This work deals with the dynamical system analysis of the Locally Rotationally Symmetric Bianchi type-I cosmological model in f(Q) gravity (where Q is the non-metricity). Here we Constructed cosmological models in f(Q) gravity which is based on the propositions of forms of f(Q). For the model, we take \(f(Q)=Q+\xi Q^{2}\) where \(\xi \) is constant. We reduce the evolution equation to an autonomous system of ordinary differential equations by appropriate substitution of the variables to setup the corresponding dynamical system and then we calculate the critical points for the model and examine their stability. We find out that we get four critical points, out of these, one critical point is stable and other three critical points are saddle points. And corresponding to the critical points A and B, our model corresponds to the quintessence dark energy cosmological model while the critical points C and D correspond to the phantom dark energy model. We also present the phase plot analysis for the derived model.
