Complex Systems

Cusp-Shaped Return Maps with Period Adding in a Model of a 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


Period adding with the coexistence of successive attracting periodic orbits is observed in the model of a chemical system when the bifurcation parameter is changed. This phenomenon is characterized by a family of one-dimensional return maps having a cusp shape with positive Schwarzian derivative that exhibits a saddle-node bifurcation.