Edit Profile (opens in new tab) Pérez-Chavela, Ernesto Co-Author Distance Author ID: perez-chavela.ernesto Published as: Pérez-Chavela, Ernesto; Pérez-Chavela, E.; Perez-Chavela, Ernesto; Pérez Chavela, Ernesto; Pérez, E.; Perez, Ernesto; Perez-Chavela, E. more...less Homepage: https://faculty.itam.mx/facultad/160168-ernesto-perez-chavela External Links: MGP Documents Indexed: 105 Publications since 1987, including 9 Additional arXiv Preprints 5 Contributions as Editor Co-Authors: 66 Co-Authors with 101 Joint Publications 1,073 Co-Co-Authors all top 5 Co-Authors 9 single-authored 18 Llibre, Jaume 14 Diacu, Florin Nicolae 11 Lacomba, Ernesto A. 9 Santoprete, Manuele 8 Fujiwara, Toshiaki 7 Sánchez-Cerritos, Juan Manuel 6 Bengochea, Abimael 6 Delgado, Joaquín F. 6 Rybicki, Sławomir Maciej 5 Alfaro, Felipe 5 Corbera, Montserrat 5 Mioc, Vasile 4 Vidal, Claudio 3 Andrade, Jaime 3 Franco-Pérez, Luis 3 García Rodríguez, José Antonio 3 Reyes-Victoria, J. Guadalupe 3 Tamayo, Claudia 2 Alhowaity, Sawsan 2 Arredondo, John Alexander 2 Cors, Josep Maria 2 Delgado Fernández, Joaquín 2 Falconi, Manuel J. 2 Gidea, Marian 2 Hernández-Garduño, Antonio 2 Stoica, Cristina 2 Strzelecki, Daniel 2 Susin, Antoni 1 Alfaro, Javier 1 Alvarez, Martha R. 1 Bernat, Josep 1 Bromberg, Shirley 1 Celli, Martin 1 Craig, Scott 1 Criollo, Arturo 1 Dávila, Nestor 1 Delshams, Amadeu 1 Escalona-Buendía, A. H. 1 Eudave-Muñoz, Mario 1 Galán-Vioque, Jorge 1 Galán, José 1 García-Azpeitia, Carlos 1 García-Naranjo, Luis C. 1 Gołȩbiewska, Anna 1 González Espino-Barros, Jesús 1 Kowalczyk, Marta 1 Levi, Mark L. 1 Marchesin, Marcelo 1 Marrero, Juan Carlos 1 Martínez, Regina 1 Mello, Luis Fernando O. 1 Mingarelli, Angelo Bernado 1 Petakos, Kyriakos 1 Rodríguez-Olmos, Miguel 1 Roldán, Pablo 1 Saari, Donald Gene 1 Santos, Alan Almeida 1 Simó, Carles 1 Stavinschi, Magda 1 Ureña, Antonio J. 1 Uribe, Francisco Javier 1 Vela-Arévalo, Luz Vianey 1 Velasco-Hernandez, Jorge X. 1 Velasco, Rosa María 1 Yan, Zhiming 1 Zhu, Shuqiang all top 5 Serials 9 Journal of Differential Equations 7 Miscelánea Matemática 6 Qualitative Theory of Dynamical Systems 5 Celestial Mechanics and Dynamical Astronomy 5 Journal of Nonlinear Science 4 Journal of Mathematical Physics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Analysis and Applications 3 Transactions of the American Mathematical Society 3 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Archive for Rational Mechanics and Analysis 2 Astrophysics and Space Science 2 Applied Mathematics and Computation 2 Canadian Journal of Mathematics 2 Physica D 2 Journal of Physics A: Mathematical and General 2 Discrete and Continuous Dynamical Systems 2 Communications in Nonlinear Science and Numerical Simulation 1 Nonlinearity 1 Physics Letters. A 1 Journal of Geometry and Physics 1 Canadian Mathematical Bulletin 1 Journal of Dynamics and Differential Equations 1 The Canadian Applied Mathematics Quarterly 1 Calculus of Variations and Partial Differential Equations 1 Advances in Differential Equations 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Regular and Chaotic Dynamics 1 Nonlinear Analysis. Real World Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 Aportaciones Matemáticas. Comunicaciones 1 World Scientific Monograph Series in Mathematics 1 Discrete and Continuous Dynamical Systems. Series S 1 Analysis and Mathematical Physics 1 Applied Mathematics and Nonlinear Sciences