Two and three-dimensional inverse problem of dynamics
Abstract For a given a monoparametric family of curves \(f(x,y)=c\), we present the partial differential equations satisfied by the potentials…
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Properties of the complexity function for finite words
Abstract The subword complexity function \(p_{w}\) of a finite word \(w\) over a finite alphabet A with card \(A=q\geq1\) is…
An estimation of a generalized divided difference in uniformly convex spaces
Abstract The rest in some approximation formulae can be expressed in terms of a generalized divided di§erence on three knots.…
Strong forces in Celestial Mechanics
Abstract Strong forces in celestial mechanics have the property that the particle moving under their action can describe periodic orbits,…
Special families of orbits in the direct problem of Dynamics
Abstract The direct problem of dynamics in two dimensions is modeled by a nonlinear second-order partial differential equation, which is…
An alternative point of view on the equations of the inverse problem of Dynamics
Abstract The version of the inverse problem of dynamics considered here is: given a family of planar curves \(f(x,y)=c\), find…
Symmetries in the Popovici-Manev photogravitational field
Abstract The Popovici-Manev photogravitational field is generated by a Manev-type attraction force and the repelling radiative force considered by Constantin…
Symmetric periodic orbits in the anisotropic Schwarzschild-type problem
Abstract Studying the two-body problem associated to an anisotropic Schwarzschild-type field, Mioc et al. (2003) did not succeed in proving…
Symmetric periodic orbits in proto-stellar system
Abstract We approach the dynamics in proto-stellar systems via the two-body problem associated to an anisotropic Schwarzschild-type potential. On the…
A solvable version of the inverse problem of dynamics
Abstract The particular version of the inverse problem of dynamics considered here is: given the ‘slope function’ \(\gamma =f_{y}/f_{x}\), representing…