%% CODE TO SIMULATE LOGISTIC MAP

%% DECLARATION OF ENDOGENOUS VARIABLES
var x;

%% DECLARATION OF PARAMETERS
parameters r s;

%% CALIBRATION OF PARAMETERS
r=3.8;
s=0;

%% MODEL
model;
x = r*x(-1)*(1 - x(-1)) + s*x(+1);
end;

%% STEADY STATE
initval;
x = 0.1;
end;

check;

%% DETERMINISTIC SIMULATION
simul(periods = 40, stack_solve_algo=0, maxit=100);
dsample 40;
rplot x;