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Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania Keywords? Paper coordinatesM.-C. Anisiu, Polynomial force fields in…

Abstract It is proved by examples that there are (connected) non-closed sets with the fixed point property for contractions in…

Abstract AuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institue of Numerical Analysis, Romanian Academy, Romania Keywords? Paper coordinatesM.-C. Anisiu, Global complexities for infinite…

Abstract For a Henon-Heiles type potential, with undetermined coefficients, the possibility for a material point to describe a family of…

Abstract The family of orbits given in advance in the inverse problem of dynamics can be described in implicit or…

Abstract Given any two-dimensional potential \(V(x,y)\), we find (if there exists, of course) without integration of the pertinent equation of…

Abstract In the light of the inverse problem of dynamics, we establish families of straight lines, possibly traced by a…

Abstract It is shown that all planar potentials V(x, y) that can give rise, among other conditions, to monoparametric families of straight…