- 96-77 Lomeli, H.E. and Meiss, J.D.
- Heteroclinic orbits and transport in a perturbed Integrable Standard map
Mar 14, 96
(auto. generated ps),
of related papers
Abstract. Explicit formulae are given for the saddle connection for an integrable
family of standard maps studied by Suris. A generalization of Melnikov's
method shows that, upon perturbation, this connection is destroyed. We give
explicit formula for the first order approximation of the area of the lobes
of the resultant turnstile. It is shown that the lobe area is exponentially
small in the limit when the Suris map approaches the trivial twist map.