Screen chaotic motion by Shannon entropy in curved spacetimes
Abstract We find a novel characteristic for chaotic motion by introducing Shannon entropy for periodic orbits, quasiperiodic orbits, and chaotic orbits. We compare our approach with the previous methods including Poincaré section, Lyapunov exponent, fast Lyapunov indicator, recurrence plots (Rps), a...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14310-x |
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| _version_ | 1850140341839069184 |
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| author | Wenfu Cao Yang Huang Hongsheng Zhang |
| author_facet | Wenfu Cao Yang Huang Hongsheng Zhang |
| author_sort | Wenfu Cao |
| collection | DOAJ |
| description | Abstract We find a novel characteristic for chaotic motion by introducing Shannon entropy for periodic orbits, quasiperiodic orbits, and chaotic orbits. We compare our approach with the previous methods including Poincaré section, Lyapunov exponent, fast Lyapunov indicator, recurrence plots (Rps), and fast Fourier transform (FFT) for orbits around black holes immersed in magnetic fields, and show that they agree with each other quite well. The approach of Shannon entropy is intuitively clear, and theoretically reasonable since it becomes larger and larger from a periodic orbit to chaotic orbit. We demonstrate that Shannon entropy can be a powerful probe to distinguish between chaotic and regular orbits in different spacetimes, and reversely may lead to a new route to define the entropy for a single orbit in phase space, and to find more fundamental relations between thermodynamics and dynamics. Furthermore, we find that the fluctuations of entropy of chaotic orbits are stronger than those of order orbits. |
| format | Article |
| id | doaj-art-9c83a4c0be284232a5d4f8db1c15a28f |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-9c83a4c0be284232a5d4f8db1c15a28f2025-08-20T02:29:51ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511410.1140/epjc/s10052-025-14310-xScreen chaotic motion by Shannon entropy in curved spacetimesWenfu Cao0Yang Huang1Hongsheng Zhang2School of Physics and Technology, University of JinanSchool of Physics and Technology, University of JinanSchool of Physics and Technology, University of JinanAbstract We find a novel characteristic for chaotic motion by introducing Shannon entropy for periodic orbits, quasiperiodic orbits, and chaotic orbits. We compare our approach with the previous methods including Poincaré section, Lyapunov exponent, fast Lyapunov indicator, recurrence plots (Rps), and fast Fourier transform (FFT) for orbits around black holes immersed in magnetic fields, and show that they agree with each other quite well. The approach of Shannon entropy is intuitively clear, and theoretically reasonable since it becomes larger and larger from a periodic orbit to chaotic orbit. We demonstrate that Shannon entropy can be a powerful probe to distinguish between chaotic and regular orbits in different spacetimes, and reversely may lead to a new route to define the entropy for a single orbit in phase space, and to find more fundamental relations between thermodynamics and dynamics. Furthermore, we find that the fluctuations of entropy of chaotic orbits are stronger than those of order orbits.https://doi.org/10.1140/epjc/s10052-025-14310-x |
| spellingShingle | Wenfu Cao Yang Huang Hongsheng Zhang Screen chaotic motion by Shannon entropy in curved spacetimes European Physical Journal C: Particles and Fields |
| title | Screen chaotic motion by Shannon entropy in curved spacetimes |
| title_full | Screen chaotic motion by Shannon entropy in curved spacetimes |
| title_fullStr | Screen chaotic motion by Shannon entropy in curved spacetimes |
| title_full_unstemmed | Screen chaotic motion by Shannon entropy in curved spacetimes |
| title_short | Screen chaotic motion by Shannon entropy in curved spacetimes |
| title_sort | screen chaotic motion by shannon entropy in curved spacetimes |
| url | https://doi.org/10.1140/epjc/s10052-025-14310-x |
| work_keys_str_mv | AT wenfucao screenchaoticmotionbyshannonentropyincurvedspacetimes AT yanghuang screenchaoticmotionbyshannonentropyincurvedspacetimes AT hongshengzhang screenchaoticmotionbyshannonentropyincurvedspacetimes |