clc;
clear all;
close all;

%-----------------------------------------------------------------
% 產(chǎn)生 Logistic 混沌時(shí)間序列

lambda = 4;

k1 = 1000;              % 前面的迭代點(diǎn)數(shù)
k2 =1000;              % 后面的迭代點(diǎn)數(shù)
x0 = rand(1);
x = zeros(k1+k2,1);
for i = 1:k1+k2
    x0 = lambda*x0*(1-x0);
    x(i) = x0;
end
xn = x(k1+1:end);  % 時(shí)間序列,xn應(yīng)為列向量
xn =normalize_1(xn)+0.5;  % 歸一化

% logistic 入口參數(shù)%
tau = 1;                        % 時(shí)延
P = 100;                        % 序列平均周期
fs = 1;                         % 采樣頻率
evolvement_length=20;           % 最大離散演化步數(shù)
norm=2;

figure;
radius=0.01;
linear_zone = [1:8];                 % 線性區(qū)域
for m=3:5                            % 嵌入維
    data = PhaSpaRecon(xn,tau,m);    % 每列為一個(gè)點(diǎn)
    data = data';
    lyapunov_result = lyapunov_kantz_c(data,tau,m,evolvement_length,norm,P,fs,radius);
    plot(lyapunov_result,'b.-');
    hold on;
    F = polyfit(linear_zone,lyapunov_result(linear_zone),1);
    fit_curve=polyval(F,linear_zone);
    plot(fit_curve,'ro-');
    grid; xlabel('i'); ylabel('lyapunov_curve'); title('Logistic')
    Lyapunov1 = F(1)
end