In this paper, we distinguish between four categories of dynamics for quasiperiodically-
forced (QPF) circle maps: resonant and incommensurate regular dynamics, and strongly and …

The Lyapunov exponents of a dynamical system measure the average rate of exponential
stretching along an orbit. Positive exponents are often taken as a defining characteristic of …

Magnetic field line chaos occurs under the presence of non-axisymmetric perturbations of an
axisymmetric equilibrium and is manifested by the destruction of smooth flux surfaces …

We report the results of a systematic investigation of localized dynamical states in the model
of a one-dimensional magnetic wire, which is based on the Landau–Lifshitz–Gilbert (LLG) …

Magnetic field line chaos occurs under the presence of non-axisymmetric perturbations of an
axisymmetric equilibrium and is manifested by the destruction of smooth flux surfaces …

In this paper, we applied an approximate entropy (ApEn) analysis to nonlinear beam
dynamics. Due to the presence of strong nonlinear magnets, the degree of chaos in beam …

A nonregular oscillation is not enough to define a system as chaotic. A more in-depth
investigation is required to prove the existence of chaotic behavior, which is challenging …

Symplectic mappings of the plane serve as key models for exploring the fundamental nature
of complex behavior in nonlinear systems. Central to this exploration is the effective …

Shannon entropy, as a chaos indicator, is used for online Poincar\'e map regularization and
dynamic aperture optimization in the National Synchrotron Light Source-II (NSLS-II) ring …

Optimising lattice designs for circular colliders, such as the CERN Large Hadron Collider
(LHC), is critical to maximising performance and luminosity. Given the limited computational …