Open AccessFinding four dimensional symplectic maps with reduced chaos: Preliminary results
Author(s) -
Weishi Wan,
John R. Cary,
S.G. Shasharina
Publication year - 1998
Language(s) - English
Resource type - Reports
DOI - 10.2172/621892
Subject(s) - symplectic geometry , integrable system , chaos (operating system) , stability (learning theory) , mathematics , dynamic aperture , aperture (computer memory) , fixed point , order (exchange) , symplectomorphism , mathematical analysis , symplectic integrator , pure mathematics , physics , computer science , symplectic manifold , optics , beam (structure) , computer security , finance , storage ring , machine learning , acoustics , economics
A method for finding integrable four-dimensional symplectic maps is outlined. The method relies on solving for parameter values at which the linear stability factors of the fixed points of the map have the values corresponding to integrability. This method is applied to accelerator lattices in order to increase dynamic aperture. Results show a increase of the dynamic aperture after correction, which implies the validity of the method