The symmetric McMillan map with mixed nonlinearity reduces to two key parameters and yields exact action-angle variables with closed-form rotation number and nonlinear tune shift.
Proof of a theorem of A. N. Kolmogorov on the preservation of conditionally periodic motions under a small perturbation of the Hamiltonian
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Dynamics of McMillan mappings III. Symmetric map with mixed nonlinearity
The symmetric McMillan map with mixed nonlinearity reduces to two key parameters and yields exact action-angle variables with closed-form rotation number and nonlinear tune shift.