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Endogenous cycles in discontinuous growth models

  • Fabio Tramontana*
  • , Anna Agliari
  • , Laura Gardini
  • *Corresponding author
  • University of Urbino

Research output: Contribution to journalArticlepeer-review

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.
Original languageEnglish
Pages (from-to)1625-1639
Number of pages15
JournalMathematics and Computers in Simulation
Issue number81
DOIs
Publication statusPublished - 2011

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

  1. SDG 8 - Decent Work and Economic Growth
    SDG 8 Decent Work and Economic Growth

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • General Computer Science
  • Numerical Analysis
  • Modelling and Simulation
  • Applied Mathematics

Keywords

  • Economic Growth Models
  • border collision bifurcations
  • piecewise linear maps

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