Bifurcation of point vortex equilibria: four-vortex translating configurations and five-vortex stationary configurations
DOI10.1088/1361-6544/aba234zbMath1473.37062OpenAlexW3093729124MaRDI QIDQ5136538
Publication date: 26 November 2020
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1088/1361-6544/aba234
Symbolic computation and algebraic computation (68W30) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Bifurcations of singular points in dynamical systems (37G10) Computational methods for bifurcation problems in dynamical systems (37M20) Solving polynomial systems; resultants (13P15)
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- Clustered equilibria of point vortices
- Elimination methods
- Minimal polynomial systems for point vortex equilibria
- Vortices and polynomials: non-uniqueness of the Adler–Moser polynomials for the Tkachenko equation
- Finiteness of fixed equilibrium configurations of point vortices in the plane with a background flow
- Relative equilibria of point vortices and the fundamental theorem of algebra
- Stationary equilibrium singularity distributions in the plane
- Point vortex dynamics: A classical mathematics playground
- Finiteness of stationary configurations of the four-vortex problem
- Shorter Notes: The Roots of a Polynomial Vary Continuously as a Function of the Coefficients
- Stationary Configurations of Point Vortices
- Point vortex dynamics in the post-Aref era
- The \(N\)-vortex problem. Analytical techniques