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Dynamical Systems with Applications using MATLAB

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Dynamical Systems with Applications using MATLAB

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13 Sep 2002 (Updated )

Companion Software.

Editor's Notes:

This file was selected as MATLAB Central Pick of the Week

Program_2f.m
% Chapter 2 - Nonlinear Discrete Dynamical Systems.
% Program 2f - Iteration of the Henon Map.
% Copyright Birkhauser 2013. Stephen Lynch.

% A chaotic attractor for the Henon map (Figure 2.22(b)).
a=1.2;
b=0.4;
N=6000;
x=zeros(1,N);
y=zeros(1,N);
x(1)=0.1;
y(1)=0;
for n=1:N
    x(n+1)=1+y(n)-a*(x(n))^2;
    y(n+1)=b*x(n);
end 
axis([-1 2 -1 1])
plot(x(50:N),y(50:N),'.','MarkerSize',1);
fsize=15;
set(gca,'XTick',-1:0.5:1,'FontSize',fsize)
set(gca,'YTick',-1:0.5:2,'FontSize',fsize)
xlabel('\itx','FontSize',fsize)
ylabel('\ity','FontSize',fsize)

% End of Program 2f.

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