Discrete spectra can be used to measure frequencies of sinusoidal signal components.
Such a measurement consists of digitizing a compound signal, performing windowing of the …

The Methodical Accelerator Design (MAD) program for circular accelerators is in regular use
for the design and modeling of the Large Electron Positron Collider (LEP), the Large Hadron …

Normal Form is a powerful tool to analyse the nonlinear content of a complicated system like
an accelerator with its many thousands of high order multipolar errors. This technique needs …

Rotational invariant circles of area-preserving maps are an important and well-studied
example of KAM tori. John Greene conjectured that the locally most robust rotational circles …

ac dipoles in accelerators are used to excite coherent betatron oscillations at a drive
frequency close to the tune. If the excitation amplitude is slowly increased to the desired …

For generic 4D symplectic maps we propose the use of 3D phase-space slices, which allow
for the global visualization of the geometrical organization and coexistence of regular and …

This paper investigates the utility of the weighted Birkhoff average (WBA) for distinguishing
between regular and chaotic orbits of flows, extending previous results that applied the WBA …

Short-term tracking data are used to compute early indicators of long-term stability in large
hadron colliders. A phenomenological picture of the mechanisms that lead to long-term …

To compensate the beam-beam tune spread and beam-beam resonance driving terms in
the polarized proton operation in the Relativistic Heavy Ion Collider (RHIC), we will …

The statistics of Poincaré recurrence times in Hamiltonian systems typically shows a power-
law decay with chaotic trajectories sticking to some phase-space regions for long times. For …