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
2 Pith papers cite this work, alongside 36 external citations. Polarity classification is still indexing.
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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 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Numerical chaos indicators applied to the Schwarzschild-Bertotti-Robinson-Bonnor-Melvin family show that chaos occurs without swirling and that electromagnetic field strengths and directions tightly restrict bound orbits.
citing papers explorer
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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.
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Chaotic motion of particles around a Schwarzschild black hole in a swirling electromagnetic background
Numerical chaos indicators applied to the Schwarzschild-Bertotti-Robinson-Bonnor-Melvin family show that chaos occurs without swirling and that electromagnetic field strengths and directions tightly restrict bound orbits.