Hamiltonian Systems and Celestial Mechanics (HAMSYS 2015) [ Back ]

Dates:
06.09.15 - 11.09.15
Place:
Oaxaca, Mexico
Organizers:
Florin Diacu, Jaume Llibre, Ernesto Perez-Chavela
Web Site:
http://www.birs.ca/events/2015/5...

Objectives

We will bring together experts in celestial mechanics and Hamiltonian systems, whose work touches on various aspects of dynamics, such as variational methods, Aubrey-Mather theory, and ergodic theory. Our goal is to build a theoretical framework suitable to attack some of the many unsolved question of the N-body problem and to see how they can further the general field of Hamiltonian systems. Such an event will help the community undertake the following research directions:

coexistence of stable and unstable regions, analysis of mean-orbital resonances, Nekhoroshev analysis of the secular approximate invariants (mutual inclinations and eccentricities), long-period periodic orbits near invariant tori, intermediate stable/unstable invariant tori, resonant tori, instabilities, including special instances of Arnold diffusion, applications of Aubry-Mather theory to the study of bounded and parabolic orbits, applications of weak KAM and Nekhoroshev theory to the classical and the curved N-body problem, stability of periodic trajectories found by variational methods, regularization of collisions via new methods, such as the Ligon-Schaaf technique.

 

Participants

  • Arredondo Garcia, John A. (Universidad Konrad Lorenz)
  • Avendaño Camacho, Misael (Universidad de Sonora)
  • Benet, Luis (Instituto de Ciencias Físicas, UNAM)
  • Bengochea, Abimael (Universidad Autónoma Metropolitana-I México)
  • Boatto, Stefanella (U. Federal do Rio de Janeiro Brazil)
  • Burgos, Jaime (Universidad Autónoma Metropolitana-I México)
  • Calleja, Renato (IIMAS-UNAM)
  • Contreras, Gonzalo (CIMAT)
  • Corbera, Montserrrat (Universitat de Vic-Universitat Central de Catalunya, Spain)
  • Dávila Rascón, Guillermo (Universidad de Sonora)
  • Delgado, Joaquin (Universidad Autónoma Metropolitana-I México)
  • Delshams, Amadeu (Universitat Politècnica de Catalunya)
  • Diacu, Florin (University of Victoria)
  • Franco-Pérez, Luis (U. Autónoma Metropolitana-C México)
  • Galán-Vioque, Jorge (Universidad de Sevilla Spain)
  • García-Azpetia, Carlos (UNAM)
  • Gidea, Marian (Yeshiva University)
  • Hernández-Garduño, Antonio (UAM-I)
  • Ibrahim, Slim (University of Victoria)
  • Levi, Mark (PennState University)
  • Llibre, Jaume (Universitat Autònoma de Barcelona)
  • Long, Yiming (Nankai University)
  • Maderna, Ezequiel (Universidad de la República (Uruguay))
  • Martínez-Seara, Tere (Universitat Politècnica de Catalunya)
  • Meyer, Kenneth (University of Cincinnati)
  • Montgomery, Richard (University of California, Santa Cruz)
  • Muciño-Raymundo, Jesus (UNAM)
  • Offin, Daniel (Queen's University)
  • Palacián, Jesús (Universidad Publica de Navarra, Pamplona, Spain)
  • Perez-Chavela, Ernesto (Instituto Tecnológico Autónomo de México (ITAM))
  • Pinzari, Gabriella (Università Federico II)
  • Portaluri, Alessandro (Università degli Studi di Torino)
  • Robinson, Clark (Northwestern Univsersity)
  • Roldán, Pablo (Instituto Tecnologico Autonomo de Mexico (ITAM))
  • Rybicki, Slawomir (Nicolaus Copernicus University Poland)
  • Sánchez-Morgado, Héctor (UNAM)
  • Schmah, Tanya (University of Ottawa (as of July 1st 2015))
  • Schmidt, Dieter (University of Cincinnati)
  • Stoica, Cristina (Wilfrid Laurier University)
  • Ureña, Antonio J. (Universidad de Granada)
  • Valdez, Ferran (Universidad Nacional Autonoma de Mexico)
  • Wang, Zhiqiang (Sichuan University)
  • Xie, Zhifu (Virginia State University)