Cyber-attacks on the optimal velocity and its variation by bifurcation analyses
In this paper, we proposed a car-following model considering the attack on the optimal velocity and its variation. To study the dynamical behaviors of the car-following model, the stability condition of the system is obtained via the linear stability analyses. Bifurcation analyses confirmed the exis...
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| Published in | The European physical journal. B, Condensed matter physics Vol. 96; no. 12 |
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| Main Authors | , , , , , |
| Format | Journal Article |
| Language | English |
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Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2023
Springer Nature B.V |
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| Abstract | In this paper, we proposed a car-following model considering the attack on the optimal velocity and its variation. To study the dynamical behaviors of the car-following model, the stability condition of the system is obtained via the linear stability analyses. Bifurcation analyses confirmed the existence of Hopf bifurcation of traffic system. We make use of the instability of the system after Hopf bifurcation to develop the network attack strategy. The main method is to use the definite integral stability (DIS) method to find the attack parameter of the minimum number of unstable eigenvalues in the characteristic equation under the condition of network attack, so as to promote the instability of the traffic system and realize the network attack on the traffic system. By determining the minimum stable delay interval of the system, the network attack controller can be designed. The effectiveness of the network attack on the optimization velocity and the variation of the optimization velocity are verified by numerical simulation. The results show that the network attack with such minimal attack parameter cost will cause the traffic system to become unstable and lead to traffic congestion.
Graphical Abstract |
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| AbstractList | In this paper, we proposed a car-following model considering the attack on the optimal velocity and its variation. To study the dynamical behaviors of the car-following model, the stability condition of the system is obtained via the linear stability analyses. Bifurcation analyses confirmed the existence of Hopf bifurcation of traffic system. We make use of the instability of the system after Hopf bifurcation to develop the network attack strategy. The main method is to use the definite integral stability (DIS) method to find the attack parameter of the minimum number of unstable eigenvalues in the characteristic equation under the condition of network attack, so as to promote the instability of the traffic system and realize the network attack on the traffic system. By determining the minimum stable delay interval of the system, the network attack controller can be designed. The effectiveness of the network attack on the optimization velocity and the variation of the optimization velocity are verified by numerical simulation. The results show that the network attack with such minimal attack parameter cost will cause the traffic system to become unstable and lead to traffic congestion.
Graphical Abstract In this paper, we proposed a car-following model considering the attack on the optimal velocity and its variation. To study the dynamical behaviors of the car-following model, the stability condition of the system is obtained via the linear stability analyses. Bifurcation analyses confirmed the existence of Hopf bifurcation of traffic system. We make use of the instability of the system after Hopf bifurcation to develop the network attack strategy. The main method is to use the definite integral stability (DIS) method to find the attack parameter of the minimum number of unstable eigenvalues in the characteristic equation under the condition of network attack, so as to promote the instability of the traffic system and realize the network attack on the traffic system. By determining the minimum stable delay interval of the system, the network attack controller can be designed. The effectiveness of the network attack on the optimization velocity and the variation of the optimization velocity are verified by numerical simulation. The results show that the network attack with such minimal attack parameter cost will cause the traffic system to become unstable and lead to traffic congestion. |
| ArticleNumber | 166 |
| Author | Zhang, Kun Luo, Hao-Jie Cen, Bing-Ling Xue, Yu Zhang, Qiang Tang, Yuan |
| Author_xml | – sequence: 1 givenname: Kun surname: Zhang fullname: Zhang, Kun organization: Institute of Physical Science and Technology, Guangxi University – sequence: 2 givenname: Yu surname: Xue fullname: Xue, Yu email: yuxuegxu@gxu.edu.cn organization: Institute of Physical Science and Technology, Guangxi University – sequence: 3 givenname: Hao-Jie surname: Luo fullname: Luo, Hao-Jie organization: Institute of Physical Science and Technology, Guangxi University – sequence: 4 givenname: Qiang surname: Zhang fullname: Zhang, Qiang organization: Institute of Physical Science and Technology, Guangxi University – sequence: 5 givenname: Yuan surname: Tang fullname: Tang, Yuan organization: Institute of Physical Science and Technology, Guangxi University – sequence: 6 givenname: Bing-Ling surname: Cen fullname: Cen, Bing-Ling organization: Institute of Physical Science and Technology, Guangxi University |
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| Copyright_xml | – notice: The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
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| Snippet | In this paper, we proposed a car-following model considering the attack on the optimal velocity and its variation. To study the dynamical behaviors of the... |
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| SubjectTerms | Car following Complex Systems Condensed Matter Physics Control systems design Cybersecurity Dynamic stability Eigenvalues Eigenvectors Fluid- and Aerodynamics Hopf bifurcation Mathematical models Optimization Parameters Physics Physics and Astronomy Regular Article - Statistical and Nonlinear Physics Solid State Physics Stability analysis Traffic congestion Velocity |
| Title | Cyber-attacks on the optimal velocity and its variation by bifurcation analyses |
| URI | https://link.springer.com/article/10.1140/epjb/s10051-023-00641-9 https://www.proquest.com/docview/2904215605 |
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