54 citations · 777 across the 87 of their papers we have counts for
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Comment on: "Stäckel and Eisenhart lifts, Haantjes geometry and Gravitation"
A. V. Tsiganov
One of the oldest methods for constructing integrable Hamiltonian systems, proposed by Jacobi, recently is being presented as a novel Stäckel lift construction related with Haantje…
Homogeneous potentials, Lagrange's identity and Poisson geometry
A. V. Tsiganov
The Lagrange identity expresses the second derivative of the moment of inertia of a system of material points through kinetic energy and homogeneous potential energy, from which fo…
Novikov equations for commuting differential operators of orders 3,4,5
G. B. Shabat, V. V. Sokolov, A. V. Tsiganov
We consider Novikov equations for commutative ring generated by differential operators of orders 3,4,5. We present an explicit Hamiltonian form of these equations. Using the method…
On novel Hamiltonian description of the nonholonomic Suslov problem
A. V. Tsiganov
We present some new Poisson bivectors that are invariants by the flow of the nonholonomic Suslov problem. Two rank four invariant Poisson bivectors have globally defined Casimir fu…
On tensor invariants of the Clebsch system
A. V. Tsiganov
We present some new Poisson bivectors that are invariants by the Clebsch system flow. Symplectic integrators on their symplectic leaves exactly preserve the corresponding Casimir f…
Multisymplectic structure of nonintegrable Henon-Heiles system
A. V. Tsiganov
Multi-symplectic integrators are typically regarded as a discretization of the Hamiltonian partial differential equations. This is due to the fact that, for generic finite-dimensio…