Melnikov's method in String Theory

Understand

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$_5\times$S$^5$ background.