[HTML][HTML] On a bi-stability regime and the existence of odd subharmonics in a Comb-drive MEMS model with cubic stiffness

D Núñez, L Murcia - Nonlinear Analysis: Real World Applications, 2023 - Elsevier
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 …

A proof for a stability conjecture on symmetric periodic solutions of the elliptic Sitnikov problem

X Cen, C Liu, M Zhang - SIAM Journal on Applied Dynamical Systems, 2021 - SIAM
In this paper, we aim at proving a conjecture proposed in X. Cen, X. Cheng, Z. Huang, and
M. Zhang, SIAM J. Appl. Dyn. Syst., 19 (2020), pp. 1271--1290 on the stability of symmetric …

Periodic solution of circular Sitnikov restricted four-body problem using multiple scales method

R Kumari, AK Pal, LK Bairwa - Archive of Applied Mechanics, 2022 - Springer
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 …

A symplectic dynamics approach to the spatial isosceles three-body problem

X Hu, L Liu, Y Ou, PAS Salomão, G Yu - arXiv preprint arXiv:2308.00338, 2023 - arxiv.org
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 …

On the stability of symmetric periodic solutions of the generalized elliptic Sitnikov (N+ 1)-body problem

X Cheng, F Wang, Z Liang - Journal of Differential Equations, 2023 - Elsevier
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 …

[HTML][HTML] 关于一类具有特殊对称性的牛顿方程周期解的研究

刘宝婷 - Advances in Applied Mathematics, 2023 - hanspub.org
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 …

A dual principle for symmetric periodic solutions Bi-stability in noninterdigitated Comb-drive MEMS

D Núñez, L Murcia - Discrete and Continuous Dynamical Systems …, 2024 - aimsciences.org
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 …

The Existence of Odd Symmetric Periodic Solutions in the Generalized Elliptic Sitnikov (N+ 1)-Body Problem

X Cheng, B Liu - Symmetry, 2023 - mdpi.com
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 …

On the Stability of Symmetric Periodic Orbits of a Comb-Drive Finger Actuator Model

X Cheng, B Liu - arXiv preprint arXiv:2306.10349, 2023 - arxiv.org
In this paper, we study the stability of symmetric periodic solutions of the comb-drive finger
actuator model. First, on the basis of the relationship between the potential and the period as …

Sobre un principio de Ortega y las propiedades de estabilidad lineal de respuestas periódicas con simetrías en osciladores tipo MEMS

L Murcia Terranova - repositorio.unal.edu.co
En este trabajo se obtiene un novedoso resultado de existencia de respuestas periódicas
impares con ciertas propiedades nodales en el contexto de una familia general de …