Chaotic advection in the velocity field of leapfrogging vortex pairs

DOI10.1088/0305-4470/28/8/013zbMath0879.76019OpenAlexW2007842217MaRDI QIDQ4716547

Tamás Tél, Zoltán Toroczkai, Áron Péntek

Publication date: 14 January 1997

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/28/8/013

zbMATH Keywords

chaotic scatteringpassive tracer particlesdifferent types of invariant setslarge energies of vortex systemstable bounded trajectoriestwo-dimensional time-periodic velocity field

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (13)

Chaotic scattering in the restricted three-body problem. I: The Copenhagen problem ⋮ Combustion initiation and extinction in a 2D chaotic flow ⋮ Small-scale structure of nonlinearly interacting species advected by chaotic flows ⋮ The effect of Lagrangian chaos on locking bifurcations in shear flows ⋮ Geometric and statistical properties in the evolution of material surfaces in three-dimensional chaotic flows ⋮ Three-vortex quasi-geostrophic dynamics in a two-layer fluid. Part 2. Regular and chaotic advection around the perturbed steady states ⋮ Vortex motion of the Euler and lake equations ⋮ Lagrangian dynamics in high-dimensional point-vortex systems ⋮ Tip-vortex instability and turbulent mixing in wind-turbine wakes ⋮ The geometry of mixing in time-periodic chaotic flows. I: Asymptotic directionality in physically realizable flows and global invariant properties ⋮ Invariant properties of a class of exactly solvable mixing transformations --- a measure-theoretical approach to model the evolution of material lines advected by chaotic flows ⋮ Invariant geometric properties of class of 3D chaotic flows ⋮ Devil-staircase behavior of dynamical invariants in chaotic scattering

This page was built for publication: Chaotic advection in the velocity field of leapfrogging vortex pairs