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…
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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…
Special families of orbits for the Hénon-Heiles type potential
Abstract For a Henon-Heiles type potential, with undetermined coefficients, the possibility for a material point to describe a family of…
Two-dimensional inverse problem of Dynamics for families in parametric form
Abstract The two-dimensional inverse problem of dynamics is considered for nonconservative force fields, both in inertial and rotating frames. The…
Families of similar orbits in the inverse problem of Dynamics
Abstract The family of orbits given in advance in the inverse problem of dynamics can be described in implicit or…
A solvable version of the direct problem of Dynamics
Abstract Given any two-dimensional potential \(V(x,y)\), we find (if there exists, of course) without integration of the pertinent equation of…
Families of straight lines in rotating frames
Abstract In the light of the inverse problem of dynamics, we establish families of straight lines, possibly traced by a…
Families of straight lines in planar potentials
Abstract It is shown that all planar potentials V(x, y) that can give rise, among other conditions, to monoparametric families of straight…