Heteroclinic orbits and Flux in a perturbed integrable Suris map

Abstract Explicit formulae are given for the saddle connection of an integrable family of standard maps studied by Y. Suris [Func. Anal. Appl. 23 (1989) 74–76]. When the map is perturbed this connection is destroyed, and we use a discrete version of Melnikov's method to give an explicit formula for the first order approximation of the area of the lobes of the resultant turnstile. These results are compared with computations of the lobe area.