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
收藏
页数：31
相关论文
共 50 条
  • [41] High order Melnikov method: Pendulums
    Oksasoglu, Ali
    Wang, Qiudong
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 312 : 176 - 208
  • [42] Closed string S-matrix elements in open string field theory
    Garousi, MR
    Maktabdaran, GR
    JOURNAL OF HIGH ENERGY PHYSICS, 2005, (03):
  • [43] Lienard systems, limit cycles, and Melnikov theory
    Phys Rev E., 1 (340):
  • [44] Lienard systems, limit cycles, and Melnikov theory
    Sanjuan, MAF
    PHYSICAL REVIEW E, 1998, 57 (01): : 340 - 344
  • [45] Study on predicting surf-riding threshold based on Melnikov's method
    Chu, Jilong
    Lu, Jiang
    Han, Yang
    Gu, Min
    Ship Building of China, 2015, 56 : 89 - 96
  • [46] Melnikov's Method for Ship Motions without the Constraint of Small Linear Damping
    Wu, Wan
    McCue, Leigh
    IUTAM SYMPOSIUM ON FLUID-STRUCTURE INTERACTION IN OCEAN ENGINEERING, 2008, 8 : 297 - 306
  • [47] The Melnikov theory for subharmonics and their bifurcations in forced oscillations
    Yagasaki, K
    SIAM JOURNAL ON APPLIED MATHEMATICS, 1996, 56 (06) : 1720 - 1765
  • [48] A practical use of the Melnikov homoclinic method
    Castilho, Cesar
    Marchesin, Marcelo
    JOURNAL OF MATHEMATICAL PHYSICS, 2009, 50 (11)
  • [49] HIGHER-ORDER MELNIKOV METHOD
    郭友中
    刘曾荣
    江霞妹
    韩志斌
    AppliedMathematicsandMechanics(EnglishEdition), 1991, (01) : 21 - 32
  • [50] Melnikov?s method for controlled stochastic oscillations of a rocking block with fractional derivative
    Kovaleva, Agnessa
    PROBABILISTIC ENGINEERING MECHANICS, 2023, 72
12345