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)