all top 5 Fields 89 Mechanics of particles and systems (70-XX) 32 Dynamical systems and ergodic theory (37-XX) 15 Ordinary differential equations (34-XX) 5 General and overarching topics; collections (00-XX) 5 Optics, electromagnetic theory (78-XX) 5 Relativity and gravitational theory (83-XX) 3 History and biography (01-XX) 3 Fluid mechanics (76-XX) 2 Quantum theory (81-XX) 2 Astronomy and astrophysics (85-XX) 2 Biology and other natural sciences (92-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of deformable solids (74-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 71 Publications have been cited 685 times in 308 Documents Cited by ▼ Year ▼ The \(n\)-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 59 2012 The \(n\)-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 44 2012 Convex four-body central configurations with some equal masses. Zbl 1117.70014 Perez-Chavela, Ernesto; Santoprete, Manuele 36 2007 Homographic solutions of the curved 3-body problem. Zbl 1323.70067 Diacu, Florin; Pérez-Chavela, Ernesto 32 2011 An intrinsic approach in the curved \(n\)-body problem. The positive curvature case. Zbl 1307.70008 Pérez-Chavela, Ernesto; Reyes-Victoria, J. Guadalupe 28 2012 An intrinsic approach in the curved \(n\)-body problem: the negative curvature case. Zbl 1323.70071 Diacu, Florin; Pérez-Chavela, Ernesto; Reyes-Victoria, J. Guadalupe 26 2012 Saari’s conjecture for the collinear \(n\)-body problem. Zbl 1069.70007 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 24 2005 On the anisotropic Manev problem. Zbl 0948.70011 Craig, Scott; Diacu, Florin; Lacomba, Ernesto A.; Perez, Ernesto 23 1999 The global flow of the Manev problem. Zbl 0884.70013 Delgado, Joaquín; Diacu, Florin N.; Lacomba, Ernesto A.; Mingarelli, Angelo; Mioc, Vasile; Perez, Ernesto; Stoica, Cristina 23 1996 New stacked central configurations for the planar 5-body problem. Zbl 1270.70039 Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto 23 2011 On the planar central configurations of the 4-body problem with three equal masses. Zbl 1169.70005 Bernat, J.; Llibre, J.; Pérez-Chavela, E. 21 2009 On the stability of tetrahedral relative equilibria in the positively curved 4-body problem. Zbl 1292.70006 Diacu, Florin; Martínez, Regina; Pérez-Chavela, Ernesto; Simó, Carles 20 2013 Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2. Zbl 1336.37022 García-Naranjo, Luis C.; Marrero, Juan C.; Pérez-Chavela, Ernesto; Rodríguez-Olmos, Miguel 18 2016 Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems. Zbl 1151.70310 Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto 17 2004 Central configurations in the charged three body problem. Zbl 0865.58022 Perez-Chavela, Ernesto; Saari, Donald G.; Susin, Antoni; Yan, Zhiming 17 1996 Triple collision in the quasi-homogeneous collinear three-body problem. Zbl 0927.70013 Pérez-Chavela, Ernesto; Vela-Arévalo, Luz Vianey 14 1998 Linear stability of relative equilibria in the charged three-body problem. Zbl 1144.70005 Alfaro, Felipe; Perez-Chavela, Ernesto 13 2008 Saari’s homographic conjecture of the three-body problem. Zbl 1151.70004 Diacu, Florin; Fujiwara, Toshiaki; Pérez-Chavela, Ernesto; Santoprete, Manuele 13 2008 Central configurations and total collisions for quasihomogeneous \(n\)-body problems. Zbl 1098.70012 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 12 2006 Symmetric Liapunov center theorem. Zbl 1378.37095 