0

I have the function: 

f(z) = conj(z) + 0.4*z^2,

Going from a polar grid where 0 < theta < 2pi and between 0.5 < |z| < 2.5 for its two radii. I have no idea where to start as I'm new to MATLAB but I'm trying to make 2 subplots each with two parametric equations for each curve but I've had no success.

John Miller
  • 57
  • 7

1 Answers1

0

Try this code. Swap the definition of f to switch between the polar grid and the transformed grid. I also answered a similar question here.

clear
clc

N = 41;
t = linspace(0, 2*pi, N);
r = linspace(0.5, 2.5, N);
[R,T] = meshgrid(r,t);

Z = R.*exp(T*1i);

% f = Z; %Original mesh
f = conj(Z) + 0.4*Z.^2; %Transformed mesh

U = real(f);
V = imag(f);

%Plot mesh
hold off
plot(U,V,'b-');
hold on
plot(U',V','r-');

xlim([-5,5]);
ylim([-5,5]);
axis equal
Savithru
  • 735
  • 6
  • 12