Heteroclinic orbits and transport in a perturbed integrable Suris map

Details Heteroclinic orbits and transport in a perturbed integrable Suris map Heteroclinic orbits and transport in a perturbed integrable Suris map

1999-10-07

arxiv.org/abs/chao-dyn/9910010v1

Nonlinear Sciences

Chaotic Dynamics

laTex file with 6 eps figures

Scientific paper

10.1016/S0375-9601(00)00264-4

Explicit formulae are given for the saddle connection of an integrable family of standard maps studied by Y. Suris. 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.

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