Affiliation:
1. Fachbereich Physik, Ernst-Moritz-Arndt- Universität, Domstraße, 10a, D-17489 Greifswald, Germany
Abstract
The classical scattering dynamics of two coupled Morse systems is investigated by analytical and numerical methods. If a McGehee type transformation and the Melnikov method are applied to the invariant manifolds of a nonhyperbolic fixed point at infinity, a proof of the appearance of chaotic scattering is obtained. Furthermore, we study the occurrence of hyperbolic and elliptic periodic orbits under perturbation using the subharmonic Melnikov approach. The analytical predictions regarding the range of the scattering function where chaotic scattering appears are compared with numerical results. Moreover, we investigate the threshold for channel transitions and discuss some mechanisms for this transition.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)
Cited by
5 articles.
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