ezplot3 is not recommended function to use in Matlab any more.
There are other, maybe not that elegant ways of making animations, but the solution could be something like this:
% N -number of points, it can also be used to control speed
% insted of pause()
N = 100;
t = linspace(-2, 2, N);
x = t.^2;
y = sin(t);
z = t;
plot3(x,y,z)
grid on;
hold on;
p = plot3(x(1),y(1),z(1),'o','MarkerFaceColor','red');
hold off;
xlim([0, 4]); ylim([-1, 1]); zlim([-2, 2]);
time_step = 0.1; % parameter to control the speed
for k = 2:length(t)
p.XData = x(k);
p.YData = y(k);
p.ZData = z(k);
drawnow
pause(time_step)
end
I suggest you to look further in the Matlab documentation:
https://www.mathworks.com/help/matlab/animation-1.html
