 0025 C. Chandre, R.S. MacKay
 Approximate renormalization for the breakup of invariant tori with three frequencies
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Jan 17, 00

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Abstract. We construct an approximate renormalization transformation for
Hamiltonian systems with three degrees of freedom in order to study
the breakup of invariant tori with three incommensurate frequencies
which belong to the cubic field $Q(\tau)$, where
$\tau^3+\tau^22\tau1=0$. This renormalization has two fixed
points~: a stable one and a hyperbolic one with a codimension one
stable manifold. We compute the associated critical exponents that
characterize the universality class for the breakup of the
invariant tori we consider.
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