Melnikov's method in String Theory

Access this Article

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 AdS5×S5 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.

Journal

  • Journal of High Energy Physics

    Journal of High Energy Physics (2016), 2016-09-16

    Springer Verlag

Codes

  • NII Article ID (NAID)
    120005853262
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1029-8479
  • Data Source
    IR 
Page Top