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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Main Authors: Ahmad Naimzada, Mauro Sodini
Format: Article
Language:English
Published: Wiley 2010-01-01
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.
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institution Kabale University
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publishDate 2010-01-01
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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
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AT maurosodini multipleattractorsandnonlineardynamicsinanoverlappinggenerationsmodelwithenvironment