Complex Systems

Period-Adding Phenomenon in a Model of Chemical System Download PDF

Francesca Aicardi
International School for Advanced Studies,
34014 Trieste, Italy

Andrzej Lech Kawczynski
Institute of Physical Chemistry, Polish Academy of Sciences,
01224 Warsaw, Poland

Abstract

A continuous dynamical system is presented in which the period-adding phenomenon is observed when a bifurcation parameter is changed. This phenomenon is characterized by a family of one-dimensional return maps of a cusp shape which exhibits a saddle-node bifurcation.