for the system
dx/dt= -vx+zy
dy/dt= -vy+(z-a)x
dz/dt= 1-xy
a,v are positive parameter.
after finding the fixed points, how am i supposed to classify them??
Should I build a 3*3 matrix??
If so, how am I supposed to take derivative, cuz there are non-linear turms like zy and xy????????????????
Thanks