Platonic solids and symmetric solutions of the \(N\)-vortex problem on the sphere

DOI10.1007/s00332-022-09792-yOpenAlexW3108434862MaRDI QIDQ2129250

Luis C. García-Naranjo, Carlos García-Azpeitia

Publication date: 22 April 2022

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.12243

zbMATH Keywords

periodic solutionssymmetries\(N\)-vortex problemplatonic solidsdiscrete reduction

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Symmetry analysis, Lie group and Lie algebra methods applied to problems in fluid mechanics (76M60) Nonlinear modes (70K75)

Related Items

Shape dynamics of N point vortices on the sphere ⋮ Dynamics of two vortex rings in a Bose-Einstein condensate ⋮ On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero

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