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Regular version of the site

Article

Adiabatics using phase space translation and small parameter "dynamics"

Russian Journal of Mathematical Physics. 2015. Vol. 22. No. 1. P. 20-25.

For slow–fast Hamiltonian systems with one fast degree of freedom, we describe the construction of the complete adiabatic invariant and the complete adiabatic term at once in all asymptotic orders by using the small parameter “dynamics” and parallel translations in the phase space.