| %1& U2 ^& W+ t p) K1 @; L1 Z syms x y b b1 n m b2 p c g r;" \# x ?: b# ?- K% d, S" t v11=y*(-b1-m+r)+(1-y)*(-b1-b2+n); v12=y*r-(1-y)*b2; v1=simplify(x*v11-(1-x)*v12)7 f; A }, h% \/ b6 z( B4 u fx=simplify(x*(v11-v1))+ b L) d; R2 y7 ^ %2 v21=x*(-c+p+m+g)+(1-x)*(-c+p+g); v22=x*(p-n)+(1-x)*p;+ ?: g( v3 O6 p( B, R4 [, _ v2=simplify(y*v21-(1-y)*v22)% w! \: K0 o7 k A! m fy=simplify(y*(v21-v2))+ Y f6 A& C6 s* n8 Y %构建雅可比矩阵5 ?+ Z% k* J7 H disp=(['雅可比矩阵']); A = [diff(fx,x) diff(fx,y); diff(fy,x) diff(fy,y)]2 e; B9 q2 b& ~9 Z+ `2 S %2求均衡点 % P: I2 Z# T6 n3 v0 x) ]0 S+ k equ=[fx==0,fy==0]; / N. ]" m U! y) c% Y2 M% q answ=solve(equ,[x,y]); : W& a# ]+ s6 J9 C3 `9 `5 ] disp('均衡点:');A1=[answ.x,answ.y] %均衡点个数 disp(['均衡点个数:']);length(answ.x) |
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