##
**Isothermal Reaction**

exd13

Variables and parameter:
*y*_{i}(*t*): chemical species, *i*=1,2,3
:
reaction rate

There is a Hopf bifurcation at
,
and a sequence of period doubling bifurcations.

Figure 1

Bifurcation diagram, *y*_{1}(0) versus .

Figure 2

Isothermal reaction, periodic orbit,
,
projection to (*y*_{1},*y*_{2}) plane.

Figure 3

Isothermal reaction, periodic orbit,
,
projection to (*y*_{1},*y*_{2}) plane.

Figure 4

Isothermal reaction, chaotic orbit,
,
projection to (*y*_{1},*y*_{2}) plane.

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Postscript-Files for better printing results:

This Example

Figure 1

Figure 2

Figure 3

Figure 4