Canards of mixed type in a neural burster - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Physical Review E : Statistical, Nonlinear, and Soft Matter Physics Year : 2012

Canards of mixed type in a neural burster

Abstract

Canards are solutions of slow-fast systems that spend long times near branches of repelling equilibria, periodic orbits, or higher-dimensional invariant sets. Here, we report on the observation of a new type of canard orbit, labeled a canard of mixed type. This canard orbit is a hybrid of the classical limit cycle canards, which spend long times near attracting and repelling branches of equilibria, and torus canards, which spend long times near attracting and repelling branches of periodic orbits. The canards of mixed type arise in a model of neural bursting activity of fold-fold cycle type, and, as other canard phenomena, separate different dynamic states.
No file

Dates and versions

hal-00765223 , version 1 (14-12-2012)

Identifiers

Cite

Mathieu Desroches, John Burke, Tasso J. Kaper, Mark A. Kramer. Canards of mixed type in a neural burster. Physical Review E : Statistical, Nonlinear, and Soft Matter Physics, 2012, 85 (2), 6 p. ⟨10.1103/PhysRevE.85.021920⟩. ⟨hal-00765223⟩
125 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More