Magmas form at depth, move upwards and evolve chemically through a combination of processes. Power-law relationships describe eruption magnitudes, frequencies, and durations. Such relationships are typical of non-linear and self-organised systems with critical points. A growing body of evidence indicates that several magma chambers connect before and during eruptions. In this work, we investigate the potential of the network approach through a prototype of magma pool interaction and magma transfer across the crust. In network terms, it describes a diffusion process on a dynamic spatial network, in which diffusion and network evolution are intertwined: the diffusion affects the network structure, and reciprocally. This model is a proof of concept where mechanisms are based on analogies: space and time are not realistic, the system is isothermal, etc. Nevertheless, it succeeds in showing that a system governed by the same mechanical rules and fed by a linear input of magma at the bottom, can result in nonlinear behaviors at the surface (e.g., episodic volcanic eruptions).