Oscillations in chemical systems. IV. Limit cycle behavior in a model of a real chemical reaction

• Richard J. Field

  Department of Chemistry, University of Oregon, Eugene, Oregon 97403

• Richard M. Noyes

  Department of Chemistry, University of Oregon, Eugene, Oregon 97403

抄録

The chemical mechanism of Field, Körös, and Noyes for the oscillatory Belousov reaction has been generalized by a model composed of five steps involving three independent chemical intermediates. The behavior of the resulting differential equations has been examined numerically, and it has been shown that the system traces a stable closed trajectory in three dimensional phase space. The same trajectory is attained from other phase points and even from the point corresponding to steady state solution of the differential equations. The model appears to exhibit limit cycle behavior. By stiffly coupling the concentrations of two of the intermediates, the limit cycle model can be simplified to a system described by two independent variables; this coupled system is amenable to analysis by theoretical techniques already developed for such systems.

収録刊行物

• The Journal of Chemical Physics

  The Journal of Chemical Physics 60 (5), 1877-1884, 1974-03-01

  AIP Publishing

キーワード

• Physical and Theoretical Chemistry
• General Physics and Astronomy

詳細情報

• CRID: 1363388844285980416
• NII論文ID: 30015701449
• DOI: 10.1063/1.1681288
• ISSN: 10897690
• ISSN: 00219606
• Web Site: https://pubs.aip.org/aip/jcp/article-pdf/60/5/1877/18889964/1877_1_online.pdf
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