In this paper we study two different problems. First we present a novel result about the
existence of a family of odd subharmonics with prescribed nodal properties for a general …

In this paper, the approximated periodic solutions of the circular Sitnikov restricted four–body
problem (RFBP) were constructed using the Lindstedt–Poincaré method, by removing the …

The main purpose of present work is to find approximated periodic solution in the compact
form of the circular Sitnikov restricted four-body problem by getting liberate of the secular …

In this paper, we aim to showcase the significant impacts of albedo and eccentricity of the
primaries on the infinitesimal mass within the elliptic case of the Sitnikov five-body problem …

The current framework involves a configuration of two pairs of primary celestial bodies
engaged in synchronized circular orbits around a central point of mass. Additionally, an …

We study the spatial isosceles three-body problem from the perspective of Symplectic
Dynamics. For certain choices of mass ratio, angular momentum, and energy, the dynamics …

In this paper, we study the stability of symmetric periodic solutions of the generalized elliptic
Sitnikov (N+ 1)-body problem. First, based on the relationship between the potential and the …

近年来, 对牛顿方程周期解的研究引起了国内外学者的广泛关注. 因此, 本文对一类具有特殊对称
性的牛顿方程非常数周期解存在性和稳定性的研究现状进行了梳理. Abstract: In recent years …

In this work, we introduce a new principle that provides a tool for searching for odd periodic
responses of a general nonlinear oscillator with symmetries. This result arises as the dual …

In this paper, we study the existence of the families of odd symmetric periodic solutions in
the generalized elliptic Sitnikov (N+ 1)-body problem for all values of the eccentricity e∈[0 …