Integrable perturbations of saddle singularities of rank 0 of integrable Hamiltonian systems

DOI10.1070/SM9040zbMath1408.37096OpenAlexW2811090961MaRDI QIDQ4645158

M. A. Tuzhilin, A. A. Oshemkov

Publication date: 10 January 2019

Published in: Sbornik: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/sm9040

zbMATH Keywords

stabilityintegrable Hamiltonian systemsmomentum mapnondegenerate singularities

Mathematics Subject Classification ID

Bifurcations of singular points in dynamical systems (37G10) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Stability problems for finite-dimensional Hamiltonian and Lagrangian systems (37J25)

Related Items (8)

Structurally stable nondegenerate singularities of integrable systems ⋮ Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(3, 1)\) ⋮ Bifurcation diagram of one generalized integrable model of vortex dynamics ⋮ Phase Topology of Two Vortices of Identical Intensities in a Bose – Einstein Condensate ⋮ Bifurcations of Liouville tori in a system of two vortices of positive intensity in a Bose-Einstein condensate ⋮ Implementation of integrable systems by topological, geodesic billiards with potential and magnetic field ⋮ Hidden toric symmetry and structural stability of singularities in integrable systems ⋮ Saddle Singularities in Integrable Hamiltonian Systems: Examples and Algorithms

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