2014/06/23 by Bai, Xiaojian, Chen, Junde, Lee, Bum-Hoon +1 · 1 citation
#Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.1406.5816
We investigate the chaotic behavior of a circular test string in the Lifshitz spacetimes considering the critical exponent z as an external control parameter. It is demonstrated that two primary tools to observe chaos in this system are Poincaré section and Lyapunov exponent. Finally, the numerical result shows that if z=1, the string dynamics is regular, while in a case slightly larger than z=1, the dynamics can be irregular and chaotic.