Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic Excitation
In this paper, the chaotic behavior and subharmonic bifurcation in a dynamical model for charged dilation-AdS black holes are investigated in extended phase space using analytical and numerical methods. An analytical expression for the chaotic critical value at the disturbance amplitude is obtained...
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MDPI AG
2025-05-01
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| author | Qinrui Chen Liangqiang Zhou Fengxian An |
| author_facet | Qinrui Chen Liangqiang Zhou Fengxian An |
| author_sort | Qinrui Chen |
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| description | In this paper, the chaotic behavior and subharmonic bifurcation in a dynamical model for charged dilation-AdS black holes are investigated in extended phase space using analytical and numerical methods. An analytical expression for the chaotic critical value at the disturbance amplitude is obtained using the Melnikov method, revealing the monotonicity of the threshold values for chaos with charge and frequency, and the coupling parameters between the expansion field and the Maxwell field are studied. It is shown that chaos can be controlled through the system parameters. Meanwhile, an analytical expression for the critical value of the bifurcation of subharmonic orbits at disturbance amplitudes is acquired using the subharmonic Melnikov method. The relationship between the threshold value and the vibration frequency and the order of the subharmonic orbit is studied. This demonstrates that the system undergoes chaotic motion via infinite odd-order subharmonic bifurcations. Finally, numerical simulations are used to verify the analytical results. |
| format | Article |
| id | doaj-art-d7c9b373c6c54c7eab3d62b848ac6b1d |
| institution | Kabale University |
| issn | 2624-8174 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | MDPI AG |
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| series | Physics |
| spelling | doaj-art-d7c9b373c6c54c7eab3d62b848ac6b1d2025-08-20T03:27:41ZengMDPI AGPhysics2624-81742025-05-01721810.3390/physics7020018Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic ExcitationQinrui Chen0Liangqiang Zhou1Fengxian An2School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaSchool of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaKey Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles, Nanjing University of Aeronautics and Astronautics (NUAA), Ministry of Industry and Information Technology (MIIT), Nanjing 211106, ChinaIn this paper, the chaotic behavior and subharmonic bifurcation in a dynamical model for charged dilation-AdS black holes are investigated in extended phase space using analytical and numerical methods. An analytical expression for the chaotic critical value at the disturbance amplitude is obtained using the Melnikov method, revealing the monotonicity of the threshold values for chaos with charge and frequency, and the coupling parameters between the expansion field and the Maxwell field are studied. It is shown that chaos can be controlled through the system parameters. Meanwhile, an analytical expression for the critical value of the bifurcation of subharmonic orbits at disturbance amplitudes is acquired using the subharmonic Melnikov method. The relationship between the threshold value and the vibration frequency and the order of the subharmonic orbit is studied. This demonstrates that the system undergoes chaotic motion via infinite odd-order subharmonic bifurcations. Finally, numerical simulations are used to verify the analytical results.https://www.mdpi.com/2624-8174/7/2/18chaossubharmonic bifurcationsMelnikov methodcharged dilation-AdS black hole |
| spellingShingle | Qinrui Chen Liangqiang Zhou Fengxian An Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic Excitation Physics chaos subharmonic bifurcations Melnikov method charged dilation-AdS black hole |
| title | Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic Excitation |
| title_full | Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic Excitation |
| title_fullStr | Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic Excitation |
| title_full_unstemmed | Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic Excitation |
| title_short | Chaotic Dynamics and Subharmonic Bifurcation of Charged Dilation-AdS Black Hole in Extended Phase Space Subject to Harmonic Excitation |
| title_sort | chaotic dynamics and subharmonic bifurcation of charged dilation ads black hole in extended phase space subject to harmonic excitation |
| topic | chaos subharmonic bifurcations Melnikov method charged dilation-AdS black hole |
| url | https://www.mdpi.com/2624-8174/7/2/18 |
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