Lyapunov orbits in the \(n\)-vortex problem on the sphere

DOI10.1134/S156035471503003XzbMath1327.76040OpenAlexW2219040320MaRDI QIDQ500460

Hildeberto E. Cabral, Adecarlos C. Carvalho

Publication date: 2 October 2015

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s156035471503003x

zbMATH Keywords

relative equilibriaperiodic orbitsLyapunov center theorempoint vortex problem

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Periodic orbits of vector fields and flows (37C27)

Related Items (1)

Parametric instability of a many point-vortex system in a multi-layer flow under linear deformation

Cites Work

• The dynamics of vortex rings: leapfrogging, choreographies and the stability problem
• New periodic solutions for three or four identical vortices on a plane and a sphere
• The \(N\)-vortex problem on a sphere: Geophysical mechanisms that break integrability
• Introduction to Hamiltonian dynamical systems and the \(N\)-body problem.
• Dynamics of vorticity at a sphere
• Dynamics and statics of vortices on a plane and a sphere. I
• Absolute and relative choreographies in the problem of point vortices moving on a plane
• Stability and bifurcations for the \(N+1\) vortex problem on the sphere
• Lyapunov orbits in the \(n\)-vortex problem
• Influence of annular boundaries on Thomson's vortex polygon stability
• Dynamics of Two Rings of Vortices on a Sphere
• Wave and vortex dynamics on the surface of a sphere
• Periodic motions of vortices on surfaces with symmetry
• Stability of Thomson's configurations of vortices on a sphere

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