- Phase_Diagram.mws is the Maple worksheet containing the simulation of the stable manifold.
- Phase.ps is the figure produced by the Maple worksheet.
- Phase_Diagram.tex is a LaTeX file used to produce the labels on the figure.
- Phase_Diagram.ps is the figure used in the paper. The format is encapsulated postscript,
so that it may be renamed Phase_Diagram.eps and inserted into a LaTeX file.
Remark on the computation of the stable arm. I used to draw my stable arms with a shooting algorithm
and often had convergence problems, especially with non-linear cases. But recently I noticed a new
way to do the calculations. It's very simple: take a point in a neighborhood of the stationary state
(Css,Kss) e.g. 0.999*Css and 0.999*Kss and run time backwards long enough to go back to the origin
(C(0),K(0)). Do it again for 1.001*Css and 1.001*Kss and run time backwards again. Your stable arm
is staring at you. A mathematician named Robert Israel, from UBC, showed it to me on a Maple forum.
It's very easy and just as good for computing the stable arm.
Remark on using LaTeX with PSTricks package (I use TeXNicCenter to automate the compilation):
1) First Step.
run latex.exe with the following options: [--src -interaction=nonstopmode
"%Wm"] (omit the square brackets)
2) Second Step.
run dvips.exe with the following options: [-P pdf -G0 "%Bm.dvi"] (omit the
square brackets)