Nonlinear Dynamics

, Volume 80, Issue 4, pp 1839–1852 | Cite as

A fractional perspective to the bond graph modelling of world economies

  • J. A. Tenreiro MachadoEmail author
  • Maria Eugénia Mata
Original Paper


Inspired in dynamic systems theory and Brewer’s contributions to apply it to economics, this paper establishes a bond graph model. Two main variables, a set of inter-connectivities based on nodes and links (bonds) and a fractional order dynamical perspective, prove to be a good macro-economic representation of countries’ potential performance in nowadays globalization. The estimations based on time series for 50 countries throughout the last 50 decades confirm the accuracy of the model and the importance of scale for economic performance.


Fractional calculus Bond graphs Economy Modelling Dynamics 


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • J. A. Tenreiro Machado
    • 1
    Email author
  • Maria Eugénia Mata
    • 2
  1. 1.Dept. Electrical Engineering, Institute of EngineeringPolytechnic of PortoPortoPortugal
  2. 2.Faculdade de Economia, Nova SBEUniversidade Nova de LisboaLisbonPortugal

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