Topological and phenomenological classification of bursting oscillations, Bulletin of Mathematical Biology, vol.45, issue.3, pp.413-439, 1995. ,
DOI : 10.1007/978-3-642-93360-8_26
Canard explosion and excitation in a model of the Belousov-Zhabotinskii reaction, The Journal of Physical Chemistry, vol.95, issue.22, pp.8706-8713, 1991. ,
DOI : 10.1021/j100175a053
Food chain chaos due to junction-fold point, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.31, issue.3, pp.514-525, 2001. ,
DOI : 10.1137/0152097
Food chain chaos due to Shilnikov???s orbit, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.73, issue.3, pp.533-538, 2002. ,
DOI : 10.1007/s002850050141
Food chain chaos due to transcritical point, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.21, issue.2, pp.578-585, 2003. ,
DOI : 10.2307/2318254
Mixed-Mode Oscillations with Multiple Time Scales, SIAM Review, vol.54, issue.2, pp.211-288, 2012. ,
DOI : 10.1137/100791233
URL : https://hal.archives-ouvertes.fr/hal-00765216
Mixed-mode bursting oscillations: Dynamics created by a slow passage through spike-adding canard explosion in a square-wave burster, Chaos: An Interdisciplinary Journal of Nonlinear Science, vol.49, issue.1, p.46106, 2013. ,
DOI : 10.1016/j.jtbi.2010.03.030
URL : https://hal.archives-ouvertes.fr/hal-00932344
Spike-adding in parabolic bursters: The role of folded-saddle canards, Physica D: Nonlinear Phenomena, vol.331, pp.58-70, 2016. ,
DOI : 10.1016/j.physd.2016.05.011
URL : https://hal.archives-ouvertes.fr/hal-01136874
AUTO-07p: Continuation and Bifurcation Software for Ordinary Differential Equations ,
Canard cycles and center manifolds, Memoirs of the American Mathematical Society, vol.121, issue.577, 1996. ,
DOI : 10.1090/memo/0577
Computing Slow Manifolds of Saddle Type, SIAM Journal on Applied Dynamical Systems, vol.8, issue.3, pp.854-879, 2009. ,
DOI : 10.1137/080741999
Singular Hopf Bifurcation in Systems with Two Slow Variables, SIAM Journal on Applied Dynamical Systems, vol.7, issue.4, pp.1355-1377, 2008. ,
DOI : 10.1137/080718528
A Model of Neuronal Bursting Using Three Coupled First Order Differential Equations, Proceedings of the Royal Society B: Biological Sciences, vol.221, issue.1222, pp.87-102, 1984. ,
DOI : 10.1098/rspb.1984.0024
NEURAL EXCITABILITY, SPIKING AND BURSTING, International Journal of Bifurcation and Chaos, vol.16, issue.06, pp.1171-1266, 2000. ,
DOI : 10.1007/s002850050115
Geometric singular perturbation theory, Lecture Notes in Mathematics, vol.44, 1995. ,
DOI : 10.1007/978-1-4612-4312-0
Canard-Mediated (De)Synchronization in Coupled Phantom Bursters, SIAM Journal on Applied Dynamical Systems, vol.15, issue.1, pp.580-608, 2016. ,
DOI : 10.1137/15M101840X
Geometric analysis of the Goldbeter minimal model for the embryonic cell cycle, Journal of Mathematical Biology, vol.2, issue.5, pp.1337-1368, 2016. ,
DOI : 10.1038/35103078
Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions, SIAM Journal on Mathematical Analysis, vol.33, issue.2, pp.286-314, 2001. ,
DOI : 10.1137/S0036141099360919
Mixed-Mode Oscillations in Three Time-Scale Systems: A Prototypical Example, SIAM Journal on Applied Dynamical Systems, vol.7, issue.2, pp.361-420, 2008. ,
DOI : 10.1137/070688912
Local analysis near a folded saddle-node singularity, Journal of Differential Equations, vol.248, issue.12, pp.2841-2888 ,
DOI : 10.1016/j.jde.2010.02.006
URL : https://hal.archives-ouvertes.fr/hal-00845979
Mixed-Mode Oscillations in a Multiple Time Scale Phantom Bursting System, SIAM Journal on Applied Dynamical Systems, vol.11, issue.4, pp.1458-1498, 2012. ,
DOI : 10.1137/110860136
URL : https://hal.archives-ouvertes.fr/hal-00669486
Analysis of Interacting Local Oscillation Mechanisms in Three-Timescale Systems, SIAM Journal on Applied Mathematics, vol.77, issue.3, pp.1020-1046, 2017. ,
DOI : 10.1137/16M1088429
Folded Saddles and Faux Canards, SIAM Journal on Applied Dynamical Systems, vol.16, issue.1, pp.546-596, 2017. ,
DOI : 10.1137/15M1045065
Dynamical Systems Analysis of Biophysical Models with Multiple Timescales, 2014. ,
Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris--Lecar System, SIAM Journal on Applied Dynamical Systems, vol.14, issue.3, pp.1518-1557, 2015. ,
DOI : 10.1137/140985494
Dynamical systems analysis of spike-adding mechanisms in transient bursts, The Journal of Mathematical Neuroscience, vol.2, issue.1, pp.1-28 ,
DOI : 10.1111/j.1365-2826.2010.02083.x
Graphical representation and stability conditions of predator-prey interactions, The American Naturalist, pp.209-223, 1963. ,
Canards in R3, Journal of Differential Equations, vol.177, issue.2, pp.419-453, 2001. ,
DOI : 10.1006/jdeq.2001.4001
Chaotic Spikes Arising from a Model of Bursting in Excitable Membranes, SIAM Journal on Applied Mathematics, vol.51, issue.5, pp.1418-1450, 1991. ,
DOI : 10.1137/0151071
Multiple Geometric Viewpoints of Mixed Mode Dynamics Associated with Pseudo-plateau Bursting, SIAM Journal on Applied Dynamical Systems, vol.12, issue.2, pp.789-830, 2013. ,
DOI : 10.1137/120892842
Existence and Bifurcation of Canards in $\mathbbR^3$ in the Case of a Folded Node, SIAM Journal on Applied Dynamical Systems, vol.4, issue.1, pp.101-139, 2005. ,
DOI : 10.1137/030601995