期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

一个新的非线性系统的隐藏动力学分析

  • 兰州交通大学 数理学院, 甘肃 兰州 730070
  • DOI: 10.13763/j.cnki.jhebnu.nse.202102007

Hidden Dynamic Analysis of a New Nonlinear System

摘要/Abstract

摘要:

忆阻器是一种新的电路元件,为非线性电路的设计提供了全新的发展空间.以忆阻电路为基础,建立了一个新的四维动态系统. 为了获得更丰富的动力学行为,在该系统中引入了2个可调参数,从而形成了一个具有各种隐藏吸引子的统一非线性系统. 通过改变可调参数,找到4种不同类型的隐藏吸引子和自激吸引子. 通过MATLB数值仿真,利用相图和Lyapunov指数谱等工具,研究了四维混沌系统的动力学行为及其隐藏振荡行为. 新的统一混沌系统有助于研究隐藏吸引子的特性、动态系统中动力学行为的复杂性.

Abstract:

Memristor is a new circuit element, which provides a new development for the design of nonlinear circuits. Based on memristor circuit, a new 4-D dynamic system is established. In order to obtain more abundant dynamic behaviors, two parameters are introduced into the system to form a unified chaotic system with various hidden attractors. By changing the parameters, four different types of hidden attractors and self-excited attractor can be found. This unified chaotic system is helpful for us to understand the characteristics of hidden attractors and study the complexity of dynamic behaviors in dynamic systems.

参考文献 8

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