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Examples of integrable and non-integrable systems on singular symplectic manifolds

Autor
Miranda, E.; Delshams, A.; Kiesenhoferb, A.
Tipus d'activitat
Article en revista
Revista
Journal of geometry and physics
Data de publicació
2016
Volum
115
Pàgina inicial
89
Pàgina final
97
DOI
https://doi.org/10.1016/j.geomphys.2016.06.011 Obrir en finestra nova
Projecte finançador
Dinàmica asociada a conexiones entre objetos invariantes con aplicaciones a neurociencia y astrodinámica
Repositori
http://hdl.handle.net/2117/89913 Obrir en finestra nova
URL
http://www.sciencedirect.com/science/article/pii/S0393044016301528 Obrir en finestra nova
Resum
We present a collection of examples borrowed from celestial mechanics and projective dynamics. In these examples symplectic structures with singularities arise naturally from regularization transformations, Appell’s transformation or classical changes like McGehee coordinates, which end up blowing up the symplectic structure or lowering its rank at certain points. The resulting geometrical structures that model these examples are no longer symplectic but symplectic with singularities which are...
Citació
Miranda, E., Delshams, A., Kiesenhoferb, A. Examples of integrable and non-integrable systems on singular symplectic manifolds. "Journal of geometry and physics", 2016, p. 1-16.
Paraules clau
3-body problem, Integrable systems, b-Poisson manifolds
Grup de recerca
GEOMVAP - Geometria de Varietats i Aplicacions
SD - Sistemes Dinàmics de la UPC

Participants

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