NERO: a code for the nonlinear evaluation of resonances in one-turn mappings

Published: 02-10-1997| Version 1 | DOI: 10.17632/w5v29pthf6.1
E Todesco,
M Gemmi,
M Giovannozzi


Abstract We describe a code that evaluates the stability, the position and the width of resonances in four-dimensional symplectic mappings. The code is based on the computation of the resonant perturbative series through the program ARES, and on the analysis of the resonant orbits of the interpolating Hamiltonian. The code is dedicated to the study and to the comparison of the nonlinear behaviour in one-turn betatronic maps. Title of program: NERO Catalogue Id: ADGR_v1_0 Nature of problem This code allows one to reconstruct the dynamics in phase space of a four-dimensional symplectic mapping using the perturbative approach. The position of the network of resonances and their strength are evaluated via analytical methods. This approach is complementary to numerical methods for the analysis of the global dynamics in phase space. It can be useful for evaluating the relevance of the nonlinear effects in betatronic motion of hadron accelerators. Versions of this program held in the CPC repository in Mendeley Data ADGR_v1_0; NERO; 10.1016/S0010-4655(97)00091-X This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)