论文标题
具有巨像的时间依赖性参数的预防和反应性网络防御动态在全球范围内具有吸引力
Preventive and Reactive Cyber Defense Dynamics with Ergodic Time-dependent Parameters Is Globally Attractive
论文作者
论文摘要
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防御互动。在本文中，我们推进了一种最新的特征，以表征一种网络安全动力学，即预防和反应性网络防御动力学，该动力学是高度非线性系统模型的家族。我们证明，当时间依赖性参数是ergodic时，其具有时间相关参数的通用形式的这种动力学在全球上具有吸引力，并且当时间依赖性参数具有更强的（几乎）周期性的属性时（几乎）周期性。我们的结果取代了最先进的结果，包括相同类型的动力学，但与时间无关的参数是全球收敛的。
Cybersecurity dynamics is a mathematical approach to modeling and analyzing cyber attack-defense 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 system models. We prove that this 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 that the same type of dynamics but with time-independent parameters is globally convergent.
