Display Abstract

Title Oscillations in the model of bipolar disorder.

Name Ekaterina Kutafina
Country Poland
Email ekaterina.kutafina@gmail.com
Co-Author(s) P. Szmolyan and I. Kosiuk
Submit Time 2014-02-28 01:50:43
Special Session 112: Nonlinear dynamics in neuroscience
We study a phenomenological ODE model of the bipolar disorder which shows canard phenomena and mixed mode oscillations. The geometry of this four dimensional system is complicated, so the majority of results is based on numerical simulations. However some theoretical understanding could be gained by two small parameters approach combined with blow-up theory.