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Melnikov's method in String Theory
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DOI：10.1007/JHEP09(2016)103.png)
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Abstract
En 中文
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.
Keywords:
AdS-CFT Correspondence
Gauge-gravity correspondence
Sigma Models
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