Point vortices on the sphere: stability of symmetric relative equilibria

DOI10.3934/jgm.2011.3.439zbMath1248.70020arXivmath/0402430OpenAlexW2120781947MaRDI QIDQ420294

Frederic Laurent-Polz, James A. Montaldi, Roberts, Mark

Publication date: 21 May 2012

Published in: Journal of Geometric Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0402430

zbMATH Keywords

symmetrystabilityHamiltonian systemsbifurcationspoint vortices

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Vortex flows for incompressible inviscid fluids (76B47) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

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