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[综合讨论] 毕业设计 十万火急 求助各位大虾 FHN模型中如何加入一耦合项

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发表于 2009-5-23 18:32 | 显示全部楼层 |阅读模式

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已知程序如下:
Stochastic_Evolution程序如下:
clc;
rand('state',0);
T_Start=0;
T_End=100;
T_Step=0.01;%步长
T_Num=(T_End-T_Start)/T_Step;
A=0.02; %信号幅值
Omega=2*pi*0.05;%  频率ω=2*pi*f
D=0.0000011;%噪声强度
X(1)=0;
V(1)=0.0;
W(1)=0.0;
T_Axis(1)=0;
VV=0;
for i=1:T_Num
    r1=rand(1);
    r2=rand(1);
    n1=sqrt(-2*log(r1))*cos(2*pi*r2);%式 16
    t=i*T_Step;
    Temp=X(i)+T_Step*Ufun(X(i),A,Omega,t);%为下式的Temp调用
    X(i+1)=Temp+1.0/2*T_Step^2*Ufun(X(i),A,Omega,t)*Udiff(X(i))+sqrt(2*D*T_Step)*n1;%式 24
    V(i+1)=V(i)+200*(T_Step*Ftf(V(i),W(i),A,Omega,t)+1.0/2*T_Step^2*Ftf(V(i),W

(i),A,Omega,t)*Fvf(V(i))+sqrt(2*D*T_Step)*n1);%由(9)得式26
    W(i+1)=W(i)+T_Step*(V(i)-W(i)-0.15)-1/2*T_Step^2*(V(i)-W(i)-0.15);%式 26
    S(i+1)=A*sin(Omega*t);
    T_Axis(i+1)=t;
end;
figure;
plot(T_Axis,S);
figure;
plot(T_Axis,X);
figure;
plot(T_Axis,V);
figure;

function Ft_f=Ftf(V,W,A,Omega,t)
Ft_f=V*(V-0.5)*(1-V)-W+0.04+A*sin(Omega*t);

function Fv_f=Fvf(V)
Fv_f=-3*V^2+2*(0.5+1)*V-0.5;

function U_diff=Udiff(X)
U_diff=1-3*X^2;

function U_fun=Ufun(X,A,Omega,t)
U_fun=X-X^3+A*sin(Omega*t);

function  [loc,val] = pickpeak(spec,npicks,rdiff)
%PICKPEAK Picks peaks
% [loc,val] = pickpeak(spec,npicks,rdiff)
%        spec   - data vector or matrix
%        npicks - number of peaks desired              [default = 2]
%        rdiff  - minimum spacing between picked peaks [default = 5]
%       loc    - vector of locations (indices) of the picked peaks
%        val    - vector corresponding values
%        A 0 in location (i,j) of array loc (or a NaN in array val)
%        indicates that the j-th data vector has less than i peaks
%        with a separation of rdiff or more.

%  Copyright (c) 1992-96,  United Signals & Systems, Inc. and The Mathworks, Inc.
%       $Revision: 1.2 $
%  A. Swami Jan 20, 1995.

%     RESTRICTED RIGHTS LEGEND
% Use, duplication, or disclosure by the Government is subject to
% restrictions as set forth in subparagraph (c) (1) (ii) of the
% Rights in Technical Data and Computer Software clause of DFARS
% 252.227-7013.
% Manufacturer: United Signals & Systems, Inc., P.O. Box 2374,
% Culver City, California 90231.
%
%  This material may be reproduced by or for the U.S. Government pursuant
%  to the copyright license under the clause at DFARS 252.227-7013.


% ---- parameter checks  -------------------------------------------

if (exist('rdiff') ~= 1)  rdiff =  5;                  end
if (exist('npicks') ~= 1) npicks = 2;                  end

% ---- convert row vectors to col vectors  -------------------------

[mrows,ncols]  = size(spec);
if (mrows==1) mrows=ncols; ncols=1; spec = spec(:);   end

% ---- edit out NaNs and Infs ---------------------------------------

good = find (finite(spec));
rmin = min(spec(good)) - 1;
bad  = find(~finite(spec));
if (~isempty(bad))
   spec(bad) = ones(size(bad)) * rmin;
end

% ---- find a peak, zero out the data around the peak, and repeat

val =  ones(npicks,ncols) * NaN ;
loc =  zeros(npicks,ncols) ;

for k=1:ncols
                                           % Find all local peaks:
    dx = diff([rmin; spec(:,k); rmin]);    % for a local peak at either end
    lp = find(dx(1:mrows)   >= 0 ...
            & dx(2:mrows+1) <=0);          % peak locations
    vp = spec(lp,k);                       % peak values

    for p=1:npicks
       [v,l] = max(vp);                   % find current maximum
       val(p,k) = v;  loc(p,k) = lp(l);   % save value and location

       ind = find(abs(lp(l)-lp) > rdiff);  % find peaks which are far away

       if (isempty(ind))
           break                           % no more local peaks to pick
       end
       vp  = vp(ind);                            % shrink peak value array
       lp  = lp(ind);                      % shrink peak location array
    end
end
以上是老师给的程序,要构造C*dV/dt=V-V^3-W+C/N*(Vi的综合)(i从1到N)。求C变化(C取三个不同的

值),N不变的,求V与t关系图形。
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