On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero
DOI10.1134/S156035472205001XMaRDI QIDQ2093112
César Castilho, Adriano Regis Rodrigues, Jair Koiller
Publication date: 4 November 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Stability for nonlinear problems in mechanics (70K20) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39) Relations of finite-dimensional Hamiltonian and Lagrangian systems with algebraic geometry, complex analysis, special functions (37J38)
Cites Work
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- A novel formulation of point vortex dynamics on the sphere: geometrical and numerical aspects
- Point vortices on the sphere: stability of symmetric relative equilibria
- A survey of numerical methods for IVPs of ODEs with discontinuous right-hand side
- On Aref's vortex motions with a symmetry center
- Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures
- Efficient integration over discontinuities for differential-algebraic systems
- Vortex pairs on a triaxial ellipsoid and Kimura's conjecture
- Vortex pairs on the triaxial ellipsoid: axis equilibria stability
- Partial balayage on Riemannian manifolds
- Dynamics of three vortices on a sphere
- Transition to chaos in dynamics of four point vortices on a plane
- Motion of three point vortices on a sphere
- The \(n\)-vortex problem on a Riemann sphere
- Platonic solids and symmetric solutions of the \(N\)-vortex problem on the sphere
- Vortex pairs and dipoles on closed surfaces
- Getting into the vortex: on the contributions of James Montaldi
- Curvature functions for compact 2-manifolds
- Riemannian structures of prescribed Gaussian curvature for compact 2- manifolds
- A minimal-variable symplectic integrator on spheres
- A New Integrable Problem of Motion of Point Vortices on The Sphere
- Solving Ordinary Differential Equations with Discontinuities
- Vortices on Closed Surfaces
- The N-vortex problem on a symmetric ellipsoid: A perturbation approach
- Partial Differential Relations
- Stability of streets of vortices on surfaces of revolution with a reflection symmetry
- Lectures on Mechanics
- Vortex motion on surfaces with constant curvature
- Wave and vortex dynamics on the surface of a sphere
- Deformation of Geometry and Bifurcations of Vortex Rings
- The motion of point vortices on closed surfaces
- Conformal Mapping of the Interior of an Ellipse onto a Circle
- On the Motion of Vortices in Two Dimensions
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