Melnikov's method in String Theory

被引：6

作者：

Asano, Yuhma ^{[1
]}

Kyono, Hideki ^{[2
]}

Yoshida, Kentaroh ^{[2
]}

机构：

[1] Dublin Inst Adv Studies, Sch Theoret Phys, 10 Burlington Rd, Dublin 4, Ireland

[2] Kyoto Univ, Dept Phys, Kitashirakawa Oiwake Cho, Kyoto 6068502, Japan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 09期

基金：

日本学术振兴会;

关键词：

AdS-CFT Correspondence; Gauge-gravity correspondence; Sigma Models; INTEGRABILITY; CHAOS; MECHANICS; SYSTEMS;

D O I：

10.1007/JHEP09(2016)103

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

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)xS(5) background. By employing two reduction ansatze, 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.

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页数：31

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