Dynamical Analysis and Implementation of Memristive Chaotic System with Multi-bubble Tandem Structure
LI Zihan
LIU Song
ZHANG Bo
WANG Pingli
LUO Min
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.
Keywords：memristive chaotic systemFeigenbaum treecoexisting antimonotonicityextreme multistabilityFPGA
Publication Date：2026-03-20
Online Publishing Date：2026-03-26(First online date of this platform, not the publication date of the document)
Pages：6( 110-115 )