vertical lines in plot
- To: mathgroup at smc.vnet.net
- Subject: [mg94100] vertical lines in plot
- From: "Cristina Ballantine" <cballant at holycross.edu>
- Date: Fri, 5 Dec 2008 05:28:24 -0500 (EST)
In plotting the inverse image of the unit circle under the function B
below, I get all kinds of vertical lines. They are obviously jump
discontinuities, very likely caused by choices of branch cuts. I there any
way of getting rid of the vertical lines without redefining the brunch
cuts? I looked at the value of different solutions in sol4 close to a
point of discontinuity and it looks like the order of the solutions is
switched when t gets to that point. I am not sure if this is just a
coincidence. I also tried ExclusionsStyle->Red but there don't seem to be
any exclusions.
alpha := Pi/3
r := 2/3
a := r*Exp[I*alpha]
n := 3
B[z] := 1/(z^n)*((Conjugate[a]/a)*(a^2 - z^2)/(1 - (Conjugate[a])^2*z^2))^n
sol4 := Solve[B[z] == Exp[I*t], z]
ParametricPlot[Evaluate[{Re[z], Im[z]} /. sol4], {t, 0, 2 Pi}, PlotRange -> All]
Best regards,
Cristina
- Follow-Ups:
- Re: vertical lines in plot
- From: Daniel Lichtblau <danl@wolfram.com>
- Re: vertical lines in plot