Topological characterisation of a chaotic attractor with an additional branch generated from economic data

There are insights of chaotic properties in economic systems and data. To prove the existence of chaotic dynamics, the establishment of a deterministic model is mandatory. A global modelling tool (GPoM) is used to search for mathematical models of equations from economic data: unemployment, inflation and nominal exchange rate over 30 years. A system of three differential equations is selected as a model, whose solution is a chaotic attractor in R 3 . The model extracted from the data is not able to fit them, but it provides equations linking those multiple economic variables. The topological characterisation of the chaotic attractor solution exhibits an additional branch in its first return map to the Poincaré section. Consequences of this particular structure are analysed and interpreted economically. • Successful establishment of a three differential equations system generated with a global modelling tool from times series of economic interest (inflation, unemployment and the nominal exchange rate). • Topological characterisation of the chaotic attractor solution of the model containing an additional branch in its first return map to the Poincaré section. • The template describing the topology of the solution is interpreted in terms of economic signification.