27 Aug 2020
Abstract: By designing feedback to control populations of oscillators, synchronisation in neurons causing epileptic seizures can be broken up. Oscillators (e.g. neurons) can be coupled on different levels. The most basic level is through links between pairs of oscillators. These pairwise links fail to explain phenomena such as peer pressure. The nonpairwise ‘links’ make such phenomena possible. Even though the effects of these nonpairwise interactions have been observed, described and modeled in a wide range of oscillatory systems, controlling nonpairwise interactions in arbitrary systems has remained a mainly unexplored area. We generalize synchronisation engineering to control nonpairwise interactions in arbitrary systems. As a first step, we design nonlinear time- delayed feedback that introduces bifurcations away from splay configuration into arbitrary systems. Controlling nonpairwise interactions might advance the design of minimum-power stimuli for the treatment of epilepsy.
Talk at Dynamics Days Digital 2020.
You can find a video of this talk on Youtube here.