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Computing for accelerator physics Ilya Agapov, 7/12/09, DESY ...

Computing for accelerator physics Ilya Agapov, 7/12/09, DESY ...

Computing for accelerator physics Ilya Agapov, 7/12/09, DESY ...

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Long­term stability, dynamic aperture<br />

Poincare section <strong>for</strong> linear (left) and nonlinear maps (right)<br />

Determining stability <strong>for</strong> large­amplitude particles requires long­term tracking<br />

Symplectic integrators to avoid large error accumulation<br />

Long term stability under influence of small random perturbations (RF noise, scattering)<br />

requires sofisticated compute­intensive techniques (e.g. 6D Fokker­Planck equation)<br />

Spin dynamics in storage rings<br />

Codes: COSY, PTC,…<br />

Julia Set

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