E. Pérez-Chavela

发表

Three-body relative equilibria on $\mathbb{S}^2$ I: Euler configurations

T. Fujiwara, E. Pérez-Chavela, 2022, 2202.10351.

Topological bifurcations of central configurations in the N-body problem

S. Rybicki, E. Pérez-Chavela, 2013 .

Homographic solutions of the curved 3-body problem

F. Diacu, E. Pérez-Chavela, 2010, 1001.1789.

Saari's Homographic Conjecture of the Three-Body Problem

F. Diacu, T. Fujiwara, E. Pérez-Chavela, 2008, 0909.4991.

Triple Collision in the Quasi-Homogeneous Collinear Three-Body Problem

L. V. Vela-Arevalo, E. Pérez-Chavela, 1998 .

RELATIVE EQUILIBRIA IN THE CHARGED n-BODY PROBLEM

E. Pérez-Chavela, Felipe Alfaro, 2022 .

Exchange orbits in the planar 1+4 body problem

J. Galán, E. Pérez-Chavela, A. Bengochea, 2015 .

Topological bifurcation of relative equilibria for the Kirchhoff 8-vortex problem

S. Rybicki, E. Pérez-Chavela, 2015 .

Euler-type Relative Equilibria and their Stability in Spaces of Constant Curvature

E. Pérez-Chavela, Juan Manuel Sánchez-Cerritos, 2018, Canadian Journal of Mathematics.

The Two-body Global Flow for Negative Energy Under the Schwarzschild–de Sitter Potential

V. Mioc, E. Pérez-Chavela, 2009 .

The curved symmetric \begin{document}$ 2 $\end{document} – and \begin{document}$ 3 $\end{document} –center problem on constant negative surfaces

Juan Manuel Sánchez-Cerritos, E. Pérez-Chavela, Sawsan Alhowaity, 2021 .

Relative Equilibria in Curved Restricted 4-body Problems

F. Diacu, E. Pérez-Chavela, Sawsan Alhowaity, 2018, Canadian Mathematical Bulletin.

A compact model for the planar rhomboidal 4-body problem

E. Pérez-Chavela, E. Lacomba, 1992 .

Hyperbolic regularization of the restricted three–body problem on curved spaces

Juan Manuel Sánchez-Cerritos, E. Pérez-Chavela, 2021, Analysis and Mathematical Physics.

The n-Body Problem in Spaces of Constant Curvature. Part II: Singularities

F. Diacu, E. Pérez-Chavela, Manuele Santoprete, 2012, J. Nonlinear Sci..

Central configurations and total collisions for quasihomogeneous n-body problems

F. Diacu, E. Pérez-Chavela, Manuele Santoprete, 2006, 0909.4989.

The Kepler problem with anisotropic perturbations

F. Diacu, E. Pérez-Chavela, Manuele Santoprete, 2005, 0909.4906.

Three-body relative equilibria on $S^2$ II: Extended Lagrangian configurations

T. Fujiwara, E. Pérez-Chavela, 2022, 2202.12708.

The curved symmetric $ 2 $– and $ 3 $–center problem on constant negative surfaces

Juan Manuel Sánchez-Cerritos, E. Pérez-Chavela, Sawsan Alhowaity, 2021, Communications on Pure & Applied Analysis.

Hyperbolic relative equilibria for the negative curved n-body problem

Ernesto Pérez-Chavela, Juan Manuel Sánchez-Cerritos, E. Pérez-Chavela, 2019, Commun. Nonlinear Sci. Numer. Simul..

Regularization of the Circular Restricted Three Body Problem on Surfaces of Constant Curvature

E. Pérez-Chavela, C. Vidal, J. Andrade, 2018 .

The restricted three body problem on surfaces of constant curvature

E. Pérez-Chavela, C. Vidal, J. Andrade, 2018, Journal of Differential Equations.

Regularization of the Circular Restricted Three Body Problem on Surfaces of Constant Curvature

E. Pérez-Chavela, C. Vidal, J. Andrade, 2017, Journal of Dynamics and Differential Equations.

On the non-existence of hyperbolic polygonal relative equilibria for the negative curved $n$--body problem with equal masses

Juan Manuel Sánchez-Cerritos, E. Pérez-Chavela, 2016, 1612.09270.

Stability of Euler-Type Relative Equilibria in the Curved Three Body Problem

E. Pérez-Chavela, Juan Manuel Sánchez Cerritos, 2015 .

On the stability of tetrahedral relative equilibria in the positively curved 4-body problem

C. Simó, R. Martínez, F. Diacu, 2012, 1204.5729.

M\"obius solutions of the curved $n$--body problem for positive curvature

E. Pérez-Chavela, J. Reyes-Victoria, 2012, 1207.0737.

An intrinsic approach in the curved n-body problem. The positive curvature case

E. Pérez-Chavela, J. Reyes-Victoria, 2012 .

The n-Body Problem in Spaces of Constant Curvature. Part I: Relative Equilibria

F. Diacu, E. Pérez-Chavela, Manuele Santoprete, 2008, J. Nonlinear Sci..

The n-Body Problem in Spaces of Constant Curvature. Part II: Singularities

Florin Diacu, Manuele Santoprete, Ernesto Pérez-Chavela, 2012, Journal of Nonlinear Science.

