12 citations · 48 across the 26 of their papers we have counts for
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nlin.SI2013★ 9 cited
Stability in bi-Hamiltonian systems and multidimensional rigid body
Anton Izosimov
The presence of two compatible Hamiltonian structures is known to be one of the main, and the most natural, mechanisms of integrability. For every pair of Hamiltonian structures, t…
nlin.SI2013★ 9 cited
Algebraic geometry and stability for integrable systems
Anton Izosimov
In 1970s, a method was developed for integration of nonlinear equations by means of algebraic geometry. Starting from a Lax representation with spectral parameter, the algebro-geom…
math.DG2013★ 2 cited
Flat bi-Hamiltonian structures and invariant densities
Anton Izosimov
A bi-Hamiltonian structure is a pair of Poisson structures , which are compatible, meaning that any linear combination is again…