title: Complex mixed-mode periodic and chaotic oscillations in a simple three-variable model of nonlinear system.
abstract: A detailed study of a generic model exhibiting new type of mixed-mode oscillations is presented. Period doubling and various period adding sequences of bifurcations are observed. New type of a family of 1D (one-dimensional) return maps is found. The maps are discontinuous at three points and consist of four branches. They are not invertible. The model describes in a qualitative way mixed-mode oscillations with two types of small amplitude oscillations at local maxima and local minima of large amplitude oscillations, which have been observed recently in the Belousov-Zhabotinsky system. (c) 2000 American Institute of Physics.
authors.affiliation: Institute of Physical Chemistry, Polish Academy of Sciences, Kasprzaka 44/52, 01-224 Warsaw, Poland.
authors.forename: Andrzej L.
authors.initials: AL
authors.lastname: Kawczynski
authors.forename: Vyacheslav O.
authors.initials: VO
authors.lastname: Khavrus
authors.forename: Peter E.
authors.initials: PE
authors.lastname: Strizhak