Code covered by the BSD License

# MATLAB Plot Gallery - Animation

### MathWorks Plot Gallery Team (view profile)

23 Feb 2012 (Updated )

Create an animated GIF

Animation

This is an example of how to create animations and animated GIFs in MATLAB®. In this example, we will animate the motion of a double-pendulum. We solve the ordinary differential equation using ode45.

For more examples, go to MATLAB Plot Gallery

```% Parameters and initial conditions
%   mass, link length, initial angles, simulation time
m = 1;
L = 1;
theta1 = 3*pi/4;
theta2 = 3*pi/8;
t = linspace(0, 10, 200);

% Solving ODE of a double pendulum
[T,Y] = ode45(@(t, x) double_pendulum(t, x, m, L), ...
t, [theta1, theta2, 0, 0]);

% Calculating joint coordinates for animation purposes
x = [L*sin(Y(:,1)),  L*sin(Y(:,1))+L*sin(Y(:,2))];
y = [-L*cos(Y(:,1)), -L*cos(Y(:,1))-L*cos(Y(:,2))];

ang = Y(:,1:2)*180/pi;

% Set up first frame
figure('Color', 'white')
subplot(2,1,1)
plot(T, ang, 'LineWidth', 2)
hh1(1) = line(T(1), ang(1,1), 'Marker', '.', 'MarkerSize', 20, ...
'Color', 'b');
hh1(2) = line(T(1), ang(1,2), 'Marker', '.', 'MarkerSize', 20, ...
'Color', 'r');
xlabel('time (sec)')
ylabel('angle (deg)')

subplot(2,1,2)
hh2 = plot([0, x(1,1);x(1,1), x(1,2)], [0, y(1,1);y(1,1), y(1,2)], ...
'.-', 'MarkerSize', 20, 'LineWidth', 2);
axis equal
axis([-2*L 2*L -2*L 2*L])
ht = title(sprintf('Time: %0.2f sec', T(1)));

% Get figure size
pos = get(gcf, 'Position');
width = pos(3);
height = pos(4);

% Preallocate data (for storing frame data)
mov = zeros(height, width, 1, length(T), 'uint8');

% Loop through by changing XData and YData
for id = 1:length(T)
% Update graphics data. This is more efficient than recreating plots.
set(hh1(1), 'XData', T(id), 'YData', ang(id, 1))
set(hh1(2), 'XData', T(id), 'YData', ang(id, 2))
set(hh2(1), 'XData', [0, x(id, 1)], 'YData', [0, y(id, 1)])
set(hh2(2), 'XData', x(id, :), 'YData', y(id, :))
set(ht, 'String', sprintf('Time: %0.2f sec', T(id)))

% Get frame as an image
f = getframe(gcf);

% Create a colormap for the first frame. For the rest of the frames,
% use the same colormap
if id == 1
[mov(:,:,1,id), map] = rgb2ind(f.cdata, 256, 'nodither');
else
mov(:,:,1,id) = rgb2ind(f.cdata, map, 'nodither');
end
end

% Create animated GIF
imwrite(mov, map, 'animation.gif', 'DelayTime', 0, 'LoopCount', inf)
```

Animated GIF