13 citations · 14 across the 11 of their papers we have counts for
12 papers
Periodic oscillations in electrostatic actuators under time delayed feedback controller
Pablo Amster, Andrés Rivera, John A. Arredondo
In this paper, we prove the existence of two positive -periodic solutions of an electrostatic actuator modeled by the time-delayed Duffing equation $$\ddot{x}(t)+f_{D}(x(t),\dot…
On the fiber product over infinite-genus Riemann surfaces
John A. Arredondo, Saúl Quispe, Camilo Ramírez Maluendas
Considering non-constant holomorphic maps , , between non-compact Riemann surfaces for which it is associated its fiber product $S_{1}\times_{(β_…
Plane polynomials and Hamiltonian vector fields determined by their singular points
John A. Arredondo, Jesús Muciño-Raymundo
Let be critical points of a polynomial in the plane , where is or . Our goal is to study the crit…
Periodic oscillations in a 2N-body problem
Oscar Perdomo, Andrés Rivera, John A. Arredondo +1
Hip-Hop solutions of the -body problem are solutions that satisfy at every instance of time, that the bodies with the same mass , are at the vertices of two regular …
Parabolicity of zero-twist tight flute surfaces and uniformization of the Loch Ness monster
John A. Arredondo, Israel Morales, Camilo Ramírez Maluendas
We study the zero-twist flute surface and we associate to each one of them a sequence of positive real numbers , with a torsion-free Fuchsi…
Symmetry Type Graphs on 4-Orbit maps
John A. Arredondo, Camilo Ramírez Maluendas, Luz Edith Santos Guerrero
It is well known that there exist twenty two symmetry type graphs associated to 4-orbit maps. For this ones we give the feasible values taken by the degree of the vertices and the…
On Infinitely generated Fuchsian groups of some infinite genus surfaces
John A. Arredondo, Camilo Ramírez Maluendas
In this paper, for a non compact and orientable surface been either: the Infinite Loch Ness monster, the Cantor tree and the Blooming Cantor tree, we construct explicitly an in…
Geometric Schotkky groups and non compact hyperbolic surface with infinite genus
John A. Arredondo, Camilo Ramírez Maluendas
The topological type of a non-compact Riemann surface is determined by its ends space and the ends having infinite genus. In this paper for a non-compact Riemann Surface …
On the Infinite Loch Ness monster
John A. Arredondo, Camilo Ramírez Maluendas
In this paper we present in a topological way the construction of the orientable surface with only one end and infinite genus, called \emph{The Infinite Loch Ness Monster}. In fact…
On infinite regular and chiral maps
John A. Arredondo, Camilo Ramírez y Ferrán Valdez
We prove that infinite regular and chiral maps take place on surfaces with at most one end. Moreover, we prove that an infinite regular or chiral map on an orientable surface with…
Relative equilibria in quasi-homogeneous three body problems
John A. Arredondo
In this paper we find the families of relative equilibria for the three body problem in the plane, when the interaction between the bodies is given by a quasi-homogeneous potential…
Dynamics in the Schwarzschild isosceles three body problem
John A. Arredondo, Ernesto Perez-Chavela, Cristina Stoica
The Schwarzschild potential, defined as U(r)=-A/r-B/r^3, where r is the distance between two mass points and A,B>0, models astrophysical and stellar dynamics systems in a classical…