A perturbative framework builds approximate invariants for nonlinear symplectic maps as a direct nonlinear extension of Courant-Snyder theory, demonstrated on operational accelerator configurations.
Dragt,Lie Methods for Nonlinear Dynamics with Applications to Accelerator Physics(University of Maryland, Center for Theoretical Physics, Department of Physics, College Park, 1997)
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Geometry of Almost-Conserved Quantities in Symplectic Maps. Part III: Approximate Invariants in Nonlinear Accelerator Systems
A perturbative framework builds approximate invariants for nonlinear symplectic maps as a direct nonlinear extension of Courant-Snyder theory, demonstrated on operational accelerator configurations.