2 papers
physics.acc-ph2026
Persistent homology of Hamiltonian orbits with applications to beam physics: Euler-Betti classification and topological chaos indicators
D. Iglesias Tinoco, B. Erdélyi
Estimating the dynamic aperture of circular particle accelerators typically requires expensive long-term tracking. Using classical homology, we construct a two-dimensional theoreti…
math.DS2025
Rigorous lower bounds for the domains of definition of extended generating functions
B. Erdelyi, J. Hoefkens, M. Berz
The recently developed theory of extended generating functions of symplectic maps are combined with methods to prove invertibility via high-order Taylor model methods to obtain rig…