A dynamical system based on projection operator for solving absolute value equations associated with second-order cone

A new equivalent reformulation of the absolute value equations associated with second-order cone (SOCAVEs) is emphasised, from which a dynamical system based on projection operator for solving SOCAVEs is constructed. Under proper assumptions, the equilibrium points of the dynamical system exist and could be (globally) asymptotically stable. Some numerical simulations are given to show the effectiveness of the proposed method.