Yannis PAPAPHILIPPOU

CERN
SL Division (AP)
CH-1211 Geneva 23
SUISSE
yannis@mail.cern.ch (or ioannis.papaphilippou@cern.ch)
 

Study of the non-linear behaviour of the Large Hadron Collider through dynamical systems methods

Abstract : Dynamical system methods are used in view of predicting the causes which limit the dynamic aperture in the LHC models. To this end, analytical one- turn maps have been produced and analysed by means of Lie algebraic methods for all models and 60 different realisations of the accelerator at injection energy. It has been of particular interest to establish the link between the individual magnetic multipoles and their higher order contributions to a specific resonance.