- 00-75 A. Haro, R. de la Llave
- How relevant are KAM tori in chains of coupled oscillators?
(787K, Latex2.0 Revtex 3.1 with eps)
Feb 17, 00
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Abstract. We argue that to explain lack of
equipartition of energy in chains of coupled oscillators,
besides KAM tori, one should consider
also secondary tori.
Indeed, in certain regimes,
we present a quantitative prediction
of the relative abundance of these secondary
tori which implies that secondary tori
occupy much more measure than
the KAM tori.
prediction is confirmed in numerical experiments.