Pérez-Chavela, Ernesto; Rybicki, Sławomir; Strzelecki, Daniel 12 2017 The Kepler problem with anisotropic perturbations. Zbl 1110.70014 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 11 2005 Dynamics and regularization of the Kepler problem on surfaces of constant curvature. Zbl 1427.70035 Andrade, Jaime; Dávila, Nestor; Pérez-Chavela, Ernesto; Vidal, Claudio 10 2017 The anisotropic Schwarzschild-type problem, main features. Zbl 1062.70012 Mioc, Vasile; Pérez-Chavela, Ernesto; Stavinschi, Magda 9 2003 Zero-Hopf bifurcation for a class of Lorenz-type systems. Zbl 1351.37207 Llibre, Jaume; Pérez-Chavela, Ernesto 9 2014 Euler-type relative equilibria and their stability in spaces of constant curvature. Zbl 1426.70018 Pérez-Chavela, Ernesto; Sánchez-Cerritos, Juan Manuel 8 2018 Transversal homoclinic orbits in the collinear restricted three-body problem. Zbl 1094.70006 Llibre, J.; Perez-Chavela, E. 8 2005 Symmetric relative equilibria in the four-vortex problem with three equal vorticities. Zbl 1327.76082 Pérez-Chavela, E.; Santoprete, Manuele; Tamayo, Claudia 8 2015 A generalization of the Poincaré compactification. Zbl 1085.58006 Garcia, A.; Pérez-Chavela, E.; Susin, A. 7 2006 Dynamics in the Schwarzschild isosceles three body problem. Zbl 1305.70019 Arredondo, John A.; Pérez-Chavela, Ernesto; Stoica, Cristina 7 2014 Trapezoid central configurations. Zbl 1428.70022 Corbera, Montserrat; Cors, Josep M.; Llibre, Jaume; Pérez-Chavela, Ernesto 7 2019 Poincaré compactification of Hamiltonian polynomial vector fields. Zbl 0838.58035 Delgado, J.; Lacomba, E. A.; Llibre, J.; Pérez, E. 6 1995 Relative equilibria in the charged \(n\)-body problem. Zbl 1053.70005 Alfaro, Felipe; Pérez-Chavela, Ernesto 6 2002 On polygonal relative equilibria in the N-vortex problem. Zbl 1272.76067 Celli, M.; Lacomba, E. A.; Pérez-Chavela, E. 6 2011 Families of continua of central configurations in charged problems. Zbl 1045.70009 Alfaro, Felipe; Pérez-Chavela, Ernesto 5 2002 Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws. Zbl 1362.70016 Santos, Alan Almeida; Marchesin, Marcelo; Pérez-Chavela, Ernesto; Vidal, Claudio 5 2017 Spatial bi-stacked central configurations formed by two dual regular polyhedra. Zbl 1310.70022 Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto 5 2014 Exchange orbits in the planar \(1+4\) body problem. Zbl 1364.70023 Bengochea, A.; Galán, J.; Pérez-Chavela, E. 5 2015 Stability interchanges in a curved Sitnikov problem. Zbl 1411.70014 Franco-Pérez, Luis; Gidea, Marian; Levi, Mark; Pérez-Chavela, Ernesto 5 2016 Hyperbolic relative equilibria for the negative curved \(n\)-body problem. Zbl 1508.70017 Pérez-Chavela, Ernesto; Sánchez-Cerritos, Juan Manuel 5 2019 Periodic orbits for a class of galactic potentials. Zbl 1276.85004 Alfaro, Felipe; Llibre, Jaume; Pérez-Chavela, Ernesto 5 2013 The restricted three body problem on surfaces of constant curvature. Zbl 1421.70013 Andrade, Jaime; Pérez-Chavela, Ernesto; Vidal, Claudio 5 2018 Topological bifurcations of central configurations in the \(N\)-body problem. Zbl 1295.70006 Pérez-Chavela, Ernesto; Rybicki, Sławomir 5 2013 Symmetric Liapunov center theorem for minimal orbit. Zbl 1385.37069 Pérez-Chavela, Ernesto; Rybicki, Sławomir; Strzelecki, Daniel 4 2018 The rhomboidal charged four-body problem. Zbl 1029.70003 Alfaro, Felipe; Pérez-Chavela, Ernesto 4 2000 The rhomboidal four body problem. Global flow on the total