function?OUT=cheneq（tX）
%CHENEQ??Chen?equation?
%??????????（a?3rd-order?continuous?autonomous?system）:
%
%???????????????dx/dt?=?SIGMA*（y?-?x）
%???????????????dy/dt?=?RHO*x?-?y?-x*z
%???????????????dz/dt=?x*y?-?BETA*z
%
%????????In?this?demo?SIGMA?=?16?RHO?=?45.92?BETA?=?4
%????????Initial?conditions:?x（0）?=?1?y（0）?=?1?z（0）?=?1;
%????????Reference?values:?LE1?=?1.497?LE2?=?0.00?LE3?=?-22.46?LD?=?2.07
%
%????????The?reference?values?are?from?the?following?references:
%
%????????[1]?A.?Wolf?J.?B.?Swift?H.?L.?Swinney?and?J.?A.?Vastano
%????????????“Determining?Lyapunov?Exponents?from?a?Time?Series“
%????????????Physica?D?Vol.?16?pp.?285-317?1985.
%
%????????[2]?Keith?Briggs?“An?Improved?Method?for?Estimating?Liapunov
%????????????Exponents?of?Chaotic?Time?Series“?Phys.?Lett.?A?Vol.?151
%????????????pp.?27-32?Nov.?1990.

%????????by?Steve?Wai?Kam?SIU?Jun.?29?1998.

%PARAMETERS
a?=?33;
b?=?3;
c?=?28;

%Rearrange?input?data?in?desired?format
%Note:?the?input?data?is?a?column?vector
x=X（1）;y=X（2）;z=X（3）;
Q=[X（4）?X（7）?X（10）;
????X（5）?X（8）?X（11）;
????X（6）?X（9）?X（12）];

%Lorenz?equation
dx=a?*?（y?-?x）;
dy=（c?-?a）?*?x?-?x?*?z?+?c?*?y;
dz=x?*?y?-?b?*?z;

DX1=[dx;dy;dz];	%Output?data

%Linearized?system
?J=[????-a?????a??0;
?????c?-?a?-?z?c?-x;
??????????y??????x?-b];
??
%Variational?equation???
F=J*Q;

%Output?data?must?be?a?column?vector
OUT=[DX1;?F（:）];

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

?????文件???????1434??2011-05-19?11:12??（3）Lyapunov指數\cheneq.asv

?????文件???????1456??2011-05-19?11:12??（3）Lyapunov指數\cheneq.m

?????文件???????9379??2011-05-19?11:12??（3）Lyapunov指數\demoparm.m

?????文件???????1839??2011-05-19?11:12??（3）Lyapunov指數\duffing.m

?????文件??????10556??2011-05-19?11:12??（3）Lyapunov指數\findlyap.m

?????文件???????1093??2011-05-19?11:12??（3）Lyapunov指數\henon.m

?????文件????????496??2011-05-19?11:12??（3）Lyapunov指數\hs_err_pid4044.log

?????文件??????20015??2011-05-19?11:12??（3）Lyapunov指數\let.m

?????文件???????2244??2011-05-19?11:12??（3）Lyapunov指數\lethelp.m

?????文件????????650??2011-05-19?11:12??（3）Lyapunov指數\logistic.m

?????文件???????1409??2011-05-19?11:12??（3）Lyapunov指數\lorenzeq.m

?????文件??????11379??2011-05-19?11:12??（3）Lyapunov指數\readme.m

?????文件???????1190??2011-05-19?11:12??（3）Lyapunov指數\rossler.m

?????文件???????5555??2011-05-19?11:12??（3）Lyapunov指數\sethelp.m

?????文件??????30822??2011-05-19?11:12??（3）Lyapunov指數\setting.m

?????文件???????5557??2011-05-19?11:12??（3）Lyapunov指數\startlet.m

?????文件???????1265??2011-05-19?11:12??（3）Lyapunov指數\stewart.m

?????文件???????1161??2011-05-19?11:12??（3）Lyapunov指數\vderpol.m

?????文件?????183808??2011-05-19?11:12??（3）Lyapunov指數\使用說明.doc

?????目錄??????????0??2011-05-23?13:48??（3）Lyapunov指數

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???????????????291308????????????????????20