Experimental and Numerical Observation of Successive Mixed-Mode Oscillation-Incrementing Bifurcations in an Extended Bonhoeffer–van der Pol Oscillator
2018 ◽
Vol 28
(14)
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pp. 1830047
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Keyword(s):
Mixed-mode oscillation-incrementing bifurcations (MMOIBs) are a universal phenomenon appearing in a large class of mixed-mode oscillation (MMO)-generating dynamics that appear to be governed by asymmetric Farey arithmetic. This report presents experimental and numerical observations of the simplest MMOIBs generated by an extended Bonhoeffer–van der Pol circuit. The results indicate that maintaining a constant temperature during the circuit experiments is required to yield stable MMOs and MMOIBs. We also clarify how the firing number variations related to MMOIB phenomena follow asymmetric Farey arithmetic.
2018 ◽
Vol 2018
(10)
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Keyword(s):
2021 ◽
Vol 31
(08)
◽
pp. 2150121
2017 ◽
Vol 353-354
◽
pp. 48-57
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Keyword(s):
2016 ◽
Vol 2016
(3)
◽
pp. 033A01
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2018 ◽
Vol 2018
(6)
◽
Keyword(s):
2010 ◽
Vol 20
(2)
◽
pp. 023107
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Keyword(s):
2015 ◽
Vol 471
(2184)
◽
pp. 20150638
◽
2008 ◽
Vol 18
(1)
◽
pp. 015115
◽
Keyword(s):