Journal article
Bifurcation structure of a model of bursting pancreatic cells
One- and two-dimensional bifurcation studies of a prototypic model of bursting oscillations in pancreatic P-cells reveal a squid-formed area of chaotic dynamics in the parameter plane, with period-doubling bifurcations on one side of the arms and saddle-node bifurcations on the other. The transition from this structure to the so-called period-adding structure is found to involve a subcritical period-doubling bifurcation and the emergence of type-III intermittency.
The period-adding transition itself is not smooth but consists of a saddle-node bifurcation in which (n + 1)-spike bursting behavior is born, slightly overlapping with a subcritical period-doubling bifurcation in which n-spike bursting behavior loses its stability.
Language: | English |
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Year: | 2001 |
Pages: | 3-13 |
ISSN: | 03032647 and 18728324 |
Types: | Journal article |
DOI: | 10.1016/s0303-2647(01)00142-3 |