From Deterministic ODEs to Dynamic Structural Causal Models
  Structural Causal Models are widely used in causal modelling, but how they
relate to other modelling tools is poorly understood. In this paper we provide
a novel perspective on the relationship between Ordinary Differential Equations
and Structural Causal Models. We show how, under certain conditions, the
asymptotic behaviour of an Ordinary Differential Equation under non-constant
interventions can be modelled using Dynamic Structural Causal Models. In
contrast to earlier work, we study not only the effect of interventions on
equilibrium states; rather, we model asymptotic behaviour that is dynamic under
interventions that vary in time, and include as a special case the study of
static equilibria.
