Economic Periodic Orbits: A Theory of Exponential Asymptotic Stability

Pascal Stiefenhofer, Peter Giesl

    Research output: Contribution to journalArticlepeer-review


    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
    Issue number1
    Publication statusPublished - 11 Apr 2019

    Bibliographical note

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


    • Economic Equilibrium
    • Dynamical Systems
    • Exponential Asymptotic Stability


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