Chaos in classical string dynamics in γˆ deformed AdS5 × T1,1

We consider a circular string in γˆ deformed AdS5×T1,1 which is localized in the center of AdS5 and winds around the two circles of deformed T1,1. We observe chaos in the phase space of the circular string implying non-integrability of string dynamics. The chaotic behaviour in phase space is controlled by energy as well as the deforming parameter γˆ. We further show that the point like object exhibits non-chaotic behaviour. Finally we calculate the Lyapunov exponent for both extended and point like object in support of our first result.