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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