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Chaos in Lifshitz Spacetimes

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arxiv 1406.5816 v1 pith:3TDHEXNJ submitted 2014-06-23 hep-th gr-qcnlin.CD

Xiaojian Bai , Junde Chen , Bum-Hoon Lee , Taeyoon Moon This is my paper · ORCID
classification hep-thgr-qcnlin.CD
keywords chaoschaoticdynamicsexponentlifshitzspacetimesstringbehavior
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD

    hep-th 2024-11 conditional novelty 5.0 of 10

    In a holographic QCD model, chaotic string dynamics appear only for unstable configurations near the horizon, and magnetic field and chemical potential affect chaos oppositely in string and Einstein frames.

  2. Chaotic behaviors of particles around the black hole with an anisotropic matter immersed in a magnetic field

    gr-qc 2026-07 unverdicted novelty 4.0 of 10

    Exact black hole solution with anisotropic matter and magnetic field shows the matter parameter reduces local chaos (Lyapunov exponent) while the magnetic field drives qualitative shifts in global chaos (Poincaré sections).

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