collision manifold. Zbl 0733.70007 Delgado-Fernández, J.; Pérez-Chavela, E. 4 1991 Motions close to escapes in the rhomboidal four body problem. Zbl 0783.70007 Lacomba, Ernesto A.; Pérez-Chavela, Ernesto 4 1993 Periodic orbits for anisotropic perturbations of the Kepler problem. Zbl 1127.70006 Escalona-Buendía, A. H.; Pérez-Chavela, E. 4 2008 Horseshoe periodic orbits with one symmetry in the general planar three-body problem. Zbl 1263.70018 Bengochea, Abimael; Falconi, Manuel; Pérez-Chavela, Ernesto 4 2013 Symmetric horseshoe periodic orbits in the general planar three-body problem. Zbl 1237.85004 Bengochea, Abimael; Falconi, Manuel; Pérez-Chavela, Ernesto 3 2011 Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2. Zbl 1151.37319 Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto 3 2006 A compact model for the planar rhomboidal 4-body problem. Zbl 0764.70005 Lacomba, Ernesto A.; Pérez-Chavela, Ernesto 3 1992 Poincaré compactification of the collinear three-body problem. Zbl 0900.70159 Delgado, J.; Lacomba, E. A.; Llibre, J.; Pérez, E. 3 1993 Limit cycles for a class of second order differential equations. Zbl 1242.34052 Llibre, Jaume; Perez-Chavela, Ernesto 3 2011 Regularization of the circular restricted three body problem on surfaces of constant curvature. Zbl 1446.70021 Andrade, Jaime; Pérez-Chavela, Ernesto; Vidal, Claudio 3 2018 Relative equilibria in the 4-vortex problem bifurcating from an equilateral triangle configuration. Zbl 1386.76087 Pérez-Chavela, Ernesto; Tamayo, Claudia 2 2016 Relative equilibria for the positive curved \(n\)-body problem. Zbl 1493.70060 Pérez-Chavela, Ernesto; Sánchez-Cerritos, Juan Manuel 2 2020 Central configurations in the Schwarzschild three body problem. Zbl 1282.70014 Arredondo, John Alexander; Perez-Chavela, Ernesto 2 2013 Bifurcation of relative equilibria for vortices and general homogeneous potentials. Zbl 1437.37076 Pérez-Chavela, Ernesto; Santoprete, Manuele; Tamayo, Claudia 2 2020 Heteroclinic phenomena in the Sitnikov problem. Zbl 1033.70003 García, Antonio; Pérez-Chavela, Ernesto 1 2000 A preliminary report on a model for the immune response to “Trypanosoma cruzi”. Zbl 0921.92015 Velasco-Hernandez, Jorge X.; Perez-Chavela, Ernesto 1 1996 Global symplectic regularization for some restricted 3-body problems on \(S^1\). Zbl 1396.70012 Franco-Pérez, Luis; Pérez-Chavela, Ernesto 1 2009 On the dynamics of the Langmuir problem. Zbl 1168.70308 Diacu, Florin; Pérez-Chavela, Ernesto 1 2003 The global flow of the Schwarzschild-de Sitter problem for non negative energy. Zbl 1086.83013 Mioc, Vasile; Pérez-Chavela, Ernesto 1 2005 Poincaré compactification of the Kepler and the collinear three-body problems. Zbl 0815.70010 Delgado, J.; Lacomba, E. A.; Llibre, J.; Pérez, E. 1 1994 Poincaré’s compactification and applications to celestial mechanics. Zbl 1050.70009 Pérez-Chavela, Ernesto 1 2002 The generalized Sitnikov problem. Zbl 1138.70323 Lacomba, Ernesto A.; Llibre, Jaume; Perez-Chavela, Ernesto 1 2002 New families of periodic orbits in the 4-body problem emanating from a kite configuration. Zbl 1508.70015 Bengochea, Abimael; Hernández-Garduño, Antonio; Pérez-Chavela, Ernesto 1 2021 Continuation of relative equilibria in the \(n\)-body problem to spaces of constant curvature. Zbl 1489.70003 Bengochea, A.; García-Azpeitia, C.; Pérez-Chavela, E.; Roldan, P. 1 2022 Relative equilibria in curved restricted 4-body problems. Zbl 