39 citations · 76 across the 17 of their papers we have counts for
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Particle-like Structure of Lie algebras
Alexandre M. Vinogradov
If a Lie algebra structure g on a vector space is the sum of a family of mutually compatible Lie algebra structures g_i's, we say that g is simply assembled from the g_i's. Repeati…
Logic of differential calculus and the zoo of geometric strujctures
Alexandre M. Vinogradov
Since the discovery of differential calculus by Newton and Leibniz and the subsequent continuous growth of its applications to physics, mechanics, geometry, etc, it was observed th…
Assembling Lie Algebras from Lieons
Alexandre M. Vinogradov
If a Lie algebra structures $\gG$ on a vector space is the sum of a family of mutually compatible Lie algebra structures $\gG_i$, we say that $\gG$ is \emph{simply assembled} from…
Iterated Differential Forms V: C-Spectral Sequence on Infinite Jet Spaces
A. M. Vinogradov, L. Vitagliano
In the preceding note math.DG/0610917 the --spectral sequence, whose first term is composed of \emph{secondary iterated differential forms}, was constructed for…
Hamiltonian theory of constrained impulsive motion
Jorge Cortes, Alexandre M. Vinogradov
This paper considers systems subject to nonholonomic constraints which are not uniform on the whole configuration manifold. When the constraints change, the system undergoes a tran…
Jumping oscillator
F. Pugliese, A. Vinogradov
It is shown that a lagrangian system whose Legendre transformation degenerates along a hypersurface behaves in a strange manner by jumping from time to time without any ''visible c…