an:06747762
Zbl 1368.81131
Panigrahi, Kamal L.; Samal, Manoranjan
Chaos in classical string dynamics in \(\Hat{\gamma}\) deformed \(\mathrm{AdS}_5 \times T^{1,1}\)
EN
Phys. Lett., B 761, 475-481 (2016).
00368057
2016
j
81T30 34D08 70K55 34D45 70H08 37J40 83E30
Summary: We consider a circular string in \(\Hat{\gamma}\) deformed \(\mathrm{AdS}_5 \times T^{1, 1}\) which is localized in the center of \(\mathrm{AdS}_5\) and winds around the two circles of deformed \(T^{1, 1}\). 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 \(\Hat{\gamma}\). 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.