Speaker
Description
Swarmalators are agents that combine the features of swarming particles and
oscilla tors hence the name, contraction of ‘swarmer’ and ‘oscillator’. Each
particle is endowed with a phase which modulates its interaction force with
the other particles. In return, relative positions modulate phase
synchronization between interacting particles. In the talk, I will present a
model whree there is no force reciprocity: when a particle attracts another
one, the latter repels the former. This results in a pursuit behavior. I
will derive a hydrodynamic model and show that it has explicit special
solutions enjoying a non-trivial topology quantified by a phase index. I
will present a theoretical and numerical study of these solutions. This is
joint work with Antoine Diez (Kyoto University) and Adam Walczak (Imperial
College London).
