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Discrete Dynamics in Nature and Society
Volume 2010, Article ID 503695, 11 pages
Research Article

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

1Università degli Studi di Milano-Bicocca, Piazza dell'Ateneo Nuovo 1, 20126 Milano, Italy
2University of Pisa, 56126 Pisa, Italy

Received 22 February 2010; Accepted 10 June 2010

Academic Editor: Akio Matsumoto

Copyright © 2010 Ahmad Naimzada and Mauro Sodini. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.