Specification of oscillating chemical models starting from a given linearized form

The Lotka-Volterra model is shown to be the simplest unique model among those models having the same linearized form. We also show that the two-dimensional explodator model is not unique in its own class: there are four models possessing the same linearized form. Finally, we propose a method for the construction of formal chemical models having prescribed properties (i.e. having prescribed a type of one or more equilibrium points).