This article is cited in 1 paper

On the nonlinear disturbances of vortex poligon

E. G. Bord

Novosibirsk State University of Architecture and Civil Engineering

Abstract: The evolution of the symmetrical disturbances of the vortex poligon is studied. The return of the unstable solution to their initial position is found. The case of eight vortices is considered separately. For this case second order differential equation system is found. The vortex pair realization is explained.

Keywords: vortex polygon, local instability, nonlinear oscillator.

UDC: 532.5

MSC: 76F20, 37E35