Applied Maths Seminar: Omelchenko -- Inverse problems related to pattern formation on coupled oscillator networks, or where do chimeras live

Oleh Omelchenko (University of Potsdam) is visiting us until the 19th October, and will
be giving a seminar this Wednesday in Carslaw 275 at 1pm.  We will go to lunch with the
speaker at Thai@Home, leaving Carslaw at 12:05 promptly.  All are welcome to both the
seminar and lunch (which is free for students).  

Title: Inverse problems related to pattern formation on coupled oscillator networks, or
where do chimeras live 

Abstract: Mathematical models describing the collective behavior of large populations of
coupled phase oscillators can be found in various fields of physics, chemistry, and
biology.  In the thermodynamic limit, when the number of oscillators tends to infinity
and the distribution of oscillator parameters converges to some probability density, it
is often observed that after a sufficiently long transient, the state of the population
approaches some statistical equilibrium.  In this talk, we describe how the properties
of this equilibrium can be used to reconstruct system parameters of the underlying
network.  The effectiveness of the approach is demonstrated by its application to
so-called chimera states in networks of phase oscillators with nonlocal coupling.