An intrinsic approach in the curved n-body problem: The negative curvature case

F. Diacu, E. Pérez-Chavela, J. G. R. Victoria, 2011, 1109.2652.

Saari's conjecture for the collinear $n$-body problem

F. Diacu, E. Pérez-Chavela, Manuele Santoprete, 2004, 0909.4909.

Foliation of the Phase Space for the Kepler Problem with Anisotropic Perturbations

E. Pérez-Chavela, A. Criollo, 2009 .

Periodic orbits for anisotropic perturbations of the Kepler problem

E. Pérez-Chavela, A. Escalona-Buendia, 2008 .

The Anisotropic Schwarzschild-Type Problem, Main Features

Magda Stavinschi, Ernesto Pérez-Chavela, Vasile Mioc, 2003 .

Linear stability of relative equilibria in the charged three-body problem☆

E. Pérez-Chavela, Felipe Alfaro, 2008 .

Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2

Jaume Llibre, Montserrat Corbera, Ernesto Pérez-Chavela, 2006 .

Dynamics in the Schwarzschild Isosceles Three Body Problem

Ernesto Pérez-Chavela, Cristina Stoica, John A. Arredondo, 2014, Journal of Nonlinear Science.

A Generalization of the Poincaré Compactification

A. Susín, E. Pérez-Chavela, A. García, 2006 .

Trapezoid central configurations

Jaume Llibre, Josep M. Cors, Montserrat Corbera, 2017, Appl. Math. Comput..

Stratospheric ozone dynamics according to the Chapman mechanism

R. M. Velasco, F. Uribe, E. Pérez-Chavela, 2008 .

Periodic orbits for a class of galactic potentials

J. Llibre, E. Pérez-Chavela, Felipe Alfaro, 2012, 1211.5347.

Convex Four-Body Central Configurations with Some Equal Masses

Manuele Santoprete, Ernesto Perez-Chavela, E. Pérez-Chavela, 2007, 0909.4883.

The global flow in the Chapman mechanism

R. M. Velasco, F. Uribe, E. Pérez-Chavela, 2009 .

Zero-Hopf bifurcation for a class of Lorenz-type systems

J. Llibre, E. Pérez-Chavela, 2014 .

Hamiltonian Systems and Celestial Mechanics (HAMSYS-98)

J. Llibre, E. Pérez-Chavela, E. Lacomba, 2000 .

Limit cycles for a class of second order differential equations

J. Llibre, E. Pérez-Chavela, 2011 .

Dynamics and Regularization of the Kepler Problem on Surfaces of Constant Curvature

E. Pérez-Chavela, C. Vidal, J. Andrade, 2017, Canadian Journal of Mathematics.

New stacked central configurations for the planar 5-body problem

L. F. Mello, J. Llibre, E. Pérez-Chavela, 2011 .

Symmetric Liapunov center theorem

S. Rybicki, E. Pérez-Chavela, Daniel Strzelecki, 2017, Calculus of Variations and Partial Differential Equations.

Symmetric Liapunov center theorem

S. Rybicki, E. Pérez-Chavela, Daniel Strzelecki, 2016, 1607.01143.

Equilibrium Points and Central Configurations for the Lennard-Jones 2- and 3-Body Problems

J. Llibre, E. Pérez-Chavela, Montserrat Corbera, 2004 .

New families of periodic orbits in the 4-body problem emanating from a kite configuration

Antonio Hernández-Garduño, Ernesto Pérez-Chavela, Abimael Bengochea, 2021, Appl. Math. Comput..

Relative Equilibria in the 4-Vortex Problem Bifurcating from an Equilateral Triangle Configuration

E. Pérez-Chavela, Claudia Tamayo, 2016 .

Motions close to escapes in the rhomboidal four body problem

E. Pérez-Chavela, E. Lacomba, 1993 .

The Rhomboidal Four Body Problem. Global Flow on the Total Collision Manifold

E. Pérez-Chavela, J. Delgado-Fernandez, 1991 .

Three-Body Relative Equilibria on \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mathbb{S}^{2}$$\end{document}

E. Pérez-Chavela, T. Fujiwara, 2023, Regular and Chaotic Dynamics.

Heteroclinic Phenomena in the Sitnikov Problem

Ernesto Perez-Chavela, Antonio Garcia, E. Pérez-Chavela, 2000 .

Regularization of Binary Collisions for Quasihomogeneous Potentials

F. Diacu, E. Pérez-Chavela, H. Cabral, 2003 .

Doubly-symmetric horseshoe orbits in the general planar three-body problem

J. Galán, E. Pérez-Chavela, A. Bengochea, 2013 .

Horseshoe periodic orbits with one symmetry in the general planar three-body problem

M. Falconi, E. Pérez-Chavela, A. Bengochea, 2012 .

Symmetric horseshoe periodic orbits in the general planar three-body problem

M. Falconi, E. Pérez-Chavela, A. Bengochea, 2011 .