1444.70001 Alhowaity, Sawsan; Diacu, Florin; Pérez-Chavela, Ernesto 1 2018 Families of symmetric exchange orbits in the planar \((1+2n)\)-body problem. Zbl 1493.70055 Bengochea, Abimael; Galán-Vioque, Jorge; Pérez-Chavela, Ernesto 1 2021 Symmetric Lyapunov center theorem for orbit with nontrivial isotropy group. Zbl 1443.34043 Kowalczyk, Marta; Pérez-Chavela, Ernesto; Rybicki, Sławomir 1 2020 Continuation of relative equilibria in the \(n\)-body problem to spaces of constant curvature. Zbl 1489.70003 Bengochea, A.; García-Azpeitia, C.; Pérez-Chavela, E.; Roldan, P. 1 2022 New families of periodic orbits in the 4-body problem emanating from a kite configuration. Zbl 1508.70015 Bengochea, Abimael; Hernández-Garduño, Antonio; Pérez-Chavela, Ernesto 1 2021 Families of symmetric exchange orbits in the planar \((1+2n)\)-body problem. Zbl 1493.70055 Bengochea, Abimael; Galán-Vioque, Jorge; Pérez-Chavela, Ernesto 1 2021 Relative equilibria for the positive curved \(n\)-body problem. Zbl 1493.70060 Pérez-Chavela, Ernesto; Sánchez-Cerritos, Juan Manuel 2 2020 Bifurcation of relative equilibria for vortices and general homogeneous potentials. Zbl 1437.37076 Pérez-Chavela, Ernesto; Santoprete, Manuele; Tamayo, Claudia 2 2020 Symmetric Lyapunov center theorem for orbit with nontrivial isotropy group. Zbl 1443.34043 Kowalczyk, Marta; Pérez-Chavela, Ernesto; Rybicki, Sławomir 1 2020 Trapezoid central configurations. Zbl 1428.70022 Corbera, Montserrat; Cors, Josep M.; Llibre, Jaume; Pérez-Chavela, Ernesto 7 2019 Hyperbolic relative equilibria for the negative curved \(n\)-body problem. Zbl 1508.70017 Pérez-Chavela, Ernesto; Sánchez-Cerritos, Juan Manuel 5 2019 Euler-type relative equilibria and their stability in spaces of constant curvature. Zbl 1426.70018 Pérez-Chavela, Ernesto; Sánchez-Cerritos, Juan Manuel 8 2018 The restricted three body problem on surfaces of constant curvature. Zbl 1421.70013 Andrade, Jaime; Pérez-Chavela, Ernesto; Vidal, Claudio 5 2018 Symmetric Liapunov center theorem for minimal orbit. Zbl 1385.37069 Pérez-Chavela, Ernesto; Rybicki, Sławomir; Strzelecki, Daniel 4 2018 Regularization of the circular restricted three body problem on surfaces of constant curvature. Zbl 1446.70021 Andrade, Jaime; Pérez-Chavela, Ernesto; Vidal, Claudio 3 2018 Relative equilibria in curved restricted 4-body problems. Zbl 1444.70001 Alhowaity, Sawsan; Diacu, Florin; Pérez-Chavela, Ernesto 1 2018 Symmetric Liapunov center theorem. Zbl 1378.37095 Pérez-Chavela, Ernesto; Rybicki, Sławomir; Strzelecki, Daniel 12 2017 Dynamics and regularization of the Kepler problem on surfaces of constant curvature. Zbl 1427.70035 Andrade, Jaime; Dávila, Nestor; Pérez-Chavela, Ernesto; Vidal, Claudio 10 2017 Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws. Zbl 1362.70016 Santos, Alan Almeida; Marchesin, Marcelo; Pérez-Chavela, Ernesto; Vidal, Claudio 5 2017 Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2. Zbl 1336.37022 García-Naranjo, Luis C.; Marrero, Juan C.; Pérez-Chavela, Ernesto; Rodríguez-Olmos, Miguel 18 2016 Stability interchanges in a curved Sitnikov problem. Zbl 1411.70014 Franco-Pérez, Luis; Gidea, Marian; Levi, Mark; Pérez-Chavela, Ernesto 5 2016 Relative equilibria in the 4-vortex problem bifurcating from an equilateral triangle configuration. Zbl 1386.76087 Pérez-Chavela, Ernesto; Tamayo, Claudia 2 2016 Symmetric relative equilibria in the four-vortex problem