2 citations · 3 across the 2 of their papers we have counts for
3 papers
math.NT2020★ 2 cited
On solving quadratic congruences
V. N. Dumachev
The paper proposes a polynomial formula for solution quadratic congruences in . This formula gives the correct answer for quadratic residue and zeroes for quadratic n…
math.DG2018
Vector Hamiltonians in Nambu mechanics
V. N. Dumachev
We give a generalization of the Nambu mechanics based on vector Hamiltonians theory. It is shown that any divergence-free phase flow in can be represented as a gener…
math.DG2009★ 1 cited
Generalized Nambu dynamics and vectorial Hamiltonians
V. N. Dumachev
On the basis of Liouville theorem the generalization of the Nambu mechanics is considered. Is shown, that Poisson manifolds of n-dimensional multi-symplectic phase space have induc…