torus canards
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2021 ◽  
Vol 31 (6) ◽  
pp. 063129
Author(s):  
E. Baspinar ◽  
D. Avitabile ◽  
M. Desroches

2020 ◽  
Vol 90 (3) ◽  
pp. 501
Author(s):  
О.Е. Дик

The transitions from tonic spiking to bursting for the nociceptive neuron model have been studied with changing the external stimulus value. The presence of the fold limit cycle bifurcation in the structure of the bifurcation diagram of the fast subsystem and the torus bifurcation in the structure of the bifurcation diagram of the full system lead to the emergence of special solutions of the type torus canards in these transitions. This confirms the assumption that torus canards are an obligatory feature for transitions between rhythmic and burst discharges


2017 ◽  
Vol 356-357 ◽  
pp. 37-64 ◽  
Author(s):  
Theodore Vo
Keyword(s):  

2015 ◽  
Vol 26 (2) ◽  
pp. 405-451 ◽  
Author(s):  
John Burke ◽  
Mathieu Desroches ◽  
Albert Granados ◽  
Tasso J. Kaper ◽  
Martin Krupa ◽  
...  

2015 ◽  
Vol 14 (4) ◽  
pp. 1808-1844 ◽  
Author(s):  
Kerry-Lyn Roberts ◽  
Jonathan E. Rubin ◽  
Martin Wechselberger
Keyword(s):  

2012 ◽  
Vol 2 (1) ◽  
pp. 3 ◽  
Author(s):  
John Burke ◽  
Mathieu Desroches ◽  
Anna M Barry ◽  
Tasso J Kaper ◽  
Mark A Kramer
Keyword(s):  

2011 ◽  
Vol 21 (2) ◽  
pp. 023131 ◽  
Author(s):  
G. Nicholas Benes ◽  
Anna M. Barry ◽  
Tasso J. Kaper ◽  
Mark A. Kramer ◽  
John Burke

2008 ◽  
Vol 101 (6) ◽  
Author(s):  
Mark A. Kramer ◽  
Roger D. Traub ◽  
Nancy J. Kopell

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