Morse Index and Stability of the Planar N-vortex Problem
نویسندگان
چکیده
منابع مشابه
Stability of Relative Equilibria in the Planar n-Vortex Problem
We study the linear and nonlinear stability of relative equilibria in the planar n-vortex problem, adapting the approach of Moeckel from the corresponding problem in celestial mechanics. After establishing some general theory, a topological approach is taken to show that for the case of positive circulations, a relative equilibrium is linearly stable if and only if it is a nondegenerate minimum...
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ژورنال
عنوان ژورنال: Qualitative Theory of Dynamical Systems
سال: 2020
ISSN: 1575-5460,1662-3592
DOI: 10.1007/s12346-020-00410-4