Parabolic bursting, spike-adding, dips and slices in a minimal model
Keyword(s):
A minimal system for parabolic bursting, whose associated slow flow is integrable, is presented and studied both from the viewpoint of bifurcation theory of slow-fast systems, of the qualitative analysis of its phase portrait and of numerical simulations. We focus the analysis on the spike-adding phenomenon. After a reduction to a periodically forced one-dimensional system, we uncover the link with the dips and slices first discussed by J.E. Littlewood in his famous articles on the periodically forced van der Pol system.
2021 ◽
Vol 31
(06)
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pp. 2150115
1998 ◽
Vol 63
(6)
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pp. 761-769
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Keyword(s):
Keyword(s):
1996 ◽
Vol 87
(6)
◽
pp. 508-512