Transition to chaos in dynamics of four point vortices on a plane

DOI10.1134/S1028335806050089zbMath1206.76010OpenAlexW2006174848MaRDI QIDQ1956664

Alexey V. Borisov, Alexander A. Kilin, Ivan. S. Mamaev

Publication date: 23 September 2010

Published in: Doklady Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1028335806050089

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Vortex flows for incompressible inviscid fluids (76B47) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Dynamical systems approach to turbulence (76F20)

Related Items (5)

The motion of an unbalanced circular disk in the field of a point source ⋮ Integrability and chaos in vortex lattice dynamics ⋮ Dynamics of two point vortices in an external compressible shear flow ⋮ Bifurcations and Chaos in the Dynamics of Two Point Vortices in an Acoustic Wave ⋮ On the linear stability of a vortex pair equilibrium on a Riemann surface of genus zero

Cites Work

• Reduction and chaotic behavior of point vortices on a plane and a sphere
• Absolute and relative choreographies in the problem of point vortices moving on a plane
• A combinatorial perturbation method and Arnold's whiskered tori in vortex dynamics
• The \(N\)-vortex problem. Analytical techniques

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