Display Abstract

Title Slow-fast n-dimensional piecewise linear differential systems

Name Catalina Vich
Country Spain
Email catilin75@hotmail.com
Co-Author(s) R. Prohens, A.E. Teruel and C. Vich
Submit Time 2014-02-28 03:31:41
Special Session 112: Nonlinear dynamics in neuroscience
Slow-fast systems are a kind of system such that are used to modulate neural behaviours like bursts. The piecewise linear differential systems help to reproduce the dynamical richness of differential systems in the neuroscience modelling like global dynamics, forced behaviour, bifurcations and so on. However, they may also help to explain some of the previous phenomena. In this talk we present the slow-fast systems in n-dimensional piecewise linear framework providing some theorems about the existence, location and provenience of maximal and faux canard points.