A Novel Memristive Chaotic System with Hidden Attractors and a Line of Equilibria

IF 1.4 4区工程技术 Q2 ENGINEERING, MULTIDISCIPLINARY

Scientia Iranica Pub Date : 2023-08-16 DOI:10.24200/sci.2023.61440.7307

Zhen Wang, Sridevi Sriram, Huaigu Tian, Karthikeyan Rajagopal

引用次数: 0

Abstract

This paper introduces a newly designed four-dimensional memristive chaotic system. The novel oscillator is chaotic regarding the findings that the system’s dynamic has one positive Lyapunov exponent. Also, due to the results of the equilibrium points analysis, it is shown that the oscillator has a line of equilibria, so the attractors of this system are hidden. Moreover, the study of energy dissipation of this system, power spectrum, and Poincaré sections are conducted to investigate the system's dynamics. The complex features of this system are investigated with the aid of bifurcation diagrams, Lyapunov exponents spectra, approximate entropy, and basin of attraction.

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一种具有隐吸引子和平衡线的记忆混沌系统

本文介绍了一种新设计的四维记忆混沌系统。从系统动力学有一个正李雅普诺夫指数的发现来看，新振荡器是混沌的。同时，根据平衡点分析的结果，表明该振子存在一条平衡点线，因此该系统的吸引子是隐藏的。此外，还对该系统的能量耗散、功率谱和poincarcars截面进行了研究，探讨了系统的动力学特性。利用分岔图、李雅普诺夫指数谱、近似熵和引力盆地等方法研究了该系统的复杂特征。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Scientia Iranica 工程技术-工程：综合

CiteScore

2.90

自引率

7.10%

发文量

审稿时长

2 months

期刊介绍： The objectives of Scientia Iranica are two-fold. The first is to provide a forum for the presentation of original works by scientists and engineers from around the world. The second is to open an effective channel to enhance the level of communication between scientists and engineers and the exchange of state-of-the-art research and ideas. The scope of the journal is broad and multidisciplinary in technical sciences and engineering. It encompasses theoretical and experimental research. Specific areas include but not limited to chemistry, chemical engineering, civil engineering, control and computer engineering, electrical engineering, material, manufacturing and industrial management, mathematics, mechanical engineering, nuclear engineering, petroleum engineering, physics, nanotechnology.