First-Order Averaging Principles for Maps with Applications to Beam Dynamics in Particle Accelerators
| dc.creator | Dumas, Scott | |
| dc.creator | Ellison, James A. | |
| dc.creator | Vogt, Mathias | |
| dc.date | 2003-11-13 | |
| dc.date.accessioned | 2026-07-07T05:50:29Z | |
| dc.date.available | 2026-07-07T05:50:29Z | |
| dc.description | For slowly evolving, discrete-time-dependent systems of difference equations (iterated maps), we believe the simplest means of demonstrating the validity of the averaging method at first order is by way of a lemma that we call Besjes' inequality. In this paper, we develop the Besjes inequality for identity maps with perturbations that are (i) at low-order resonance (periodic with short period) and (ii) far from low-order resonance in the discrete time. We use these inequalities to prove corresponding first-order averaging principles, together with a principle of adiabatic invariance on extended timescales; and we generalize and apply these mathematical results to model problems in accelerator beam dynamics, and to the Henon map. | |
| dc.description | Submitted to SIAM Journal of Dynamical Systems | |
| dc.identifier | https://arxiv.org/abs/physics/0311058 | |
| dc.identifier | http://arxiv.org/abs/physics/0311058 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/85725 | |
| dc.subject | Accelerator Physics | |
| dc.subject | Dynamical Systems | |
| dc.title | First-Order Averaging Principles for Maps with Applications to Beam Dynamics in Particle Accelerators | |
| dc.type | text |