with three equal vorticities. Zbl 1327.76082 Pérez-Chavela, E.; Santoprete, Manuele; Tamayo, Claudia 8 2015 Exchange orbits in the planar \(1+4\) body problem. Zbl 1364.70023 Bengochea, A.; Galán, J.; Pérez-Chavela, E. 5 2015 Zero-Hopf bifurcation for a class of Lorenz-type systems. Zbl 1351.37207 Llibre, Jaume; Pérez-Chavela, Ernesto 9 2014 Dynamics in the Schwarzschild isosceles three body problem. Zbl 1305.70019 Arredondo, John A.; Pérez-Chavela, Ernesto; Stoica, Cristina 7 2014 Spatial bi-stacked central configurations formed by two dual regular polyhedra. Zbl 1310.70022 Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto 5 2014 On the stability of tetrahedral relative equilibria in the positively curved 4-body problem. Zbl 1292.70006 Diacu, Florin; Martínez, Regina; Pérez-Chavela, Ernesto; Simó, Carles 20 2013 Periodic orbits for a class of galactic potentials. Zbl 1276.85004 Alfaro, Felipe; Llibre, Jaume; Pérez-Chavela, Ernesto 5 2013 Topological bifurcations of central configurations in the \(N\)-body problem. Zbl 1295.70006 Pérez-Chavela, Ernesto; Rybicki, Sławomir 5 2013 Horseshoe periodic orbits with one symmetry in the general planar three-body problem. Zbl 1263.70018 Bengochea, Abimael; Falconi, Manuel; Pérez-Chavela, Ernesto 4 2013 Central configurations in the Schwarzschild three body problem. Zbl 1282.70014 Arredondo, John Alexander; Perez-Chavela, Ernesto 2 2013 The \(n\)-body problem in spaces of constant curvature. I: Relative equilibria. Zbl 1247.70031 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 59 2012 The \(n\)-body problem in spaces of constant curvature. II: Singularities. Zbl 1247.70029 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 44 2012 An intrinsic approach in the curved \(n\)-body problem. The positive curvature case. Zbl 1307.70008 Pérez-Chavela, Ernesto; Reyes-Victoria, J. Guadalupe 28 2012 An intrinsic approach in the curved \(n\)-body problem: the negative curvature case. Zbl 1323.70071 Diacu, Florin; Pérez-Chavela, Ernesto; Reyes-Victoria, J. Guadalupe 26 2012 Homographic solutions of the curved 3-body problem. Zbl 1323.70067 Diacu, Florin; Pérez-Chavela, Ernesto 32 2011 New stacked central configurations for the planar 5-body problem. Zbl 1270.70039 Llibre, Jaume; Mello, Luis Fernando; Perez-Chavela, Ernesto 23 2011 On polygonal relative equilibria in the N-vortex problem. Zbl 1272.76067 Celli, M.; Lacomba, E. A.; Pérez-Chavela, E. 6 2011 Symmetric horseshoe periodic orbits in the general planar three-body problem. Zbl 1237.85004 Bengochea, Abimael; Falconi, Manuel; Pérez-Chavela, Ernesto 3 2011 Limit cycles for a class of second order differential equations. Zbl 1242.34052 Llibre, Jaume; Perez-Chavela, Ernesto 3 2011 On the planar central configurations of the 4-body problem with three equal masses. Zbl 1169.70005 Bernat, J.; Llibre, J.; Pérez-Chavela, E. 21 2009 Global symplectic regularization for some restricted 3-body problems on \(S^1\). Zbl 1396.70012 Franco-Pérez, Luis; Pérez-Chavela, Ernesto 1 2009 Linear stability of relative equilibria in the charged three-body problem. Zbl 1144.70005 Alfaro, Felipe; Perez-Chavela, Ernesto 13 2008 Saari’s homographic conjecture of the three-body problem. Zbl 1151.70004 Diacu, Florin; Fujiwara, Toshiaki; Pérez-Chavela, Ernesto; Santoprete, Manuele 13 2008 Periodic orbits for anisotropic perturbations of the Kepler problem. Zbl 1127.70006 Escalona-Buendía, A. H.; Pérez-Chavela, E. 