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Dynamic behavior of autocatalytic reaction networks

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
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The notebook shows how one can obtain Figure 3 page 145 of the paper by E. Di Cera, P. E. Phillipson and J. Wyman, Limit-cycle oscillations and chaos in reaction networks subject to conservation of mass, Proc. Natl. Acad. Sci., Vol. 86, pp. 142-146, January 1989. In addition, we obtain the bifurcation diagram for this system.

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

Bifurcation diagram, limit-cycle, oscillation, period doubling, chaos, bifurcation parameter, time series, phase space diagram, autocatalytic reaction network
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nra.nb (848.2 KB) - Mathematica Notebook [for Mathematica 6.0]