Abstract: Synchronization is a most striking phenomenon in ensembles of coupled oscillators. In this talk I will discuss basic mathematical models used in the field and the approaches to their ...

Soliton-boundary interactions significantly influence the dynamics, stability, and functionality of topological magnetic solitons in spintronic devices, yet quantifying these interactions remains ...

Suppose we are given a system of coupled oscillators on an unknown graph along with the trajectory of the system during some period. Can we predict whether the system will eventually synchronize? Even ...