Discrete Dynamics in Nature and Society (Jan 2010)

Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment

  • Ahmad Naimzada,
  • Mauro Sodini

DOI
https://doi.org/10.1155/2010/503695
Journal volume & issue
Vol. 2010

Abstract

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This paper develops a one-sector productive overlapping generations model with environment where a CES technology is assumed. Relying on numerical and geometrical approaches, various dynamic properties of the proposed model are explored: the existence of the phenomenon of multistability or the coexistence of different attractors was demonstrated. Finally, we describe a nontypical global bifurcation which determines the appearance of an attracting cycle.