Bifurcation of point vortex equilibria: four-vortex translating configurations and five-vortex stationary configurations

• Published in: Nonlinearity Vol. 33; no. 12; pp. 6564 - 6589
• Main Author: Tsai, Ya-Lun
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.12.2020
• Subjects: bifurcation; equilibrium; point vortex dynamics; symbolic computation

Point vortices in a plane form a dynamical system. A vortex equilibrium is a solution where all vortices move with a common velocity. The configuration is stationary or translating depending on whether the velocity is zero or not. In this paper, we study the bifurcation for four-vortex translating c...