## 499 Reputation

16 years, 66 days

## Label...

Nevermind, but if I want to label the funciton in the graph, how do I do this?

## Implicit plot...

restart; f := proc (epsilon, A) options operator, arrow; A*epsilon-A^3-A^5 end proc graph := display([implicitplot(f(epsilon, A), A = -5 .. 5, epsilon = -1 .. 3*A^2+5*A^4, colour = blue, axes = box, gridrefine = 3, crossingrefine = 3), implicitplot(f(epsilon, A), A = -5 .. 5, epsilon = 3*A^2+5*A^4 .. 10, colour = red, axes = box, gridrefine = 3, linestyle = DASH, crossingrefine = 3), fieldplot([f(epsilon, A), 0], A = -5 .. 5, epsilon = -1 .. 10, grid = [5, 5], arrows = SLIM, fieldstrength = log)]) fixedpts := [[0, 0]]; fixedptsPLOT := plot(fixedpts, style = POINT, color = BLACK, symbol = BOX) display(plottools[rotate](graph, 3*Pi*(1/2), [0, 0]), plottools[rotate](graph2, 3*Pi*(1/2), [0, 0]), plottools[rotate](graph3, 3*Pi*(1/2), [0, 0]), fixedptsPLOT, labels = [epsilon, A]) When I try to sketch the unstable portion, how do I stop it from going from far range? I think my issue is this: epsilon = -1 .. 3*A^2+5*A^4 where the 3*A^2+5*A^4 is the derivative of f = 0 in terms of epsilon.

## Implicit plot...

restart; f := proc (epsilon, A) options operator, arrow; A*epsilon-A^3-A^5 end proc graph := display([implicitplot(f(epsilon, A), A = -5 .. 5, epsilon = -1 .. 3*A^2+5*A^4, colour = blue, axes = box, gridrefine = 3, crossingrefine = 3), implicitplot(f(epsilon, A), A = -5 .. 5, epsilon = 3*A^2+5*A^4 .. 10, colour = red, axes = box, gridrefine = 3, linestyle = DASH, crossingrefine = 3), fieldplot([f(epsilon, A), 0], A = -5 .. 5, epsilon = -1 .. 10, grid = [5, 5], arrows = SLIM, fieldstrength = log)]) fixedpts := [[0, 0]]; fixedptsPLOT := plot(fixedpts, style = POINT, color = BLACK, symbol = BOX) display(plottools[rotate](graph, 3*Pi*(1/2), [0, 0]), plottools[rotate](graph2, 3*Pi*(1/2), [0, 0]), plottools[rotate](graph3, 3*Pi*(1/2), [0, 0]), fixedptsPLOT, labels = [epsilon, A]) When I try to sketch the unstable portion, how do I stop it from going from far range? I think my issue is this: epsilon = -1 .. 3*A^2+5*A^4 where the 3*A^2+5*A^4 is the derivative of f = 0 in terms of epsilon.

## Is it possible to plot the...

Is it possible to plot the vector fields on this graph?

## Is it possible to plot the...

Is it possible to plot the vector fields on this graph?

## Points...

Is there any way to plot the fixed points x = n*pi onto the same graph?

## Points...

Is there any way to plot the fixed points x = n*pi onto the same graph?

## Rotation...

Instead of reflecting the x and r, how do I rotate the graph 90' ?

## Rotation...

Instead of reflecting the x and r, how do I rotate the graph 90' ?

## how do I plot the...

how do I plot the equilibrium points on the same graph?

## how do I plot the...

how do I plot the equilibrium points on the same graph?

## Was the 2 arbitrary?...

Was the 2 arbitrary?

## Was the 2 arbitrary?...

Was the 2 arbitrary?

## What about the plot itself...

What about the plot itself not just the axis labels?

## What about the plot itself...

What about the plot itself not just the axis labels?

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