Preventive and Reactive Cyber Defense Dynamics With Ergodic Time-Dependent Parameters is Globally Attractive
Preventive and Reactive Cyber Defense Dynamics With Ergodic Time-Dependent Parameters is Globally Attractive
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DOI：
10.1109/tnse.2021.3098443
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发表时间：
2020-01
影响因子：
6.6
通讯作者：
Yujuan Han;Wenlian Lu;Shouhuai Xu
中科院分区：
文献类型：
--
作者：
Yujuan Han;Wenlian Lu;Shouhuai Xu
网络安全动力学是一种数学方法，用于建模和分析网络中的网络攻击者-防御者交互。在本文中，我们提出了一种网络安全动力学，称为预防性和反应性网络防御动力学，这是一个家庭的高度非线性动力系统模型的特征的最新技术。我们证明了当含时参数为遍历时，这类动力学的一般形式是全局吸引的;当含时参数具有更强的（几乎）周期性时，这类动力学是（几乎）周期的.我们的结果取代了国家的最先进的，包括最近的结果，在时间无关的参数的特殊情况下，相同的家庭的动力学是全局收敛的。本文代表了理论网络安全建模的网络科学方法的重大进步，因为与文献结果相比，它提出了迄今为止最弱的假设。
Cybersecurity dynamics is a mathematical approach to modeling and analyzing cyber attacker-defender interactions in networks. In this paper, we advance the state-of-the-art in characterizing one kind of cybersecurity dynamics, known as preventive and reactive cyber defense dynamics, which is a family of highly nonlinear dynamical system models. We prove that this family of dynamics in its general form with time-dependent parameters is globally attractive when the time-dependent parameters are ergodic, and is (almost) periodic when the time-dependent parameters have the stronger properties of being (almost) periodic. Our results supersede the state-of-the-art ones, including the recent result that the same family of dynamics in the special case of time-independent parameters is globally convergent. This paper represents a significant advance in the network science approach to theoretical cybersecurity modeling because it makes the so-far weakest assumptions when compared with the literature results.