In this paper, we investigate periodic vibrations of a group of particles with a dihedral
configuration in the plane governed by the Lennard-Jones and Coulomb forces. Using the …

This dissertation is devoted to the study of nonlinear periodic vibrations of a group of
particles within symmetric molecular conformations governed by the Lennard-Jones and …

In this paper we analyze nonlinear dynamics of the fullerene molecule. We prove, under
isotypic nonresonant assumptions, the existence of global branches of periodic solutions …

The study of dynamical systems with symmetry usually deals with the impact of symmetries
(described by a certain group G) on the existence, multiplicity, stability and topological …

In this paper we analyze nonlinear dynamics of the fullerene molecule. We prove the
existence of global branches of periodic solutions emerging from an icosahedral equilibrium …