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Please help with matlab/simulink The Mackey-Glass equation describes a time-dela

ID: 3857988 • Letter: P

Question

Please help with matlab/simulink

The Mackey-Glass equation describes a time-delayed nonlinear system that produces a chaotic result. Chaotic systems are ones in which small changes eventually lead to results that can be dramatically different. The Mackey-Glass equation is given by dy(t)/dt = 0.2 y(t - tau)/1 + y^10 (t - tau) - 0.1 y (t), y (0) = 1.5 The delay, tau is 17 seconds. Simulate for 1000 seconds and use a fixed-step algorithm with a step size of 0.01 seconds. Illustrate sensitivity by repeating the simulation replacing the 0.1 by 0.099 and then by 0.101. You will need to adjust the configuration parameters because only the last 1000time values are sent back to the work space. Go to the simulation tab, configuration parameters data import/export on the left hand side and unclick the box that limits the number of points to the last 1000.

Explanation / Answer

time = 0; index = 1; history_length = floor(tau/deltat); x_history = zeros(history_length, 1); % here we assume x(t)=0 for -tau
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