19 citations · 64 across the 16 of their papers we have counts for
17 papers
Natural geometric Fourier transforms and the associated fractional Laplacian
Razvan M. Tudoran
To each arbitrary given general geometric structure on , we associate a pair of compatible Fourier transforms, that prove to appear naturally in the framework of Po…
On differential operators generated by geometric structures
Razvan M. Tudoran
We extend to manifolds endowed with a general geometric structure, the classical notions of gradient as well as Laplace operator, and provide some of their natural properties.
On the coercivity of continuously differentiable vector fields
Razvan M. Tudoran
Given an arbitrary fixed continuously differentiable vector field on , we prove that this vector field is coercive if and only if its conservative part is coercive. W…
A note on the structure of prescribed gradient--like domains of non--integrable vector fields
Razvan M. Tudoran
Given a geometric structure on with even (e.g. Euclidean, symplectic, Minkowski, pseudo-Euclidean), we analyze the set of points inside the domain of definitio…
Asymptotic bp-stabilization of a given closed invariant set
Razvan M. Tudoran
Given a closed invariant set of a dynamical system generated by a smooth vector field, , for each , we construct a control vector field, , such that…
On the rattleback dynamics
Razvan M. Tudoran, Anania Girban
In this paper we present some relevant dynamical properties of an idealized conservative model of the rattleback, from the Poisson dynamics point of view. In the first half of the…