% Integrate the Rossler equations. % Rossler, O. E., 1976, An equation for continuous chaos, Physics % Letters A, 57, 397. % Equations: % \dot{x}(1) = -(x(2) + x(3)) % \dot{x}(2) = x(1) + a*x(2) % \dot{x}(3) = b + x(3)*(x(1) - c) % Written by Jim Hansen, Feb 2003 for 12.990 students % Specify the dimension of the system dim = 3; % Specify the initial conditions x = [1 2 3]; % Specify the parameter values (a, b, and c) par = [0.15 0.20 10.0]; % Specify the integration step size h = 0.01; % Specify the length of integration steps = 2^12; % Integrate the equations over length steps to remove any transient behavior for i=1:steps xout=step_it('derivsros',x,par,h,dim); x=xout; end % Integrate the equations over length steps and record state for plotting for i=1:steps xout=step_it('derivsros',x,par,h,dim); state(i,:)=xout; x=xout; end % Make a pretty picture figure;plot3(state(:,1),state(:,2),state(:,3)'.'); title('The Rossler attractor'); xlabel('x');ylabel('y');zlabel('z'); print -djpeg90 ros.jpg