湖北民族大学学报（自然科学版）2026，Vol.44Issue(1)：110-115,6.DOI:10.13501/j.cnki.42-1908/n.2026.03.017
具有多气泡串联结构的忆阻混沌系统动力学分析及其实现
Dynamical Analysis and Implementation of Memristive Chaotic System with Multi-bubble Tandem Structure
摘要
Abstract
To address the issue of an insufficient number of"bubbles"in the research on antimonotonicity in memristive chaotic systems,a four-dimensional memristive chaotic system with a multi-bubble cascade structure was proposed.A hyperbolic tangent memristor was introduced as a feedback element into a three-dimensional continuous autonomous system.The system was analyzed through numerical simulations and dynamical analysis tools such as bifurcation diagrams,and was also implemented on a field programmable gate array(FPGA).The results showed that as parameters varied,multiple periodic"bubbles"evolved into a Feigenbaum tree structure.Characteristics such as constant Lyapunov exponents,extreme multistability,and coexisting antimonotonicity were observed,demonstrating rich complex dynamical behaviors.Furthermore,the Matlab numerical simulation results were consistent with the FPGA hardware implementation results,confirming the physical realizability of the system.This study provided a new approach for investigating complex dynamical behaviors in memristive chaotic systems.关键词
忆阻混沌系统/费根鲍姆树/共存反单调性/超级多稳态/FPGAKey words
memristive chaotic system/Feigenbaum tree/coexisting antimonotonicity/extreme multistability/FPGA分类
数理科学引用本文复制引用
李子涵,刘嵩,张博,王平黎,罗敏..具有多气泡串联结构的忆阻混沌系统动力学分析及其实现[J].湖北民族大学学报（自然科学版）,2026,44(1):110-115,6.基金项目
中国高校产学研创新基金项目(2024IT118). （2024IT118）
