Dr Mathieu Desroches
University of Bristol, UK
Numerical continuation: theory, implementation and recent advances
Wed June 29, 2011. 11.00am
In this talk, I will introduce the basics of numerical continuation, which is a family of schemes allowing to compute branches of solutions of nonlinear equations depending on one or several parameters. I will explain the theoretical grounds of this method as well as its numerical implementation to compute branches of equilibria, limit cycles and, more generally, orbit segments solutions of parametrized families of vector fields. Finally, I will present recent advances obtained using this method, in the context of dynamical systems with multiple time scales as well as in neuronal dynamics
