%% CODE TO SIMULATE LOGISTIC MAP

%% DECLARATION OF ENDOGENOUS VARIABLES
var x;

%% DECLARATION OF PARAMETERS
parameters r;

%% CALIBRATION OF PARAMETERS
r=3.8;

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

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

check;

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