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.

引用

页数：31

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