大江东去 发表于 2013-9-13 19:45

如何给系统加脉冲


下面是一个分数阶吸引子,我想在每个方程上乘以一个脉冲函数不知道怎么办,求高手指教:function =FOChen(parameters, orders, TSim, Y0)
% time step:
h=0.005;
% number of calculated mesh points:

n=round(TSim/h);

%orders of derivatives, respectively:

q1=orders(1); q2=orders(2); q3=orders(3);

% constants of Chen's system:
b=parameters(1);
% binomial coefficients calculation:
cp1=1; cp2=1; cp3=1;
for j=1:n
   c1(j)=(1-(1+q1)/j)*cp1;
   c2(j)=(1-(1+q2)/j)*cp2;
   c3(j)=(1-(1+q3)/j)*cp3;
   cp1=c1(j); cp2=c2(j); cp3=c3(j);
end
% initial conditions setting:
x(1)=Y0(1); y(1)=Y0(2); z(1)=Y0(3);
% calculation of phase portraits /numerical solution/:
for i=2:n
   x(i)=(35*(y(i-1)-x(i-1))(此处乘以脉冲函数))*h^q1 - memo(x, c1, i);
   y(i)=(-x(i)*z(i-1)-7*x(i)+28*y(i-1))*h^q2 - memo(y, c2, i);
   z(i)=(x(i)*y(i)-b*z(i-1))*h^q3 - memo(z, c3, i);
end
for j=1:n
   Y(j,1)=x(j);
   Y(j,2)=y(j);
   Y(j,3)=z(j);
end
T=h:h:TSim;


=FOchen(, , 100, );
figure
plot3(y(:,1), y(:,3), y(:,2), 'k');
xlabel('z(t)'); ylabel('x(t)'); zlabel('y(t)'); grid;
title('chenxiyinzi x,y,z')
下面是脉冲函数:将此函数嵌入到程序的汉字处,谢谢》
function f=f(T)
T=0.005:0.005:10;
s=0.1;
w=2/s;
f=square(w*T);
plot(T,f);

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