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1

Saari's Homographic Conjecture of the Three-Body Problem

Florin Diacu, Toshiaki Fujiwara, Ernesto Pérez-Chavela and Manuele Santoprete

Journal:

Transactions of the American Mathematical Society

Year:

2008

Language:

english

File:

PDF, 2.06 MB

english, 2008

2

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

Llibre, Jaume, Pérez-Chavela, Ernesto

Journal:

Discrete and Continuous Dynamical Systems - Series B

Year:

2014

Language:

english

File:

PDF, 275 KB

english, 2014

3

Central Configurations in the Schwarzschild Three Body Problem

John Alexander Arredondo, Ernesto Perez-Chavela

Journal:

Qualitative Theory of Dynamical Systems

Year:

2013

Language:

english

File:

PDF, 477 KB

english, 2013

4

Saari's Conjecture for the Collinear n-Body Problem

Florin Diacu, Ernesto Pérez-Chavela and Manuele Santoprete

Journal:

Transactions of the American Mathematical Society

Year:

2005

Language:

english

File:

PDF, 778 KB

english, 2005

5

Central configurations and total collisions for quasihomogeneous -body problems

Florin Diacu, Ernesto Pérez-Chavela, Manuele Santoprete

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2006

Language:

english

File:

PDF, 254 KB

english, 2006

6

Convex Four-Body Central Configurations with Some Equal Masses

Ernesto Perez-Chavela, Manuele Santoprete

Journal:

Archive for Rational Mechanics and Analysis

Year:

2007

Language:

english

File:

PDF, 160 KB

english, 2007

7

Stratospheric ozone dynamics according to the Chapman mechanism

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

Journal:

Journal of Mathematical Chemistry

Year:

2008

Language:

english

File:

PDF, 508 KB

english, 2008

8

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

Florin Diacu, Ernesto Pérez-Chavela, Manuele Santoprete

Journal:

Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 387 KB

english, 2012

9

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

Florin Diacu, Ernesto Pérez-Chavela, Manuele Santoprete

Journal:

Journal of Nonlinear Science

Year:

2012

Language:

english

File:

PDF, 636 KB

english, 2012

10

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

Pérez-Chavela, Ernesto, Reyes-Victoria, J. Guadalupe

Journal:

Transactions of the American Mathematical Society

Year:

2012

Language:

english

File:

PDF, 304 KB

english, 2012

11

Symmetric Liapunov center theorem

Ernesto Pérez-Chavela,Sławomir Rybicki…

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2017

Language:

english

File:

PDF, 616 KB

english, 2017

12

Hyperbolic relative equilibria for the negative curved n –body problem

Pérez-Chavela, Ernesto, Manuel Sánchez-Cerritos, Juan

Journal:

Communications in Nonlinear Science and Numerical Simulation

Year:

2019

Language:

english

File:

PDF, 3.07 MB

english, 2019

13

Book Reviews

James A. Drake,Ernesto Pérez-Chavela

Journal:

Bulletin of Mathematical Biology

Year:

1998

Language:

english

File:

PDF, 61 KB

english, 1998

14

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

Ernesto Pérez-Chavela, Luz Vianey Vela-Arévalo

Journal:

Journal of Differential Equations

Year:

1998

Language:

english

File:

PDF, 428 KB

english, 1998

15

Periodic orbits for anisotropic perturbations of the Kepler problem

A.H. Escalona-Buendía, E. Pérez-Chavela

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2008

Language:

english

File:

PDF, 956 KB

english, 2008

16

Global symplectic regularization for some restricted 3-body problems on

Franco-Pérez Luis, Pérez-Chavela Ernesto

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 836 KB

english, 2009

17

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

Felipe Alfaro, Ernesto Perez-Chavela

Journal:

Journal of Differential Equations

Year:

2008

Language:

english

File:

PDF, 198 KB

english, 2008

18

Homographic solutions of the curved 3-body problem

Florin Diacu, Ernesto Pérez-Chavela

Journal:

