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 control...

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Main Authors: Kamal L. Panigrahi, Manoranjan Samal
Format: Article
Language:English
Published: Elsevier 2016-10-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269316304415
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author Kamal L. Panigrahi
Manoranjan Samal
author_facet Kamal L. Panigrahi
Manoranjan Samal
author_sort Kamal L. Panigrahi
collection DOAJ
description 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.
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spelling doaj.art-1520526b6eb44da6ae1d6af92950b5582022-12-21T18:46:30ZengElsevierPhysics Letters B0370-26931873-24452016-10-01761C47548110.1016/j.physletb.2016.08.021Chaos in classical string dynamics in γˆ deformed AdS5×T1,1Kamal L. Panigrahi0Manoranjan Samal1Department of Physics, Indian Institute of Technology Kharagpur, Kharagpur-721 302, IndiaDepartment of Physics, Indian Institute of Technology Kharagpur, Kharagpur-721 302, IndiaWe 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.http://www.sciencedirect.com/science/article/pii/S0370269316304415
spellingShingle Kamal L. Panigrahi
Manoranjan Samal
Chaos in classical string dynamics in γˆ deformed AdS5×T1,1
Physics Letters B
title Chaos in classical string dynamics in γˆ deformed AdS5×T1,1
title_full Chaos in classical string dynamics in γˆ deformed AdS5×T1,1
title_fullStr Chaos in classical string dynamics in γˆ deformed AdS5×T1,1
title_full_unstemmed Chaos in classical string dynamics in γˆ deformed AdS5×T1,1
title_short Chaos in classical string dynamics in γˆ deformed AdS5×T1,1
title_sort chaos in classical string dynamics in γ deformed ads5 t1 1
url http://www.sciencedirect.com/science/article/pii/S0370269316304415
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