<p>This paper presents a dual-layer random neural network, in which an environmental layer and a dynamical layer are mutually connected by bi-stable memristors. These memristors dynamically regulate the interlayer coupling strength through a sinusoidal function of their internal state variable, thus giving rise to a gated mechanism characterized by abrupt responses and path-dependent dynamics. Order parameter scanning was conducted along bidirectional parameter paths. The results show that the network exhibits distinct explosive synchronization within certain ranges of interlayer coupling strength. This synchronization is marked by discontinuous abrupt transitions, hysteresis effects, and double-jump path structures. Notably, the intra-layer coupling strength of dynamical layer significantly affects the synchronization threshold, hysteresis width, and transition smoothness, highlighting the synergistic effects of memristor’s coupling mechanism and network structure. Additionally, the initial values of memristor’s state variables exert important influence on their accumulation rates over time, giving rise to alternating explosive synchronization. These results elucidate the pivotal role of memristors’ nonlinear regulation mechanism in governing explosive synchronization dynamics, offering theoretical insights and methodological guidelines for designing neural networks with multistability control and discontinuous response properties.</p>