Based on the method of canonical transformation of variables and the classical perturbation
theory, this innovative book treats the systematic theory of symplectic mappings for …

A scaling law for the time dependence of the dynamic aperture, ie, the region of phase
space<? format?> where stable motion occurs, has been proposed in previous papers [M …

The design stored beam energy in the CERN high-luminosity large hadron collider (HL-
LHC) upgrade is about 700 MJ, with about 36 MJ in the beam tails, according to estimates …

Determining a model for the time scaling of the dynamic aperture of a circular accelerator is
a topic of strong interest and intense research efforts in accelerator physics. The motivation …

Nonlinear magnetic errors in low-β insertions can have a significant impact on the beam-
dynamics of a collider, such as the CERN Large Hadron Collider (LHC) and its luminosity …

The efficient detection of chaotic behavior in orbits of a complex dynamical system is an
active domain of research. Several indicators have been proposed, and new ones have …

In recent years, modelling the evolution of beam losses in circular proton machines starting
from the evolution of the dynamic aperture has been the focus of intense research. Results …

The advent of circular accelerators based on superconducting magnets has revolutionized
the field of beam dynamics, with particle motion turning from linear to nonlinear due to …

In recent years, modelling the evolution of beam losses in circular proton machines starting
from the concept of dynamic aperture its time evolution has been the focus of intense …

The UA9 setup, installed in the Super Proton Synchrotron (SPS) at CERN, was exploited for
a proof of principle of the double-crystal scenario, proposed to measure the electric and the …