maple are introduced accord-ing to the authors' practice. Additionally, two algorithms, genetic algorithm and Monte Carlo algorithm as well as two softwares MECHEM and Chemical Kinetic Simulator used in modeling mechanisms of chemical oscillations are also dealt with briefly.

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