We study the accuracy of the conservation of adiabatic invariants in a model of a weakly coupled rotators, Most attention is devoted to n = 2 and frequency omega = (omega(1),omega(2)), with omega(2)/omega(1) quadratic irrational. We apply a heuristic approximation scheme, going back to Jeans and to Landau and Teller, and perform a very accurate numerical check of the result, observing a quite remarkable agreement.
On the conservation of adiabatic invariants for a system of coupled rotators
BENETTIN, GIANCARLO;FASSO', FRANCESCO
1997
Abstract
We study the accuracy of the conservation of adiabatic invariants in a model of a weakly coupled rotators, Most attention is devoted to n = 2 and frequency omega = (omega(1),omega(2)), with omega(2)/omega(1) quadratic irrational. We apply a heuristic approximation scheme, going back to Jeans and to Landau and Teller, and perform a very accurate numerical check of the result, observing a quite remarkable agreement.
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