Point-vortex interaction in an oscillatory deformation field: Hamiltonian dynamics, harmonic resonance and transition to chaos
From MaRDI portal
Publication:1030560
DOI10.3934/dcdsb.2009.11.971zbMath1260.76007OpenAlexW1977677240MaRDI QIDQ1030560
Publication date: 2 July 2009
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2009.11.971
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Vortex flows for incompressible inviscid fluids (76B47) Hydrodynamic stability (76E99)
Related Items (17)
Formation of small-scale vortices in the core of a large merged vortex ⋮ Parametric instability of a many point-vortex system in a multi-layer flow under linear deformation ⋮ Point-vortex stability under the influence of an external periodic flow ⋮ Twist dynamics and Aubry-Mather sets around a periodically perturbed point-vortex ⋮ Parametric resonance with a point-vortex pair in a nonstationary deformation flow ⋮ Global chaotization of fluid particle trajectories in a sheared two-layer two-vortex flow ⋮ Passive scalar advection in the vicinity of two point vortices in a deformation flow ⋮ Local parametric instability near elliptic points in vortex flows under shear deformation ⋮ Resonance phenomena in a two-layer two-vortex shear flow ⋮ Homostrophic vortex interaction under external strain, in a coupled QG-SQG model ⋮ Irregular mixing due to a vortex pair interacting with a fixed vortex ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 2. Regular and chaotic advection around the perturbed steady states ⋮ 2D vortex interaction in a non-uniform flow ⋮ Vortices in time-periodic shear flow ⋮ Stability of Motion Induced by a Point Vortex Under Arbitrary Polynomial Perturbations ⋮ The interaction of two unsteady point vortex sources in a deformation field in 2D incompressible flows ⋮ Baroclinic multipole evolution in shear and strain
This page was built for publication: Point-vortex interaction in an oscillatory deformation field: Hamiltonian dynamics, harmonic resonance and transition to chaos
