The motion of an unbalanced circular disk in the field of a point source
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Publication:2125705
DOI10.1134/S1560354722010051zbMath1486.76010arXiv2109.13041MaRDI QIDQ2125705
Elizaveta M. Artemova, Evgeny V. Vetchanin
Publication date: 14 April 2022
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.13041
chaotic scatteringnonintegrabilityHamiltonian equationsideal incompressible fluidscattering mapplane-parallel motion
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Jets and cavities, cavitation, free-streamline theory, water-entry problems, airfoil and hydrofoil theory, sloshing (76B10) Integrable cases of motion in rigid body dynamics (70E40)
Cites Work
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- The dynamics of vortex sources in a deformation flow
- The dynamics of vortex rings: leapfrogging, choreographies and the stability problem
- An unsteady point vortex method for coupled fluid-solid problems
- How do singularities move in potential flow?
- The dynamics of three vortex sources
- Symmetries and reduction in nonholonomic mechanics
- KAM theory analysis of the dynamics of three coaxial vortex rings
- Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability
- The dynamics of a Chaplygin sleigh with an elastic internal rotor
- Dynamics of two point vortices in an external compressible shear flow
- Transition to chaos in dynamics of four point vortices on a plane
- Hydrodynamic characterization of the ball
- Bifurcations and Chaos in the Dynamics of Two Point Vortices in an Acoustic Wave
- Topology and stability of integrable systems
- Poincare map for scattering states
- Integrable and chaotic motions of four vortices II. Collision dynamics of vortex pairs
- Transition from Quasiperiodicity to Chaos for Three Coaxial Vortex Rings
- Control of the motion of a circular cylinder in an ideal fluid using a source
- Dynamics of a pair of point vortices and a foil with parametric excitation in an ideal fluid
- The dynamics of vortex rings: leapfrogging in an ideal and viscous fluid
- Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate
- Geometric Numerical Integration
- The stability of stationary rotation of a regular vortex polygon
- The Hamiltonian structure of a two-dimensional rigid circular cylinder interacting dynamically with N point vortices
- Motion of a circular cylinder and \(n\) point vortices in a perfect fluid
- Stability of Thomson's configurations of vortices on a sphere
- Motion of a circular cylinder and a vortex in an ideal fluid