Li Kunshuai, Wang Qiao, Hu Chenyang, Liang Bo, Jian Canling, Zheng Quan, Tian Zean, Zhao Jianchuan
Institute of Advanced Optoelectronic Materials and Technology, College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China.
College of Mathematics and Big Data, Guizhou Education University, Guiyang 550018, China.
Chaos. 2024 Aug 1;34(8). doi: 10.1063/5.0187297.
The proposal of discrete memristors has made memristive chaotic maps based on them an important research topic. In this study, a new two-dimensional chaotic map without fixed points is constructed, and numerical simulation results display its rich dynamical behaviors. The analysis reveals the map's center inversion symmetry and Lyapunov exponent controller. The map exhibits complex dynamical behaviors, including memristor initial-boosting and single-parameter-offset boosting. Embedding the absolute value function within the memristor results in the emergence of localized boosting-free regions. Moreover, a class of multicavity transients is captured that greatly enhances the system's complexity. Ultimately, this map is implemented on the STM32 platform, demonstrating its practical applicability in potential practical application scenarios.
离散忆阻器的提出使得基于它们的忆阻混沌映射成为一个重要的研究课题。在本研究中，构造了一种新的无不动点的二维混沌映射，数值模拟结果展示了其丰富的动力学行为。分析揭示了该映射的中心反演对称性和李雅普诺夫指数控制器。该映射表现出复杂的动力学行为，包括忆阻器初始增强和单参数偏移增强。在忆阻器中嵌入绝对值函数会导致出现局部无增强区域。此外，捕获了一类多腔瞬态，极大地增强了系统的复杂性。最终，该映射在STM32平台上得以实现，证明了其在潜在实际应用场景中的实际适用性。