4 2008 Convex four-body central configurations with some equal masses. Zbl 1117.70014 Perez-Chavela, Ernesto; Santoprete, Manuele 36 2007 Central configurations and total collisions for quasihomogeneous \(n\)-body problems. Zbl 1098.70012 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 12 2006 A generalization of the Poincaré compactification. Zbl 1085.58006 Garcia, A.; Pérez-Chavela, E.; Susin, A. 7 2006 Symmetric periodic orbits near a heteroclinic loop formed by two singular points and their invariant manifolds of dimension 1 and 2. Zbl 1151.37319 Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto 3 2006 Saari’s conjecture for the collinear \(n\)-body problem. Zbl 1069.70007 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 24 2005 The Kepler problem with anisotropic perturbations. Zbl 1110.70014 Diacu, Florin; Pérez-Chavela, Ernesto; Santoprete, Manuele 11 2005 Transversal homoclinic orbits in the collinear restricted three-body problem. Zbl 1094.70006 Llibre, J.; Perez-Chavela, E. 8 2005 The global flow of the Schwarzschild-de Sitter problem for non negative energy. Zbl 1086.83013 Mioc, Vasile; Pérez-Chavela, Ernesto 1 2005 Equilibrium points and central configurations for the Lennard-Jones 2- and 3-body problems. Zbl 1151.70310 Corbera, Montserrat; Llibre, Jaume; Pérez-Chavela, Ernesto 17 2004 The anisotropic Schwarzschild-type problem, main features. Zbl 1062.70012 Mioc, Vasile; Pérez-Chavela, Ernesto; Stavinschi, Magda 9 2003 On the dynamics of the Langmuir problem. Zbl 1168.70308 Diacu, Florin; Pérez-Chavela, Ernesto 1 2003 Relative equilibria in the charged \(n\)-body problem. Zbl 1053.70005 Alfaro, Felipe; Pérez-Chavela, Ernesto 6 2002 Families of continua of central configurations in charged problems. Zbl 1045.70009 Alfaro, Felipe; Pérez-Chavela, Ernesto 5 2002 Poincaré’s compactification and applications to celestial mechanics. Zbl 1050.70009 Pérez-Chavela, Ernesto 1 2002 The generalized Sitnikov problem. Zbl 1138.70323 Lacomba, Ernesto A.; Llibre, Jaume; Perez-Chavela, Ernesto 1 2002 The rhomboidal charged four-body problem. Zbl 1029.70003 Alfaro, Felipe; Pérez-Chavela, Ernesto 4 2000 Heteroclinic phenomena in the Sitnikov problem. Zbl 1033.70003 García, Antonio; Pérez-Chavela, Ernesto 1 2000 On the anisotropic Manev problem. Zbl 0948.70011 Craig, Scott; Diacu, Florin; Lacomba, Ernesto A.; Perez, Ernesto 23 1999 Triple collision in the quasi-homogeneous collinear three-body problem. Zbl 0927.70013 Pérez-Chavela, Ernesto; Vela-Arévalo, Luz Vianey 14 1998 The global flow of the Manev problem. Zbl 0884.70013 Delgado, Joaquín; Diacu, Florin N.; Lacomba, Ernesto A.; Mingarelli, Angelo; Mioc, Vasile; Perez, Ernesto; Stoica, Cristina 23 1996 Central configurations in the charged three body problem. Zbl 0865.58022 Perez-Chavela, Ernesto; Saari, Donald G.; Susin, Antoni; Yan, Zhiming 17 1996 A preliminary report on a model for the immune response to “Trypanosoma cruzi”. Zbl 0921.92015 Velasco-Hernandez, Jorge X.; Perez-Chavela, Ernesto 1 1996 Poincaré compactification of Hamiltonian polynomial vector fields. Zbl 0838.58035 Delgado, J.; Lacomba, E. A.; Llibre, J.; Pérez, E. 6 1995 Poincaré compactification of the Kepler and the collinear three-body problems. Zbl 0815.70010 Delgado, J.; Lacomba, E. A.; Llibre, J.; Pérez, E. 1 1994 Motions close to escapes in the rhomboidal four body problem. Zbl 0783.70007 Lacomba, Ernesto