A mass- (m) particle moves along the (x)-axis subject to a potential energy (V(x)=lambdaleft[left(x^{2}-a^{2} ight)^{2}+ ight.) (left.2

A mass- \(m\) particle moves along the \(x\)-axis subject to a potential energy \(V(x)=\lambda\left[\left(x^{2}-a^{2}\right)^{2}+\right.\) \(\left.2 a x^{3}\right]\), where \(\lambda\) and \(a\) are positive constants.

(a) Find all equilibrium points and determine which are stable.

(b) Find the angular frequency of small oscillations about the ground state.