lyapunov指数计算方法

lyapunov指数计算常用方法，包括定义法、小数据量法、正交法、wolf法，以lorenz系统为例，有详细的说明，都经过调试，可以直接使用

function C_I=correlation_integral（XMr）
%the function is used to calculate correlation integral
%C_I:the value of the correlation integral
%X:the reconstituted state spaceM is a m*M matrix
%m:the embedding demention
%M:M is the number of embedded points in m-dimensional sapce
%r:the radius of the Heaviside functionsigma/2%calculate the sum of all the values of Heaviside
%skyhawk
sum_H=0;
for i=1:M
%     fprintf（‘%d/%d\n‘iM）;
    for j=i+1:M
        d=norm（（X（:i）-X（:j））inf）;%calculat the distances of each two points in matris M with sup-norm
        sita=heaviside（rd）;%calculate the value of the heaviside function
        sum_H=sum_H+sita;
    end
end
C_I=2*sum_H/（M*（M-1））;%the value of correlation integral

 属性            大小     日期    时间   名称
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     文件        752  2011-04-10 09:41  8th_week\C-C计算延迟时间和嵌入维数\correlation_integral.m

     文件       1693  2011-04-10 09:41  8th_week\C-C计算延迟时间和嵌入维数\C_CMethod.m

     文件        283  2011-04-10 09:41  8th_week\C-C计算延迟时间和嵌入维数\disjoint.m

     文件        286  2011-04-10 09:41  8th_week\C-C计算延迟时间和嵌入维数\heaviside.m

     文件        296  2011-04-10 09:41  8th_week\C-C计算延迟时间和嵌入维数\reconstitution.m

     文件       6932  2011-04-10 09:41  8th_week\C-C计算延迟时间和嵌入维数\untitled.fig

     文件        214  2011-04-14 20:50  8th_week\C-C计算延迟时间和嵌入维数\lorenz_phase.m

     文件      21069  2011-04-14 20:49  8th_week\C-C计算延迟时间和嵌入维数\lorenz_sim.mdl

     文件        361  2011-04-16 21:44  8th_week\C-C计算延迟时间和嵌入维数\m文件介绍.txt

     文件        739  2011-04-12 15:21  8th_week\tau_test\zi_xiangguan\zi_xiangguan.m

     文件        264  2011-04-12 15:20  8th_week\tau_test\zi_xiangguan\lorenz_phase.m

     文件      21069  2011-04-12 14:54  8th_week\tau_test\zi_xiangguan\lorenz_sim.mdl

     文件        143  2011-04-17 16:08  8th_week\tau_test\zi_xiangguan\m文件介绍.txt

     文件        868  2011-04-10 09:41  8th_week\tau_test\pinjun_weiyi\pinjun_weiyi.m

     文件        743  2011-04-10 09:41  8th_week\tau_test\pinjun_weiyi\pinjun_weiyi.asv

     文件        303  2011-04-10 09:41  8th_week\tau_test\pinjun_weiyi\reconstitution.m

     文件        545  2011-04-10 09:41  8th_week\tau_test\pinjun_weiyi\Untitled2.m

     文件       3023  2011-04-10 09:41  8th_week\tau_test\pinjun_weiyi\S_weiyi.fig

     文件        246  2011-04-12 15:27  8th_week\tau_test\pinjun_weiyi\lorenz_phase.m

     文件      21069  2011-04-12 14:54  8th_week\tau_test\pinjun_weiyi\lorenz_sim.mdl

     文件        238  2011-04-17 16:06  8th_week\tau_test\pinjun_weiyi\m文件介绍.txt

     文件         91  2011-04-17 16:03  8th_week\tau_test\m文件介绍.txt

     文件         88  2011-04-10 09:41  8th_week\m_test\jihe_bubian.m

     文件        272  2011-04-10 09:41  8th_week\m_test\cao_fangfa\cao.m

     文件        789  2011-04-10 09:41  8th_week\m_test\cao_fangfa\zui_lin.m

     文件        303  2011-04-10 09:41  8th_week\m_test\cao_fangfa\reconstitution.m

     文件        757  2011-04-10 09:41  8th_week\m_test\cao_fangfa\zui_lin.asv

     文件        265  2011-04-12 16:06  8th_week\m_test\cao_fangfa\lorenz_phase.m

     文件      21069  2011-04-12 14:53  8th_week\m_test\cao_fangfa\lorenz_sim.mdl

     文件        729  2011-04-13 13:45  8th_week\m_test\cao_fangfa\data.m

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