Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations
From MaRDI portal
Publication:4983525
DOI10.1137/20M1354362zbMath1466.37046OpenAlexW3124953325MaRDI QIDQ4983525
Publication date: 20 April 2021
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/20m1354362
Vortex flows for incompressible inviscid fluids (76B47) Stability of solutions to ordinary differential equations (34D20) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)
Related Items (3)
Global Phase Diagrams of Three Point Vortices ⋮ Explicit nondegeneracy conditions of KAM tori for the planar N-point vortex systems ⋮ Stability of port-Hamiltonian systems with mixed time delays subject to input saturation
Cites Work
- Unnamed Item
- Unnamed Item
- Vortex interaction dynamics in trapped Bose-Einstein condensates
- Boundedness of solutions for Duffing equation with low regularity in time
- Non-ergodicity of the Nosé-Hoover thermostatted harmonic oscillator
- Vortices in time-periodic shear flow
- Point-vortex interaction in an oscillatory deformation field: Hamiltonian dynamics, harmonic resonance and transition to chaos
- Parametric resonance with a point-vortex pair in a nonstationary deformation flow
- Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex
- Mathematical models with singularities. A zoo of singular creatures
- Bifurcation of relative equilibria generated by a circular vortex path in a circular domain
- Periodic motions of fluid particles induced by a prescribed vortex path in a circular domain
- Defining coherent vortices objectively from the vorticity
- An analytical study of transport, mixing and chaos in an unsteady vortical flow
- Point-vortex stability under the influence of an external periodic flow
- Stirring by chaotic advection
- The \(N\)-vortex problem. Analytical techniques
This page was built for publication: Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations