cover_economics-letters.gif

On Mitra's Sufficient Condition for Topological Chaos: Seventeen Years Later

This letter reports an easy extension of Mitra’s “easily verifiable” sufficient condition for topological chaos in unimodal maps, and offers its application to reduced-form representations of two economic models that have figured prominently in the recent literature in economic dynamics: the check- and the M-map pertaining to the 2-sector Robinson–Solow–Srinivasan (RSS) and Matsuyama models respectively. A consideration of the iterates of these maps establishes the complementarity of the useful 2001 condition with the 1982 (LMPY) theorem of Li–Misiurewicz–Pianigiani–Yorke when supplemented by a geometric construction elaborated in Khan–Piazza (2011).

01. March 2018

Authors Liuchun Deng M. Ali Khan

Whom to contact

For Researchers

For Journalists

Mitglied der Leibniz-Gemeinschaft LogoTotal-Equality-LogoWeltoffen Logo