scholarly journals Generic torus canards

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

scholarly journals Canonical models for torus canards in elliptic bursters

2021 ◽  
Vol 31 (6) ◽  
pp. 063129
Author(s):  
E. Baspinar ◽  
D. Avitabile ◽  
M. Desroches
Keyword(s):  
Canonical Models ◽  
Torus Canards

An elementary model of torus canards

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

Averaging, Folded Singularities, and Torus Canards: Explaining Transitions between Bursting and Spiking in a Coupled Neuron Model

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

scholarly journals New Dynamics in Cerebellar Purkinje Cells: Torus Canards

2008 ◽  
Vol 101 (6) ◽  
Author(s):  
Mark A. Kramer ◽  
Roger D. Traub ◽  
Nancy J. Kopell
Keyword(s):  
Purkinje Cells ◽  
Cerebellar Purkinje Cells ◽  
Torus Canards

scholarly journals Механизмы перехода от ритмической активности к пачечной в модели ноцицептивного нейрона

2020 ◽  
Vol 90 (3) ◽  
pp. 501
Author(s):  
О.Е. Дик
Keyword(s):  
Bifurcation Diagram ◽  
Neuron Model ◽  
Nociceptive Neuron ◽  
Fast Subsystem ◽  
Full System ◽  
Stimulus Value ◽  
Special Solutions ◽  
Limit Cycle Bifurcation ◽  
Torus Canards ◽  
Torus Bifurcation

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

scholarly journals From Canards of Folded Singularities to Torus Canards in a Forced van der Pol Equation

2015 ◽  
Vol 26 (2) ◽  
pp. 405-451 ◽  
Author(s):  
John Burke ◽  
Mathieu Desroches ◽  
Albert Granados ◽  
Tasso J. Kaper ◽  
Martin Krupa ◽  
...  
Keyword(s):  
Van Der Pol Equation ◽  
Van Der Pol ◽  
Torus Canards

scholarly journals A showcase of torus canards in neuronal bursters

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