Splitting of Dissipative Vortices

Abstract

We report transformations of dissipative vortices leading to their splitting in a controllable way. These phenomena are analyzed employing the basic model describing diverse nonlinear physical systems far from equilibrium – the two-dimensional cubic-quintic complex Ginzburg-Landau equation with a double-well potential. The potential term accounts for an external control influence upon vortex waveforms. We demonstrate that the locally applied potential can dramatically transform a waveform of initial vortex resulting in the vortex topological charge changing and vortex splitting.