Melnikov’s method in String Theory

Asano, Yuhma and Kyono, Hideki and Yoshida, Kentaroh (2016) Melnikov’s method in String Theory. Journal of High Energy Physics, 2016 (9). ISSN 1029-8479

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Official URL: http://doi.org/10.1007/JHEP09(2016)103

Abstract

Melnikov’s method is an analytical way to show the existence of classical chaos generated by a Smale horseshoe. It is a powerful technique, though its applicability is somewhat limited. In this paper, we present a solution of type IIB supergravity to which Melnikov’s method is applicable. This is a brane-wave type deformation of the AdS_5 × S^5 background. By employing two reduction ansätze, we study two types of coupled pendulum-oscillator systems. Then the Melnikov function is computed for each of the systems by following the standard way of Holmes and Marsden and the existence of chaos is shown analytically.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 05 Oct 2017 19:30
Last Modified: 26 Jul 2018 10:54
URI: http://dair.dias.ie/id/eprint/338

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