MATLAB: Simulink and simulation of logistic map

simulink logistic map discrete state space

Hello, I have assignment to make, a logistic map simulation in simulink using Discrete State Space and Math Function (square), and to be honest I have no idea how to do it. Is tere a way to make Discrete State Space to calculate x(i+1) using square function like x(i)(1-x(i)) not just x(i). My first thought was to use u as x but that is just stupid and it doesn't work. Do you have any suggestions how to solve this ?

Best Answer

So the logistic map is x(n+1)=r*x(n)*(1-x(n)) = r*x(n) -r*x(n)^2. Using the Discrete SS block and a square, how about that decomposition:

x(n+1) = r*x(n) -r*u(n)
y(n) = x(n)
u(n) = y^2(n)

Now x(n) should show the exact same behavior as x(n) in the logistic map.

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MATLAB: How is the adjusted R-square statistic computed by the REGSTATS function in the Statistics Toolbox

This is an error in the documentation.

The REGSTATS function in R14SP3 uses the ratio (n-1)/(n-p) to compute the adjusted R-square statistic, not the ratio n/(n-p) given in the documentation. Previous versions of the REGSTATS function did use the ratio n/(n-p), as documented. The documentation was not updated for R14SP3.

The documentation was updated for R2006a.

MATLAB: How can i generate chaos sequence

Hi Ammu,

You can use the logistic map.

x(n+1) = r*x(n)*(1-x(n))

%sequence is chaotic where 3.57 < r < 4.
r = 3.8; % r parameter for chaotic regime
size = 100; % size of chaotic array
x(1)= 4; % initial value
for i=1:size-1
   x(i+1) = r*x(i)*(1-x(i));
end
%Now x is a chaotic array with 100 elements.

Hope this will help.

Özgür

Best Answer

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