电子科技大学学报2018，Vol.47Issue(3)：402-409,8.DOI:10.3969/j.issn.1001-0548.2018.03.013
忆阻超混沌Lü系统的隐藏动力学特性研究
Hidden Dynamical Characteristics in Memristor-Based Hyperchaotic Lü System
摘要
Abstract
By improving the classical Lü system and introducing a generalized memristor, a novel memristor-based modified Lü system is proposed. The most important feature of this memristive system is that there does not exist any equilibrium point, thereby leading to that the forming dynamical behaviors are all hidden. By utilizing theoretical analyses and nonlinear system analysis methods of Lyapunov exponent spectrum and bifurcation diagram,the complex hidden dynamical behaviors, such as period, quasi-period, chaos, hyperchaos, and so on, with the variation of memristor gain for the memristive system are studied. In addition, when different initial conditions are used, the memristive system exhibits coexisting multiple attractors' phenomena of three different limit cycles as well as chaotic attractor and limit cycle. The hardware circuit is made and the experimental results verify the theoretical analysis and numerical simulations, and demonstrate that the proposed memristive Lü system has very abundant and complex hidden dynamical characteristics.关键词
共存多吸引子/隐藏吸引子/超混沌/忆阻Lü系统Key words
coexisting multiple attractors/hidden attractor/hyperchaos/memristor-based Lü system分类
信息技术与安全科学引用本文复制引用
乔晓华,徐毅,孙玉霞,武花干..忆阻超混沌Lü系统的隐藏动力学特性研究[J].电子科技大学学报,2018,47(3):402-409,8.基金项目
国家自然科学基金(51607013) （51607013）
江苏省自然科学基金(BK2012583) （BK2012583）
