Economic Periodic Orbits: A Theory of Exponential Asymptotic Stability

Pascal Stiefenhofer, Peter Giesl

Research output: Contribution to journalArticle

Abstract

This paper establishes the conditions for existence, uniqueness, and exponentially asymptotically stability of periodic orbits of a dynamical system defined by a set of ordinary differential equations with discontinuous righthand side. Moreover, a formula for the basin of attraction is provided. These results equip economists with a set of tools, which will allow them to generate new analytic results.
Original languageEnglish
Pages (from-to)9-16
JournalNonlinear Analysis and Differential Equations
Volume7
Issue number1
DOIs
Publication statusPublished - 11 Apr 2019

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Bibliographical note

This article is distributed under the Creative Commons by-nc-nd Attribution License. Copyright © 2019 Hikari Ltd.

Keywords

  • Economic Equilibrium
  • Dynamical Systems
  • Exponential Asymptotic Stability

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