EUROPEAN ORGANIZATION FOR NUCLEAR RESEARCH CERN{PS/96{12 (PA) 6 February 1996 PLATO: A PROGRAM LIBRARY FOR THE ANALYSIS OF NONLINEAR BETATRONIC MOTION

نویسندگان

  • M. Giovannozzi
  • E. Todesco
  • A. Bazzani
  • R. Bartolini
چکیده

We present PLATO (Perturbative Lattice Analysis and Tracking tOols), a program library for analysing four-dimensional betatronic motion in circular particle accelerators. The 136 included routines provide both the resonant and the non-resonant perturbative series that approximate nonlinear motion (normal forms); standard numerical tools such as the Lyapunov exponent, frequency analysis and evaluation of the dynamic aperture are also available. The aim of the library is to apply these techniques, originally developed for the analysis of nonlinear dynamic systems, to realistic models of particle accelerators. To ensure the highest exibility, the code is fully compatible with standard tracking programs commonly used in the accelerator physics community. (Submitted to Nuclear Instruments and Methods in Physics Research) 1) Work partially supported by EC Human Capital and Mobility Contract No. ERBCHRXCT940480. 2) INFN, Sezione di Bologna, Via Irnerio 46, I{40126 Bologna, Italy. 3) Department of Mathematics, Piazza di Porta S. Donato 3, I{40126 Bologna, Italy.

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تاریخ انتشار 1996