A.; Pérez-Chavela, Ernesto 4 1993 Poincaré compactification of the collinear three-body problem. Zbl 0900.70159 Delgado, J.; Lacomba, E. A.; Llibre, J.; Pérez, E. 3 1993 A compact model for the planar rhomboidal 4-body problem. Zbl 0764.70005 Lacomba, Ernesto A.; Pérez-Chavela, Ernesto 3 1992 The rhomboidal four body problem. Global flow on the total collision manifold. Zbl 0733.70007 Delgado-Fernández, J.; Pérez-Chavela, E. 4 1991 all cited Publications top 5 cited Publications all top 5 Cited by 319 Authors 43 Pérez-Chavela, Ernesto 30 Llibre, Jaume 28 Diacu, Florin Nicolae 23 Vidal, Claudio 16 Santoprete, Manuele 13 Fernandes, Antonio Carlos 11 Zhu, Shuqiang 10 Mello, Luis Fernando O. 10 Valls Anglés, Cláudia 10 Xie, Zhifu 9 Stoica, Cristina 9 Tibboel, Pieter 8 Corbera, Montserrat 7 Alvarez-Ramírez, Martha 7 Bengochea, Abimael 7 Paşca, Daniel 6 Andrade, Jaime 6 Gołȩbiewska, Anna 6 Lacomba, Ernesto A. 6 Sánchez-Cerritos, Juan Manuel 6 Stefaniak, Piotr 5 Cors, Josep Maria 5 Rybicki, Sławomir Maciej 4 Cheng, Xuhua 4 Deng, Chunhua 4 García-Naranjo, Luis C. 4 Long, Yiming 4 Shanbrom, Corey 4 She, Zhikun 4 Strzelecki, Daniel 4 Su, Xia 4 Wei, Zhouchao 4 Yuan, Pengfei 4 Zhang, Shiqing 3 Alberti, Angelo 3 Albouy, Alain 3 Borisov, Alekseĭ Vladimirovich 3 Deng, Yiyang 3 Franco-Pérez, Luis 3 García-Azpeitia, Carlos 3 García Rodríguez, José Antonio 3 Hampton, Marshall 3 Hernández-Garduño, Antonio 3 Ibrahim, Slim 3 Kowalczyk, Marta 3 Liu, Bowen 3 Mamaev, Ivan Sergeevich 3 Martínez, Regina 3 Mioc, Vasile 3 Simó, Carles 3 Vidarte, Jhon 3 Yan, Duokui 3 Zamora, Manuel 2 Alhowaity, Sawsan 2 Anisiu, Mira-Cristiana 2 Aqeel, Muhammad 2 Arredondo, John Alexander 2 Balanov, Zalman I. 2 Ballesteros, Angel 2 Barrabés, Esther 2 Blasco, Alfonso 2 Burgos-García, Jaime 2 Castro Ortega, Alberto 2 Celli, Martin 2 Cornelio, J. Lino 2 Deng, Yanxia 2 Dods, Victor 2 Espejo, D. E. 2 Falconi, Manuel J. 2 Fiaz, Muhammad Arshad 2 Fontich, Ernest 2 Fu, Yanning 2 Fujiwara, Toshiaki 2 García Guirao, Juan Luis 2 Garcia, Braulio Augusto 2 Gasull, Armengol 2 Gidea, Marian 2 Herranz, Francisco José 2 Kluczenko, Joanna 2 Krawcewicz, Wieslaw Z. 2 Kuang, Wentian 2 Lawson, Jeffrey K. 2 Li, Bingyu 2 López, Miguel Ángel 2 Makhlouf, Amar 2 Marchesin, Marcelo 2 Martínez, Raquel 2 Martínez, Y. Paulina 2 Marwan, Muhammad 2 Medina, Mario 2 Montaldi, James A. 2 Montanelli, Hadrien 2 Ouyang, Tiancheng 2 Palacián, Jesús F. 2 Paraschiv, Victor 2 Portaluri, Alessandro 2 Reyes-Victoria, J. Guadalupe 2 Roberts, Gareth E. 2 Ruiz dos Santos, Lucas 2 Sabir, Muhammad Farooq ...and 219 more Authors all top 5 Cited in 79 Serials 27 Celestial Mechanics and Dynamical Astronomy 26 Journal of Differential Equations 25 Journal of Mathematical Physics 22 Qualitative Theory of Dynamical Systems 16 Journal of Dynamics and Differential Equations 14 Journal of Nonlinear Science 13 Regular and Chaotic Dynamics 11 Journal of Geometry and Physics 10 Journal of Mathematical Analysis and Applications 9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 7 Applied Mathematics and Computation 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 6 Archive for Rational Mechanics and Analysis 6 Nonlinearity 6 Transactions of the American Mathematical Society 6 Physica D 6 SIAM Journal on Applied Dynamical Systems 4 SIAM Journal on Mathematical Analysis 4 Nonlinear Analysis. Real World Applications 3 ZAMP. 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