Time-reversed Shannon entropy distinguishes chaotic from regular orbits in Kerr and Schwarzschild-Melvin spacetimes by quantifying forward-backward asymmetry in probability distributions.
Chaos from the ring string in Gauss-Bonnet black hole in $AdS_5$ space
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abstract
By the Poincare sections, the dynamical behaviors of the ring string in the AdS-Gauss-Bonnet (AdS-GB) black hole are studied. A threshold value of the Gauss-Bonnet (GB) parameter $\lambda$ are found by the numerical method, below which the behavior of this dynamical system is no-chaotic and above which the behavior becomes gradually chaotic. The chaotic behavior becomes stronger with the increases of GB parameter. It is different from the case in the AdS-Schwarzschild black hole, which is weakly chaotic. Furthermore, we confirm our findings by the Fast Lyapunov indicators.
fields
gr-qc 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
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Time-reversed Shannon entropy as a chaos indicator for non-integrable systems
Time-reversed Shannon entropy distinguishes chaotic from regular orbits in Kerr and Schwarzschild-Melvin spacetimes by quantifying forward-backward asymmetry in probability distributions.