DOI10.1070/RM2010v065n02ABEH004672zbMath1202.37077OpenAlexW2129315317MaRDI QIDQ3584742
Ivan. S. Mamaev, Alexei V. Bolsinov, Alexey V. Borisov
Publication date: 30 August 2010
Published in: Russian Mathematical Surveys (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1070/rm2010v065n02abeh004672
Explicit integration of the system of invariant relations for the case of M. Adler and P. van Moerbeke,
Topology of the isoenergy manifolds of the Kirchhoff rigid body case on \(e(3)\),
The motion of an unbalanced circular disk in the field of a point source,
Billiard ordered games and books,
Algebraic geometry and stability for integrable systems,
Topological analysis corresponding to the Borisov-Mamaev-Sokolov integrable system on the Lie algebra \(\mathrm{so}(4)\),
Topological atlas of the Kowalevski-Sokolov top,
Bifurcation analysis of the motion of a cylinder and a point vortex in an ideal fluid,
2-D Duffing oscillator: elliptic functions from a dynamical systems point of view,
The Hess-Appelrot system. III: Splitting of separatrices and chaos,
Stability and integrability aspects for the Maxwell-Bloch equations with the rotating wave approximation,
Bifurcation diagram of the two vortices in a Bose-Einstein condensate with intensities of the same signs,
Perturbations of the Hess-Appelrot and the Lagrange cases in the rigid body dynamics,
Stability of stationary motions of mechanical systems with a particular Goryachev-Chaplygin integral,
The rolling motion of a truncated ball without slipping and spinning on a plane,
Global diffusion on a tight three-sphere,
Symmetries and reduction in nonholonomic mechanics,
Dynamics of the Suslov problem in a gravitational field: reversal and strange attractors,
Explicit determination of certain periodic motions of a generalized two-field gyrostat,
Topological invariants for elliptical billiards and geodesics on ellipsoids in the Minkowski space,
Dynamics of the Chaplygin ball on a rotating plane,
Symplectic invariants for parabolic orbits and cusp singularities of integrable systems,
Open problems in the theory of finite-dimensional integrable systems and related fields,
Three vortices in spaces of constant curvature: reduction, Poisson geometry, and stability,
Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges,
The topology of Liouville foliation for the Borisov-Mamaev-Sokolov integrable case on the Lie algebra \(so(4)\),
On the existence of focus singularities in one model of a Lagrange top with a vibrating suspension point,
Rigid body dynamics in non-Euclidean spaces,
Reduction and relative equilibria for the two-body problem on spaces of constant curvature,
Precession of the Kovalevskaya and Goryachev-Chaplygin tops,
A parabolic Chaplygin pendulum and a Paul trap: nonintegrability, stability, and boundedness,
Bifurcation analysis of the dynamics of two vortices in a Bose-Einstein condensate. the case of intensities of opposite signs,
Polynomial entropies for Bott integrable Hamiltonian systems,
Superintegrable generalizations of the Kepler and Hook problems,
Bifurcation diagram of one generalized integrable model of vortex dynamics,
The integrable case of Adler-van Moerbeke. Discriminant set and bifurcation diagram,
Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions,
On the Orbital Stability of Pendulum-like Oscillations of a Heavy Rigid Body with a Fixed Point in the Bobylev – Steklov Case,
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,
Qualitative analysis of the dynamics of a balanced circular foil and a vortex,
On a Method of Introducing Local Coordinates in the Problem of the Orbital Stability of Planar Periodic Motions of a Rigid Body
