Topology of the Liouville foliation in the generalized constrained three-vortex problem
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Publication:6639688
DOI10.4213/sm9991eMaRDI QIDQ6639688
Publication date: 18 November 2024
Published in: Sbornik: Mathematics (Search for Journal in Brave)
Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Vortex methods applied to problems in fluid mechanics (76M23) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
Cites Work
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- Bifurcation diagrams of natural Hamiltonian systems on Bertrand manifolds
- A new integrable system on the sphere
- Bifurcation analysis of the dynamics of two vortices in a Bose-Einstein condensate. the case of intensities of opposite signs
- Hamiltonian fractals and chaotic scattering of passive particles by a topographical vortex and an alternating current
- Noncompactness property of fibers and singularities of non-Euclidean Kovalevskaya system on pencil of Lie algebras
- Noncompact bifurcations of integrable dynamic systems
- Bifurcation diagram of one generalized integrable model of vortex dynamics
- Topology and mechanics. II: The planar \(n\)-body problem
- Topology and dynamics in ferromagnetic media
- Classification of hyperbolic singularities of rank zero of integrable Hamiltonian systems
- A TOPOLOGICAL INVARIANT AND A CRITERION FOR THE EQUIVALENCE OF INTEGRABLE HAMILTONIAN SYSTEMS WITH TWO DEGREES OF FREEDOM
- Topology and stability of integrable systems
- Topology of the Liouville foliation on a 2-sphere in the Dullin-Matveev integrable case
- THE TOPOLOGY OF SURFACES OF CONSTANT ENERGY IN INTEGRABLE HAMILTONIAN SYSTEMS, AND OBSTRUCTIONS TO INTEGRABILITY
- Über Integrale der hydrodynamischen Gleichungen, welche den Wirbelbewegungen entsprechen.
- Integrable topological billiards and equivalent dynamical systems
- Billiard books model all three-dimensional bifurcations of integrable Hamiltonian systems
- Symplectic invariants for parabolic orbits and cusp singularities of integrable systems
- The topology associated with cusp singular points
- Topological classification of Hamiltonian systems on two-dimensional noncompact manifolds
- Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate
- Gröbli solution for three magnetic vortices
- Topological classification of non-compact 3-atoms with a circle action
- Topological analysis of pseudo-Euclidean Euler top for special values of the parameters
- Parabolicity of degenerate singularities in axisymmetric Euler systems with a gyrostat
- First Appelrot class of pseudo-Euclidean Kovalevskaya system
- On noncompact bifurcation in one generalized model of vortex dynamics
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