Journal of Differential Equations

Year:

2011

Language:

english

File:

PDF, 1.39 MB

english, 2011

19

A compact model for the planar rhomboidal 4-body problem

Ernesto A. Lacomba, Ernesto Pérez-Chavela

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1992

Language:

english

File:

PDF, 464 KB

english, 1992

20

Motions close to escapes in the rhomboidal four body problem

Ernesto A. Lacomba, Ernesto Pérez-Chavela

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

1993

Language:

english

File:

PDF, 1.08 MB

english, 1993

21

Transversal Homoclinic Orbits in the Collinear Restricted Three-Body Problem

J. Llibre, E. Perez-Chavela

Journal:

Journal of Nonlinear Science

Year:

2005

Language:

english

File:

PDF, 143 KB

english, 2005

22

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

Abimael Bengochea, Manuel Falconi, Ernesto Pérez-Chavela

Journal:

Astrophysics and Space Science

Year:

2011

Language:

english

File:

PDF, 789 KB

english, 2011

23

New stacked central configurations for the planar 5-body problem

Jaume Llibre, Luis Fernando Mello, Ernesto Perez-Chavela

Journal:

Celestial Mechanics and Dynamical Astronomy

Year:

2011

Language:

english

File:

PDF, 267 KB

english, 2011

24

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

Arturo Criollo, Ernesto Pérez-Chavela

Journal:

Qualitative Theory of Dynamical Systems

Year:

2009

Language:

english

File:

PDF, 1.02 MB

english, 2009

25

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

Vasile Mioc, Ernesto Pérez-Chavela

Journal:

Qualitative Theory of Dynamical Systems

Year:

2009

Language:

english

File:

PDF, 493 KB

english, 2009

26

The global flow in the Chapman mechanism

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

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2009

Language:

english

File:

PDF, 636 KB

english, 2009

27

Limit cycles for a class of second order differential equations

Jaume Llibre, Ernesto Perez-Chavela

Journal:

Physics Letters A

Year:

2011

Language:

english

File:

PDF, 169 KB

english, 2011

28

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

Florin Diacu, Ernesto Pérez-Chavela, J. Guadalupe Reyes Victoria

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 341 KB

english, 2012

29

Topological bifurcations of central configurations in the -body problem

Ernesto Pérez-Chavela, Sławomir Rybicki

Journal:

Nonlinear Analysis: Real World Applications

Year:

2013

Language:

english

File:

PDF, 262 KB

english, 2013

30

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

Diacu, Florin, Martínez, Regina, Pérez-Chavela, Ernesto, Simó, Carles

Journal:

Physica D: Nonlinear Phenomena

Year:

2013

Language:

english

File:

PDF, 1.43 MB

english, 2013

31

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

Bengochea, Abimael, Galán, Jorge, Pérez-Chavela, Ernesto

Journal:

Astrophysics and Space Science

Year:

2013

Language:

english

File:

PDF, 748 KB

english, 2013

32

Spatial bi-stacked central configurations formed by two dual regular polyhedra

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

Journal:

Journal of Mathematical Analysis and Applications

Year:

2014

Language:

english

File:

PDF, 614 KB

english, 2014

33

Periodic orbits for a class of galactic potentials

Felipe Alfaro,Jaume Llibre,Ernesto Pérez-Chavela

Journal:

Astrophysics and Space Science

Year:

2013

Language:

english

File:

PDF, 317 KB

english, 2013

34

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

Pérez-Chavela, Ernesto, Rybicki, Sławomir

Journal:

Journal of Mathematical Analysis and Applications

Year:

2015

Language:

english

File:

PDF, 342 KB

english, 2015

35

Dynamics in the Schwarzschild Isosceles Three Body Problem

Arredondo, John A., Pérez-Chavela, Ernesto, Stoica, Cristina

Journal:

Journal of Nonlinear Science

Year:

2014

Language:

english

File:

