Two-memristor-based maps with infinitely many hyperchaotic attractors

IF 5.3 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-02-01 DOI:10.1016/j.chaos.2024.115904

Iram Hussan , Manyu Zhao , Xu Zhang

引用次数: 0

Abstract

Since the memristor is a natural system with memory effects, the introduction of memristors into nonlinear systems brings very different dynamics compared with classical ones, and inspires the development of applications of memristors. In this article, a kind of maps via the combination of two memristors is studied. This class of memristive maps is three-dimensional (3D) and has the coexistence of infinitely many hyperchaotic attractors under certain conditions, where each attractor has two positive Lyapunov exponents.

查看原文本刊更多论文

具有无限多超混沌吸引子的基于双忆阻器的映射

由于忆阻器是一种具有记忆效应的自然系统，在非线性系统中引入忆阻器带来了与经典系统截然不同的动力学特性，激发了忆阻器应用的发展。本文研究了一种由两个忆阻器组合而成的映射。这类记忆映射是三维的，并且在一定条件下具有无限多个超混沌吸引子共存，其中每个吸引子有两个正Lyapunov指数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.