Hansol Park

In this talk, I introduce several first- and second-order models for self-collective behaviour on general manifolds and discuss their emergent behaviors. For the first-order model, we consider attractive-repulsive and purely attractive interaction...

Abstract: In this talk, we study an algebraic approach to fusions of synchronization models. The Lohe tensor model is a generalized synchronization model which contains three synchronization models; the Kuramoto model(on the circle), the swarm sphere...

We present a kinetic version of the Watanabe-Strogatz (WS) transform for vector models in this paper. From the generalized WS-transform, we can reduce the kinetic vector model into an ODE system. We also obtain the cross-ratio type constant of motion...