Usage messages
In[]:=
EquilibriaPlotPoints::usage = "EquilibriaPlotPoints is an option to Equilibria that sets the PlotPoints for the first contour plot that is used to generate seeds. To catch pairs of nearby equilibria it may be necessary to increase this."; Equilibria::usage = "Equilibria[funcs, {x, xmin, xmax}, {y, ymin, ymax}, opts] returns the list of points where the funcs are 0. Options appropriate to FindMinimum may be used. Also a table of eigenvalues corresponding to the equilibrium points is printed."; EquilibriumPointColor::usage = "EquilibriumPointColor is an option to PhasePlot that sets the color of the equilibrium points."; EquilibriumFindingMethod::usage = "EquilibriumFindingMethod is an internal option to Equilibria to deal with nondifferentiable functions."; EquilibriaPrecisionGoal::usage = "EquilibriaPrecisionGoal is an option to Equilibria that eliminates duplicates with 10^-prec."; FindMinMethod::usage = "FindMinMethod is an internal function and option value for the case that equilibria are sought for a nondifferentiable function."; NullclineContourPlotPoints::usage = "NullclineContourPlotPoints is an option to NullclinePlot that controls the resolution of the contour lines."; NullclinePlot::usage = "NullclinePlot[{f1, f2}, {x, xmin, xmax}, {y, ymin, ymax}] produces the graphs of f1 = 0 and f2 = 0, along with a gray background that indicates the four possibilities for {Sign[f1], Sign[f2]} and red dots on the simultaneous roots (the equilibrium points). It works only on orbits for autonomous systems of two equations."; Nullclines::usage = "Nullclines is an option to NullclinePlot and PhasePlot that, when False, suppresses the nullclines."; NullclineShading::usage = "NullclineShading is an option to NullclinePlot and to PhasePlot that causes a coded gray background to show."; NullclineShadingMethod::usage = "NullclineShadingMethod is an option to NullclinePlot that controls the algorithm used to shade the regions. Possibilities are Automatic or SumOfSigns."; NullclineStyle::usage = "NullclineStyle is an option to NullclinePlot that sets the styles of the two nullclines. Thus it must be set to a pair, the first entry being a list of graphics primitives for the x-nullcline, and the second a list for the y-nullcline."; SeedsOnly::usage = "SeedsOnly is an option to Equilibria that returns rough values of the points. It is faster and often good enough for visualization. The main point is that this allows the nullclines to be split up into pieces at the equilibrium points."; ShowEigenvalues::usage = "ShowEigenvalues is an option to Equilibria that causes a table of eignevalues to be displayed."; ShowEquilibria::usage = "ShowEquilibria is an option to NullclinePlot that causes the equilibrium points to be shown."; SumOfSigns::usage = "SumOfSigns is a value to the NullclineShadingMethod that forces a different, simpler, but less highly resolved, method to be sued for shading nullclines.";
If your output will be a sequence of graphs, select a display option.
Display as:
individual images
a movie
both of the above
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Initialization code: The NullclinePlot package