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

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????文件?????393070??2003-11-25?13:25??Chaos?Toolbox?Ver.2.0\Reference\Nonlinear?dynamics?delay?times?and?embedding?windows.pdf

?????文件?????243865??2003-11-19?08:31??Chaos?Toolbox?Ver.2.0\Reference\基于Lyapunov指數改進算法的邊坡位移預測.caj

?????文件???????1079??2004-07-29?21:28??Chaos?Toolbox?Ver.2.0\Reference\混沌工具箱使用幫助.txt

?????文件??????47104??2004-07-29?21:16??Chaos?Toolbox?Ver.2.0\Reference\C-C方法求時間延遲程序設計.doc

?????文件?????178688??2004-07-29?21:37??Chaos?Toolbox?Ver.2.0\Reference\基于混沌理論的太陽黑子時間序列預測.doc

?????文件????????732??2003-10-14?15:17??Chaos?Toolbox?Ver.2.0\Main\pre_by_lya.m

?????文件???????6436??2003-08-20?10:22??Chaos?Toolbox?Ver.2.0\Main\pre_by_lya_new.m

?????文件????????296??2003-11-30?18:51??Chaos?Toolbox?Ver.2.0\Main\reconstitution.m

?????文件???????1693??2004-07-29?21:17??Chaos?Toolbox?Ver.2.0\Main\C_CMethod.m

?????文件????????752??2004-07-29?21:19??Chaos?Toolbox?Ver.2.0\Main\correlation_integral.m

?????文件????????283??2004-07-29?21:19??Chaos?Toolbox?Ver.2.0\Main\disjoint.m

?????文件???????1296??2004-07-29?21:19??Chaos?Toolbox?Ver.2.0\Main\G_P.m

?????文件????????286??2004-07-29?21:20??Chaos?Toolbox?Ver.2.0\Main\heaviside.m

?????文件???????1744??2004-07-29?21:20??Chaos?Toolbox?Ver.2.0\Main\largest_lyapunov_exponent.m

?????文件???????2407??2004-03-23?13:46??Chaos?Toolbox?Ver.2.0\Main\lyapunov_rosenstein.m

?????文件???????5574??2004-07-29?21:21??Chaos?Toolbox?Ver.2.0\Main\lyapunov_wolf.m

?????文件????????557??2004-07-29?21:22??Chaos?Toolbox?Ver.2.0\Main\MainPre_by_jiaquanyijie_1.m

?????文件???????1049??2004-07-29?21:22??Chaos?Toolbox?Ver.2.0\Main\MainPre_by_jiaquanyijie_n.m

?????文件????????899??2004-07-29?21:23??Chaos?Toolbox?Ver.2.0\Main\MainPre_by_Lya_1.m

?????文件???????1129??2004-07-29?21:23??Chaos?Toolbox?Ver.2.0\Main\MainPre_by_Lya_n.m

?????文件???????5168??2004-07-29?21:23??Chaos?Toolbox?Ver.2.0\Main\nearest_point.m

?????文件???????1392??2004-07-29?21:18??Chaos?Toolbox?Ver.2.0\Main\C_CMethod_independent.m

?????目錄??????????0??2008-11-24?09:27??Chaos?Toolbox?Ver.2.0\Reference

?????目錄??????????0??2008-11-24?09:27??Chaos?Toolbox?Ver.2.0\Main

?????目錄??????????0??2008-11-24?09:27??Chaos?Toolbox?Ver.2.0

-----------?---------??----------?-----??----

???????????????895717????????????????????26