Fast–Slow Bursters in the Unfolding of a High Codimension Singularity and the Ultra-slow Transitions of Classes

The Bogdanov–Takens Normal Form: A Minimal Model for Single Neuron Dynamics

(2015) Ulises Pereira et al.   Entropy

Understanding and Distinguishing Three-Time-Scale Oscillations: Case Study in a Coupled Morris--Lecar System

(2015) Pingyu Nan et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Neural Excitability and Singular Bifurcations

(2015) Peter De Maesschalck et al.   Journal of Mathematical Neuroscience

On the nature of seizure dynamics

(2014) Viktor K. Jirsa et al.   BRAIN

Modeling the Modulation of Neuronal Bursting: A Singularity Theory Approach

(2014) Alessio Franci et al.   SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS

Cross-currents between biology and mathematics: The codimension of pseudo-plateau bursting

(2012) Krasimira Tsaneva-Atanasova et al.   DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS

Neural Mass Activity, Bifurcations, and Epilepsy

(2011) Jonathan Touboul et al.   NEURAL COMPUTATION

Slow–fast Bogdanov–Takens bifurcations

(2010) P. De Maesschalck et al.   JOURNAL OF DIFFERENTIAL EQUATIONS

Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants

(2010) Andreas Spiegler et al.   NEUROIMAGE