Solution of reverse kinetic problem for oscillatory reactions

作者: E. A. Katsman , I. V. Sokolova , O. N. Temkin

DOI: 10.1134/S0040579514020067

关键词: Set (abstract data type)Kinetic energyMathematical optimizationStatistical physicsIntegerExtraneous and missing solutionsFunction (mathematics)Representation (mathematics)Maxima and minimaAmplitudeMathematicsGeneral chemistryGeneral Chemical Engineering

摘要: Based on the example of stationary chemical oscillations, that proceed according to Gray-Scott mechanism, it has been shown representation experimental data as amplitude-period pairs enables one form a target function minimal squares method, which is unimodal in fairly large neighborhood solution, and obtain unambiguous estimations parameters kinetic model. In particular, for this purpose, should simultaneously involve measurements amplitudes periods concentration oscillations. When these experiment are represented conventional concentration-time pairs, set extraneous local minima and, accordingly, solutions appear. The oscillations often integer relationships with period required solution.

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