Approximate Invariant Analysis combines approximate invariants with geometric Poincaré rotation number methods to extract betatron frequencies in nonlinear accelerator beam dynamics.
Dragt,Lie Methods for Nonlinear Dynamics with Applications to Accelerator Physics(University of Mary- land, 2011)
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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.