of Petri nets. Whereas classical (discrete) Petri nets belong to the class of discrete event dynamic systems, the circulation of tokens in continuous Petri nets is a continuous phenomenon: tokens are assumed to be fluid, [*i.e.*]{}, a transition can fire an infinitesimal quantity of tokens. In this way, the continuous dynamics can be represented by a system of ordinary differential equations or differential inclusions.

Continuous Petri nets are usually introduced as a relaxed approximation of Petri nets, that helps understanding some of the properties of the underlying discrete model, allowing one to overcome the state space explosion that can occur in the latter. The continuous framework can also be seen as a scaling limit of a class of stochastic Petri nets (see [@darling2008diff]), where the marking $M_p$ of place $p$ in the fluid model is the finite limit of $M_p(N)/N$, with $N$ being a scaling ratio tending to infinity, and where the firing times of transitions follow a Poisson distribution.

An important effort has been devoted to the comparison between continuous nets and their discrete counterparts. For example, the relationship between reachability of continuous Petri nets and of discrete Petri nets is well understood (see [@recalde1999autonomous]). A recent introduction to 