Vector field for the system \(\dot{x} = 1-x^2+y,\ \dot{y}=bx\) with different value of \(b\)


Move the slider below to change the value of \(b\) (shown on the slider). The red dot, located at \((0,-1)\), is the only fixed point; The green dot shows the movement under the vector field (click your mouse to change the starting point).