The Hadley Attractor

on 11 Oct 2021

%% HADLEY ACTTRACTOR

t = 0:5e-5:10;

%% solving chaotic dynamics

[~,y]=ode15s(@f,t,[.1 0 0]);

%% plotting magic ;)

patch(y(:,1),y(:,2),-y(:,3),t,'EdgeC','w','linew',2);

set([gcf,gca],'Color','k');

colormap(flipud(turbo));

axis tight equal;

view(180,-90);

%% ordinary differential equation

function w = f(t,X)

x = X(1);

y = X(2);

z = X(3);

w = [40*(y-x)+x*z/2; 20*y-x*z;.833*z+x*y-.65*x*x];

end

%% References:

% [1] Istvan. Strange Attractors visualisation of chaotic equation.

% url = https://chaoticatmospheres.com/mathrules-strange-attractors

% (Accessed on October 11, 2021).