✦ LIBER ✦

On the conservation of adiabatic invariants for a system of coupled rotators

✍ Scribed by G. Benettin; A. Carati; F. Fassò

Book ID: 104297389
Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 737 KB
Volume: 104
Category: Article
ISSN: 0167-2789
DOI: 10.1016/s0167-2789(97)00295-9

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✦ Synopsis

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 w = (wl, w2), with w2/o)l 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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