Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks

doi:10.1088/1674-1056/ad24d5

中国物理B ›› 2024, Vol. 33 ›› Issue (6): 60202-060202.doi: 10.1088/1674-1056/ad24d5

Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks

Xi-Xi Huang(黄习习)¹, Min Xiao(肖敏)^1,†, Leszek Rutkowski², Hai-Bo Bao(包海波)³, Xia Huang(黄霞)³, and Jin-De Cao(曹进德)⁴

1 College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
2 Systems Research Institute of the Polish Academy of Sciences, 01-447 Warsaw, Poland;
3 College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;
4 School of Mathematics, Southeast University, Nanjing 210096, China

收稿日期:2023-11-09 修回日期:2024-01-19 接受日期:2024-02-01 出版日期:2024-06-18 发布日期:2024-06-18
通讯作者: Min Xiao E-mail:candymanxm2003@aliyun.com
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 62073172) and the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20221329).

Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks

Xi-Xi Huang(黄习习)¹, Min Xiao(肖敏)^1,†, Leszek Rutkowski², Hai-Bo Bao(包海波)³, Xia Huang(黄霞)³, and Jin-De Cao(曹进德)⁴

1 College of Automation & College of Artificial Intelligence, Nanjing University of Posts and Telecommunications, Nanjing 210023, China;
2 Systems Research Institute of the Polish Academy of Sciences, 01-447 Warsaw, Poland;
3 College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China;
4 School of Mathematics, Southeast University, Nanjing 210096, China

Received:2023-11-09 Revised:2024-01-19 Accepted:2024-02-01 Online:2024-06-18 Published:2024-06-18
Contact: Min Xiao E-mail:candymanxm2003@aliyun.com
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 62073172) and the Natural Science Foundation of Jiangsu Province of China (Grant No. BK20221329).

摘要/Abstract

摘要： A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks (MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation and state feedback to effectively manipulate the spatiotemporal dynamics of malware propagation. The hybrid control can not only suppress the Turing instability caused by diffusion factor but can also adjust the occurrence of Hopf bifurcation induced by time delay. Numerical simulation results show that the hybrid control strategy can efficiently manipulate the transmission dynamics to achieve our expected desired properties, thus reducing the harm of malware propagation to MWSNs.

关键词: mobile wireless sensor networks, reaction-diffusion, Hopf bifurcation, hybrid control

Abstract: A dynamical model is constructed to depict the spatial-temporal evolution of malware in mobile wireless sensor networks (MWSNs). Based on such a model, we design a hybrid control scheme combining parameter perturbation and state feedback to effectively manipulate the spatiotemporal dynamics of malware propagation. The hybrid control can not only suppress the Turing instability caused by diffusion factor but can also adjust the occurrence of Hopf bifurcation induced by time delay. Numerical simulation results show that the hybrid control strategy can efficiently manipulate the transmission dynamics to achieve our expected desired properties, thus reducing the harm of malware propagation to MWSNs.

Key words: mobile wireless sensor networks, reaction-diffusion, Hopf bifurcation, hybrid control

中图分类号: (Partial differential equations)

02.30.Jr

02.60.Cb (Numerical simulation; solution of equations)

Xi-Xi Huang(黄习习), Min Xiao(肖敏), Leszek Rutkowski, Hai-Bo Bao(包海波), Xia Huang(黄霞), and Jin-De Cao(曹进德). Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks[J]. 中国物理B, 2024, 33(6): 60202-060202.

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Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks

Mechanism analysis of regulating Turing instability and Hopf bifurcation of malware propagation in mobile wireless sensor networks

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