We investigate the dynamical stability and phase transition behavior in a holographic superfluid model incorporating higher-order self-interaction terms

λ | ψ |^{4}

τ | ψ |^{6}

and a non-minimal coupling

h (ψ) = e^{α | ψ |^{2}}

. Thermodynamic and dynamical stability analyses show that the thermodynamic stability and dynamical stability of the system are consistent. Phase diagram analysis reveals rich critical and supercritical phenomena. For fixed

λ < 0

and

α

, increasing

τ

shrinks the first-order phase transition region to a critical point and then enters the supercritical region. When varying

α

, the system can exhibit no critical point or, most notably, a double critical phenomenon in which, as

α

increases, the system first enters the supercritical region and then re-enters the first-order phase transition region. This double critical phenomenon driven by a single parameter is reported for the first time in holographic superfluid models, revealing a complex nonmonotonic coupling effect between the non-minimal coupling and higher-order interaction terms.

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