Gas hydrates have essential industrial and climate implications in energy exploitation and
novel technologies. Hydrate nucleation and growth typically develop under substrate …

Positive periodic solution to a second-order differential equation with attractive-repulsive
singularities Page 1 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 52 (2022), No. 1 …

PERIODIC SOLUTION FOR SECOND ORDER DAMPED DIFFERENTIAL EQUATIONS
WITH ATTRACTIVE-REPULSIVE SINGULARITIES 1. Introduction. In 198 Page 1 ROCKY …

For the classical N-body problem in R d with d≧ 2, Maderna–Venturelli in their remarkable
paper (Ann Math 192: 499–550, 2020) proved the existence of hyperbolic motions with any …

We characterize the circular periodic solutions of the generalized Lennard-Jones
Hamiltonian system with two particles in R^ n R n, and we analyze what of these periodic …

This work aims at the solution of two-body problem with Lennard-Jones potential via recently
developed Probabilistic Evolution Approach (PEA) proposed by M. Demiralp for explicit …

We propose the general method of proving the bifurcation of new solutions from relative
equilibria in N-body problems. The method is based on a symmetric version of Lyapunov …

In this paper, we study the global flow for the two-body problem associated to the
Buckingham potential. For this, using McGehee-type transformations, we write the …

In the present work, the two body problem using a potential of a continued fractions
procedure is reformulated. The equations of motion for two bodies moving under their …

Esta dissertação tem como objetivo o estudo das órbitas periódicas simétricas em
perturbações simétricas do problema de Kepler no plano. O estudo começa com uma …