Chaos in Lifshitz spacetimes
Chaos in Lifshitz spacetimes
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DOI：
10.3938/jkps.68.639
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发表时间：
2014-06
影响因子：
0.6
通讯作者：
X. Bai;Bum-hoon Lee;Junde Chen;Taeyoon Moon
中科院分区：
文献类型：
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作者：
X. Bai;Bum-hoon Lee;Junde Chen;Taeyoon Moon
将临界指数z作为外部控制参数，研究了Lifshitz时空中圆形测试串的混沌行为。我们证明了观察该系统中混沌的两个主要工具是Poincaré截面和Lyapunov指数。数值结果表明，当z=1时，弦动力学是规则的，而当z=1时，弦动力学可能是不规则的和混沌的，这意味着打破Lorentz对称性的时空各向异性可能导致系统混沌。
We investigate the chaotic behavior of a circular test string in the Lifshitz spacetimes by considering the critical exponent z as an external control parameter. We demonstrate that two primary tools to observe chaos in this system are the Poincaré section and the 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, which implies that the space time anisotropy, which breaks Lorentz symmetry, may cause the system to be chaotic.