PDF, 806 KB

english, 2014

36

Exchange orbits in the planar 1+4

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

Journal:

Physica D: Nonlinear Phenomena

Year:

2015

Language:

english

File:

PDF, 1011 KB

english, 2015

37

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

M. Corbera, J. Llibre, E. Pérez-chavela

Year:

2006

Language:

english

File:

PDF, 231 KB

english, 2006

38

The symmetric elliptic and hyperbolic restricted 3-body problem on the unit circle

Luis, Franco-Pérez, Ernesto, Pérez-Chavela

Journal:

Journal of Geometry and Physics

Year:

2016

Language:

english

File:

PDF, 593 KB

english, 2016

39

Classification and stability of relative equilibria for the two-body problem in the hyperbolic space of dimension 2

García-Naranjo, Luis C., Marrero, Juan C., Pérez-Chavela, Ernesto, Rodríguez-Olmos, Miguel

Journal:

Journal of Differential Equations

Year:

2016

Language:

english

File:

PDF, 513 KB

english, 2016

40

Stability interchanges in a curved Sitnikov problem

Franco-Pérez, Luis, Gidea, Marian, Levi, Mark, Pérez-Chavela, Ernesto

Journal:

Year:

2016

Language:

english

File:

PDF, 1.06 MB

english, 2016

41

Preface

Alvarez, M., Corbera, M., Cors, J. M., Llibre, J., Pérez-Chavela, E.

Journal:

Qualitative Theory of Dynamical Systems

Year:

2015

Language:

english

File:

PDF, 314 KB

english, 2015

42

[WORLD SCIENTIFIC Proceedings of the III International Symposium - Pátzcuaro, Michoacán, México (7 – 11 December 1998)] Hamiltonian Systems and Celestial Mechanics - HETEROCLINIC PHENOMENA IN THE SITNIKOV PROBLEM

GARCIA, ANTONIO, PEREZ-CHAVELA, ERNESTO

Language:

english

File:

PDF, 442 KB

english

43

Continuation and bifurcations of concave central configurations in the four and five body-problems for homogeneous force laws

Santos, Alan Almeida, Marchesin, Marcelo, Pérez-Chavela, Ernesto, Vidal, Claudio

Journal:

Journal of Mathematical Analysis and Applications

Year:

2016

Language:

english

File:

PDF, 1.50 MB

english, 2016

44

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

Andrade, Jaime, Pérez-Chavela, Ernesto, Vidal, Claudio

Journal:

Journal of Dynamics and Differential Equations

Year:

2017

Language:

english

File:

PDF, 1.85 MB

english, 2017

45

Symmetric Liapunov center theorem for minimal orbit

Pérez-Chavela, Ernesto, Rybicki, Sławomir, Strzelecki, Daniel

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 1.04 MB

english, 2018

46

The restricted three body problem on surfaces of constant curvature

Andrade, Jaime, Pérez-Chavela, Ernesto, Vidal, Claudio

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 2.28 MB

english, 2018

47

Relative Equilibria in Curved Restricted $4$-body Problems

Alhowaity, Sawsan, Diacu, Florin, Pérez-Chavela, Ernesto

Year:

2018

Language:

english

File:

PDF, 766 KB

english, 2018

48

Euler-type relative equilibria in spaces of constant curvature and their stability

Pérez-Chavela, Ernesto, Sánchez-Cerritos, Juan Manuel

Year:

2018

Language:

english

File:

PDF, 1.72 MB

english, 2018

49

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

Andrade, Jaime, Dávila, Nestor, Pérez-Chavela, Ernesto, Vidal, Claudio

Year:

2017

Language:

english

File:

PDF, 1.36 MB

english, 2017

50

Trapezoid central configurations

Corbera, Montserrat, Cors, Josep M., Llibre, Jaume, Pérez-Chavela, Ernesto

Journal:

Applied Mathematics and Computation

Year:

2019

Language:

english

File:

PDF, 2.18 MB

english, 2019