92-137 E.Bollt , J.Meiss
Breakup of Invariant Tori for the Four Dimensional Semi-Standard Map (57K, LaTeX, AMS fonts) Oct 16, 92
Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

Abstract. \begin{abstract} We compute the domain of existence of two-dimensional invariant tori with fixed frequency vectors for a four-dimensional, complex, symplectic map. The map is a generalization of the semi-standard 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 log-convex 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}

Files: 92-137.src( desc , 92-137.tex )