Mapping the Maxima for a Nonisothermal Chemical System

Scott and Tomlin derived three coupled nonlinear ODEs to describe the behavior of a nonisothermal chemical system [1].
This Demonstration plots the loci of the maxima of the time series and uses this information to map the next maximum point.
For particular values of the bifurcation parameter (for example, ), the result is chemical chaos, and a map of the next maximum shows the typical behavior of a chaotic attractor.
On the other hand, when periodic behavior is observed (e.g., for ), a map of the next maximum displays only a small number of isolated points.

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DETAILS

[1] S. K. Scott and A. S. Tomlin, "Period Doubling and Other Complex Bifurcations in Non-Isothermal Chemical Systems," Philosophical Transactions of the Royal Society A, 332(1624), 1990 pp. 51–68. rsta.royalsocietypublishing.org/content/332/1624/51.
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