Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment
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 coexi...
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Format: | Article |
Language: | English |
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Wiley
2010-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2010/503695 |
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author | Ahmad Naimzada Mauro Sodini |
author_facet | Ahmad Naimzada Mauro Sodini |
author_sort | Ahmad Naimzada |
collection | DOAJ |
description | 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. |
format | Article |
id | doaj-art-7af389132dc1424eb784df26897d8a41 |
institution | Kabale University |
issn | 1026-0226 1607-887X |
language | English |
publishDate | 2010-01-01 |
publisher | Wiley |
record_format | Article |
series | Discrete Dynamics in Nature and Society |
spelling | doaj-art-7af389132dc1424eb784df26897d8a412025-02-03T01:08:53ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/503695503695Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with EnvironmentAhmad Naimzada0Mauro Sodini1Università degli Studi di Milano-Bicocca, Piazza dell'Ateneo Nuovo 1, 20126 Milano, ItalyUniversity of Pisa, 56126 Pisa, ItalyThis 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.http://dx.doi.org/10.1155/2010/503695 |
spellingShingle | Ahmad Naimzada Mauro Sodini Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment Discrete Dynamics in Nature and Society |
title | Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment |
title_full | Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment |
title_fullStr | Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment |
title_full_unstemmed | Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment |
title_short | Multiple Attractors and Nonlinear Dynamics in an Overlapping Generations Model with Environment |
title_sort | multiple attractors and nonlinear dynamics in an overlapping generations model with environment |
url | http://dx.doi.org/10.1155/2010/503695 |
work_keys_str_mv | AT ahmadnaimzada multipleattractorsandnonlineardynamicsinanoverlappinggenerationsmodelwithenvironment AT maurosodini multipleattractorsandnonlineardynamicsinanoverlappinggenerationsmodelwithenvironment |