資源簡介
C-C方法計算時間延遲和嵌入維數(shù)
主程序：C_CMethod.m, C_CMethod_independent.m
子函數(shù)：correlation_integral.m(計算關(guān)聯(lián)積分)
disjoint.m(將時間序列拆分成t個不相關(guān)的子序列)
heaviside.m（計算時間序列的海維賽函數(shù)值）
參考文獻(xiàn)Nonlinear dynamics, delay times, and embedding windows。
計算Lyapunov指數(shù)：
largest_lyapunov_exponent.m（用呂金虎的方法計算最大Lyapunov指數(shù)）
參考文獻(xiàn)：基于Lyapunov指數(shù)改進(jìn)算法的邊坡位移預(yù)測。
lyapunov_wolf.m(用wolf方法計算最大Lyapunov指數(shù))
計算關(guān)聯(lián)維數(shù)：G_P.m(G-P算法)
混沌時間序列預(yù)測
主函數(shù)
MainPre_by_jiaquanyijie_1.m(該程序用加權(quán)一階局域法對數(shù)據(jù)進(jìn)行進(jìn)行一步預(yù)測)
MainPre_by_jiaquanyijie_n.m(該程序用加權(quán)一階局域法對數(shù)據(jù)進(jìn)行進(jìn)行n步預(yù)測)
MainPre_by_Lya_1.m(基于最大Lyapunov指數(shù)的一步預(yù)測)
MainPre_by_Lya_n.m(基于最大Lyapunov指數(shù)的n步預(yù)測)
nearest_point.m(計算最后一個相點(diǎn)的最近相點(diǎn)的位置及最短距離)
子函數(shù)
jiaquanyijie.m(該函數(shù)用加權(quán)一階局域法(xx)、零級近似(yy)和基于零級近似的加權(quán)一階局域法(zz)對時間數(shù)據(jù)進(jìn)行一步預(yù)測)
pre_by_lya.m(基于最大Lyapunov指數(shù)的預(yù)測方法)
pre_by_lya_new.m(改進(jìn)的基于最大Lyapunov指數(shù)的預(yù)測方法)
代碼片段和文件信息
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
%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????????752??2004-07-29?21:19??Chaos?Toolbox?Ver.2.0\Main\correlation_integral.m
?????文件???????1693??2004-07-29?21:17??Chaos?Toolbox?Ver.2.0\Main\C_CMethod.m
?????文件???????1392??2004-07-29?21:18??Chaos?Toolbox?Ver.2.0\Main\C_CMethod_independent.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????????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??????46592??2007-08-24?15:24??Chaos?Toolbox?Ver.2.0\Reference\C-C方法求時間延遲程序設(shè)計.doc
?????文件?????393070??2003-11-25?13:25??Chaos?Toolbox?Ver.2.0\Reference\Nonlinear?dynamics?delay?times?and?em
?????文件?????243865??2003-11-19?08:31??Chaos?Toolbox?Ver.2.0\Reference\基于Lyapunov指數(shù)改進(jìn)算法的邊坡位移預(yù)測.caj
?????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(yù)測.doc
?????文件???????1079??2004-07-29?21:28??Chaos?Toolbox?Ver.2.0\Reference\混沌工具箱使用幫助.txt
?????目錄??????????0??2007-06-06?21:34??Chaos?Toolbox?Ver.2.0\Main
?????目錄??????????0??2018-09-28?14:45??Chaos?Toolbox?Ver.2.0\Reference
?????目錄??????????0??2007-06-06?21:34??Chaos?Toolbox?Ver.2.0
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