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Mixed-mode oscillations in chemical systems

Housam Binous
Organization: KFUPM
Department: Chemical Engineering
URL: http://sites.google.com/site/homepageofdrhousambinous/
Nasri Zakia
Organization: National Institute of Applied Sciences and Technology
Department: Chemical Engineering Department
Revision date


The notebook plots figure 1 and 2 of the paper by V. Petrov, S. K. Scott and K. Showalter, Mixed-mode oscillations in chemical systems, J. Chem. Phys. 97 (9) 1992 pp. 6191-6198. Figure 1 is the variation of observed maxima in decimal logarithm of the dimensionless concentration of species B with increasing nu (the bifurcation parameter). Figure 2 show the three coexisting stable oscillations for nu=0.29776. Indeed, we find period-2 oscillations as well as two mixed-mode oscillations (one large plus two small excursions and one large plus three small excursions).

*Applied Mathematics
*Engineering > Chemical Engineering
*Science > Chemistry

Mixed-mode oscillations, large plus small excursions, time series, dynamic behavior of chemical systems
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PETROV5.nb (1.2 MB) - Mathematica Notebook [for Mathematica 6.0]