Endogenous cycles in discontinuous growth models

Fabio Tramontana; Anna Agliari; Laura Gardini

doi:10.1016/j.matcom.2010.12.002

Endogenous cycles in discontinuous growth models

Fabio Tramontana^*, Anna Agliari, Laura Gardini

^*Autore corrispondente per questo lavoro

University of Urbino

Risultato della ricerca: Contributo in rivista › Articolo › peer review

13 Citazioni (Scopus)

Abstract

In this paper we consider a discontinuous one-dimensional piecewise linear model describing a neoclassical growth model. These kind of maps are widely used in the applied context. We determine the analytical expressions of border collision bifurcation curves, responsible for the observed dynamics, which consists of attracting cycles of any period and of quasiperiodic trajectories in exceptional cases.

Lingua originale	Inglese
pagine (da-a)	1625-1639
Numero di pagine	15
Rivista	Mathematics and Computers in Simulation
Numero di pubblicazione	81
DOI	https://doi.org/10.1016/j.matcom.2010.12.002
Stato di pubblicazione	Pubblicato - 2011

All Science Journal Classification (ASJC) codes

Informatica Teorica
Informatica Generale
Analisi Numerica
Modellazione e Simulazione
Matematica Applicata

Keywords

Economic Growth Models
border collision bifurcations
piecewise linear maps

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10.1016/j.matcom.2010.12.002

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abstract = "In this paper we consider a discontinuous one-dimensional piecewise linear model describing a neoclassical growth model. These kind of maps are widely used in the applied context. We determine the analytical expressions of border collision bifurcation curves, responsible for the observed dynamics, which consists of attracting cycles of any period and of quasiperiodic trajectories in exceptional cases.",

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AU - Tramontana, Fabio

AU - Agliari, Anna

AU - Gardini, Laura

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AB - In this paper we consider a discontinuous one-dimensional piecewise linear model describing a neoclassical growth model. These kind of maps are widely used in the applied context. We determine the analytical expressions of border collision bifurcation curves, responsible for the observed dynamics, which consists of attracting cycles of any period and of quasiperiodic trajectories in exceptional cases.

KW - Economic Growth Models

KW - border collision bifurcations

KW - piecewise linear maps

KW - Economic Growth Models

KW - border collision bifurcations

KW - piecewise linear maps

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ER -

Endogenous cycles in discontinuous growth models

Abstract

All Science Journal Classification (ASJC) codes

Keywords

OSS delle Nazioni Unite

Accesso al documento

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