Approximate Invariant Analysis combines approximate invariants with geometric Poincaré rotation number methods to extract betatron frequencies in nonlinear accelerator beam dynamics.
Construction of higher order symplectic integrators
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Approximate Invariant Analysis: An Efficient Framework for Nonlinear Beam Dynamics, Part I: Geometric Approaches of the Poincar\'e Rotation Number
Approximate Invariant Analysis combines approximate invariants with geometric Poincaré rotation number methods to extract betatron frequencies in nonlinear accelerator beam dynamics.