Nonintegrability of two problems in vortex dynamics

DOI10.1063/1.166210zbMath0933.37025OpenAlexW2004870813WikidataQ52015540 ScholiaQ52015540MaRDI QIDQ4935784

A. A. Bagrets, Dmitry A. Bagrets

Publication date: 17 January 2000

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.166210

zbMATH Keywords

nonintegrabilityHamiltonian formmethod of split separatrices

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Hamilton's equations (70H05) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)

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Cites Work

• The analytic invariants of an area-preserving mapping near a hyperbolic fixed point
• Hamiltonian description of axisymmetric vortex flows and the system of vortex rings
• Integrable four vortex motion
• Integrable and chaotic motions of four vortices. I. The case of identical vortices