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This category marks all the ICTP posts containing the pdf file of the paper/book.

On the inverse problem of Dynamics for generalized Lagrangian systems

2 years ago

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

2 years ago

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

2 years ago

Abstract The authors extend the deduction of the equations satisfied by the force fields from inertial to rotating frames, when…

Family boundary curves in rotating systems

2 years ago

Abstract In the framework of the two-dimensional inverse problem of Dynamics with autonomous forces, we discuss the creation of the…

On the closedness of sets with the fixed point property for contractions

2 years ago

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

2 years ago

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

2 years ago

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

2 years ago

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

2 years ago

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

2 years ago

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

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