Chaos in Lifshitz Spacetimes
High Energy Physics - Theory
2014-06-24 v1 General Relativity and Quantum Cosmology
Chaotic Dynamics
Abstract
We investigate the chaotic behavior of a circular test string in the Lifshitz spacetimes considering the critical exponent as an external control parameter. It is demonstrated that two primary tools to observe chaos in this system are Poincar\'{e} section and Lyapunov exponent. Finally, the numerical result shows that if , the string dynamics is regular, while in a case slightly larger than , the dynamics can be irregular and chaotic.
Keywords
Cite
@article{arxiv.1406.5816,
title = {Chaos in Lifshitz Spacetimes},
author = {Xiaojian Bai and Junde Chen and Bum-Hoon Lee and Taeyoon Moon},
journal= {arXiv preprint arXiv:1406.5816},
year = {2014}
}
Comments
1+11 pages, 7 figures