We study the accuracy of the conservation of adiabatic invariants in a model of n weakly coupled rotators. Most attention is devoted to n = 2 and frequency ω = (ω1, ω2), with ω2/ω1 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 / G. Benettin, A. Carati, F. Fassò. - In: PHYSICA D-NONLINEAR PHENOMENA. - ISSN 0167-2789. - 104:3-4(1997), pp. 253-268.
On the conservation of adiabatic invariants for a system of coupled rotators
A. CaratiSecondo
;
1997
Abstract
We study the accuracy of the conservation of adiabatic invariants in a model of n weakly coupled rotators. Most attention is devoted to n = 2 and frequency ω = (ω1, ω2), with ω2/ω1 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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