 92137 E.Bollt , J.Meiss
 Breakup of Invariant Tori for the Four Dimensional SemiStandard Map
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Oct 16, 92

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Abstract. \begin{abstract}
We compute the domain of existence of twodimensional invariant tori
with fixed frequency vectors for a fourdimensional, complex,
symplectic map. The map is a generalization of the semistandard map
studied by Greene and Percival; it has three parameters, $a_1$ and
$a_2$ representing the strength of the kicks in each degree of freedom,
and $\epsilon$, the coupling. The domain of existence of a torus in
$(a_1,a_2)$ is shown to be complete and logconvex for fixed $k =
\epsilon/a_1 a_2$. Explicit bounds on the domain for fixed $k$ are
obtained. Numerical results show that quadratic irrationals can be more
robust than the cubic irrational, ``the spiral mean."
\end{abstract}
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