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Medientyp:
E-Artikel
Titel:
Complex mixed-mode periodic and chaotic oscillations in a simple three-variable model of nonlinear system
Beteiligte:
Kawczyński, Andrzej L.;
Khavrus, Vyacheslav O.;
Strizhak, Peter E.
Erschienen:
AIP Publishing, 2000
Erschienen in:Chaos: An Interdisciplinary Journal of Nonlinear Science
Sprache:
Englisch
DOI:
10.1063/1.166496
ISSN:
1054-1500;
1089-7682
Entstehung:
Anmerkungen:
Beschreibung:
<jats:p>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.</jats:p>