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math-ph2012
Stability of relative equilibria of multidimensional rigid body
Anton Izosimov
It is a classical result of Euler that the rotation of a torque-free three-dimensional rigid body about the short or the long axis is stable, whereas the rotation about the middle…
math-ph2012★ 12 cited
Singularities of bi-Hamiltonian systems
Alexey Bolsinov, Anton Izosimov
We study the relationship between singularities of bi-Hamiltonian systems and algebraic properties of compatible Poisson brackets. As the main tool, we introduce the notion of line…
math-ph2012★ 3 cited
A note on relative equilibria of multidimensional rigid body
Anton Izosimov
It is well known that a rotation of a free generic three-dimensional rigid body is stationary if and only if it is a rotation around one of three principal axes of inertia. As it w…