% 產(chǎn)生 Henon 序列　
% 使用平臺(tái) - Matlab6.5
% 作者：陸振波，海軍工程大學(xué)
% 歡迎同行來(lái)信交流與合作，更多文章與程序下載請(qǐng)?jiān)L問(wèn)我的個(gè)人主頁(yè)
% 電子郵件：luzhenbo@sina.com
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% Henon映射 x(n+1) = 1 - a * x(n)^2 + y(n);  y(n+1) = b * x(n)
clc
clear
close all

a = 1.4;
b = 0.3;

x0 = 0;
y0 = 0;

N1 = 2000;                   % 前面的迭代點(diǎn)數(shù)
N2 = 8000;                   % 后面的迭代點(diǎn)數(shù)

z = zeros(N1+N2,2);
for i = 1:N1+N2
    x = 1 - a * x0^2 + y0 ;
    y = b * x0;
    x0 = x;
    y0 = y;
    
    z(i,1) = x;
    z(i,2) = y;
end
z = z(N1+1:end,:);

X = z(:,1);
Y = z(:,2);

plot(X,Y,'.','MarkerSize',1)
xlabel('z');ylabel('y')
title('Henon attractor')