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SUMMARY:Timofey Zolkin: Approximate Invariants in Nonlinear Accelerator Sy
 stems
DTSTART:20260311T164500Z
DTEND:20260311T190000Z
DTSTAMP:20260418T193300Z
UID:indico-event-1655022@indico.cern.ch
DESCRIPTION:Speakers: Elizabeth Worcester\, Valerio Dao (Stony Brook Unive
 rsity)\n\nAbstract:A perturbative method for constructing approximate inva
 riants of motion directly from the equations of discrete-time symplectic s
 ystems is presented. This framework offers a natural nonlinear extension o
 f the classic Courant-Snyder (CS) theory -- a foundational cornerstone in 
 accelerator physics now spanning seven decades and historically focused on
  linear phenomena. The original CS formalism emerged under conditions wher
 e nonlinearities were weak\, design goals favored linear motion\, and anal
 ytical tools -- such as the Kolmogorov-Arnold-Moser (KAM) theory -- had no
 t yet been fully developed. While various normal form methods have been pr
 oposed to treat near-integrable dynamics\, the approach introduced here st
 ands out for its conceptual transparency\, minimal computational overhead\
 , and direct applicability to realistic systems. Its power and versatility
  are demonstrated by applying it to several operational accelerator config
 urations at the Fermi National Accelerator Laboratory (FermiLab)\, illustr
 ating how the method enables fast\, interpretable diagnostics of nonlinear
  behavior across a broad range of machine conditions.\n\nhttps://indico.ce
 rn.ch/event/1655022/
LOCATION:D-122 (SBU Physics building)
URL:https://indico.cern.ch/event/1655022/
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