Question

Determine the stability of a non-linear system governed by equation $\dot x_1 = x_2-2x_1^2$ and $\dot x_2 = -x_1$

Answer 1

Find all equilibrium points for each of the following systems. $\dot{x_1} =-x_1+x_2(1+x_1)$, $\dot{x}_2=-3x_1(1-x_1)$