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复杂系统与复杂性科学 >

2026 , Vol. 23 >Issue 3: 97 - 103

DOI: https://doi.org/10.13306/j.1672-3813.2026.03.012

混沌动力学

一类忆阻混沌系统的动力学分析

  • 周雯静 ,
  • 张付臣 ,
  • 陈修素 ,
  • 陈松
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  • 重庆工商大学 a.数学与统计学院; b.统计智能计算与监测重庆市重点实验室,重庆 400067
周雯静(1997-),女,四川广安人,硕士,主要研究方向为混沌动力系统的分析与控制。

收稿日期: 2023-12-27

  修回日期: 2024-04-01

  网络出版日期: 2026-07-14

基金资助

重庆市自然科学基金面上项目(CSTB2022NSCQ-MSX1548);“成渝地区双城经济圈建设”科技创新专项项目(KJCX2020037);重庆工商大学研究生教育教学改革项目(24YJG307);重庆市教委科技项目(KJQN202100813,KJQN201800818);重庆市高等教育教学改革研究项目(253156)

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Dynamical Analysis of a Class of Memristor Chaotic Systems

  • ZHOU Wenjing ,
  • ZHANG Fuchen ,
  • CHEN Xiusu ,
  • CHEN Song
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  • a. School of Mathematics and Statistics; b. Chongqing Key Laboratory of Statistical Intelligent Computing and Monitoring, Chongqing Technology and Business University, Chongqing 400067, China

Received date: 2023-12-27

  Revised date: 2024-04-01

  Online published: 2026-07-14

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摘要

为探究电子和电路中的新混沌系统,提出了基于忆阻器元件的一类新四维混沌系统,研究了这类混沌系统的非线性动力学行为,发现这类系统具有耗散性质。同时,运用理论和数值分析方法从系统的混沌吸引子、庞加莱截面、李雅普诺夫指数、初值敏感性以及分岔图等方面,揭示了这种四维混沌系统的分岔和混沌现象。并且发现该系统对参数和初值变化敏感,且具有混沌流多稳态特性。

关键词： 超混沌系统; 忆阻器; 共存吸引子; 多稳态

本文引用格式

周雯静 , 张付臣 , 陈修素 , 陈松 . 一类忆阻混沌系统的动力学分析[J]. 复杂系统与复杂性科学, 2026 , 23(3) : 97 -103 . DOI: 10.13306/j.1672-3813.2026.03.012

Abstract

To find new chaotic systems in electronics and circuits, a new class of four-dimensional chaotic systems based on memristor elements are proposed in this paper. We study the nonlinear dynamical behaviors of this kind of chaotic system, and finds that this kind of system has dissipative property. At the same time, we reveal the bifurcation and chaos phenomenon of this four-dimensional chaotic system from the aspects of chaotic attractors, Poincare section, the Lyapunov exponent, initial value sensitivity and bifurcation diagram by using theoretical and numerical analysis methods. Moreover, we find that the system is sensitive to the parameters and the initial values. And the system has the characteristics of multistability of chaotic flows.

Key words： hyperchaotic system; memristors; coexisting attractor; multistability

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