On the photogravitational model of C. Popovici
Abstract For the system governed by a central force depending on distance and radial velocity considered by C. Popovici, one…
(original)
On the inverse problem of Dynamics for generalized Lagrangian systems
Abstract A system of partial differential equations for the force function \(U\) (hence for the potential function -\(U\)) is given…
On the Legendre transform and its applications
Abstract AuthorsArpad Pal Babes-Bolyai University, Cluj-Napoca, Romania Mira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical analysis Romanian Academy, Romania Keywords? Paper…
On the two-dimensional inverse problem of dynamics
Abstract The authors extend the deduction of the equations satisfied by the force fields from inertial to rotating frames, when…
Two-dimensional inverse problem of dynamics in a rotating frame
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania Arpad Pal Babes-Bolyai University, Cluj-Napoca, Romania Keywords? Paper…
Family boundary curves in rotating systems
Abstract In the framework of the two-dimensional inverse problem of Dynamics with autonomous forces, we discuss the creation of the…
Polynomial force fields in the inverse problem of Dynamics
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania Keywords? Paper coordinatesM.-C. Anisiu, Polynomial force fields in…
On the closedness of sets with the fixed point property for contractions
Abstract It is proved by examples that there are (connected) non-closed sets with the fixed point property for contractions in…
Inhomogeneous potentials producing homogeneous orbits
Abstract We prove that, in general, a given two-dimensional inhomogeneous potential \(V(x,y)\) does not allow for the creation of homogeneous…
Global complexities for infinite sequences
Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institue of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesM.-C. Anisiu, Global complexities for infinite…