Endogenous cycles in discontinuous growth models

Fabio Tramontana; Laura Gardini; Anna Agliari

doi:10.1016/j.matcom.2010.12.002

Endogenous cycles in discontinuous growth models

Fabio Tramontana, Laura Gardini, Anna Agliari

University of Urbino

Risultato della ricerca: Contributo in rivista › Articolo in rivista › 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	English
pagine (da-a)	1625-1639
Numero di pagine	15
Rivista	Mathematics and Computers in Simulation
DOI	https://doi.org/10.1016/j.matcom.2010.12.002
Stato di pubblicazione	Pubblicato - 2011

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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title = "Endogenous cycles in discontinuous growth models",

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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T1 - Endogenous cycles in discontinuous growth models

AU - Tramontana, Fabio

AU - Gardini, Laura

AU - Agliari, Anna

PY - 2011

Y1 - 2011

N2 - 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.

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

UR - http://hdl.handle.net/10807/5357

U2 - 10.1016/j.matcom.2010.12.002

DO - 10.1016/j.matcom.2010.12.002

M3 - Article

SN - 0378-4754

SP - 1625

EP - 1639

JO - Mathematics and Computers in Simulation

JF - Mathematics and Computers in Simulation

ER -

Endogenous cycles in discontinuous growth models

Abstract

Keywords

OSS delle Nazioni Unite

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