Chaos in Lifshitz Spacetimes
Abstract
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 Poincar\'e 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.
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