BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:The anisotropic N-centre problem - Gian Marco Canneori (Universit
 à di Torino)
DTSTART:20200626T110000Z
DTEND:20200626T120000Z
UID:TALK148765@talks.cam.ac.uk
CONTACT:Renato Velozo
DESCRIPTION:We consider the planar N-centre problem of Celestial Mechanics
  in which we associate to each centre a homogeneous anisotropic potential.
  As a peculiar difference with Kepler-like potentials\, the attraction fie
 ld generated by every centre is no longer radial. This fact destroys the i
 ntegrability of the system\; however a law of conservation of the energy s
 till holds and we prove the existence of bounded periodic trajectories for
  small negative energies through variational and perturbation methods. In 
 particular\, we show that\, over a certain\nthreshold on the homogeneity d
 egree\, all the solution trajectories of this system are collisionless. Mo
 reover\, as a corollary\, we prove the existence of a symbolic dynamics fo
 r the system\, which is made much more\nchaotic by the important role play
 ed by the central configurations of the potentials taken into account.\n\n
 This is part of a forthcoming paper in collaboration with Vivina Barutello
  and Susanna Terracini.
LOCATION:Online (Ask for the link to rav25@cam.ac.uk).
END:VEVENT
END:VCALENDAR