Journal
CHAOS
Volume 10, Issue 2, Pages 299-310Publisher
AMER INST PHYSICS
DOI: 10.1063/1.166496
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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. [S1054-1500(00)01102-2].
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