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一种具有稳定平衡点的新型混沌系统:熵分析、参数估计与电路设计。

A New Chaotic System with Stable Equilibrium: Entropy Analysis, Parameter Estimation, and Circuit Design.

作者信息

Kapitaniak Tomasz, Mohammadi S Alireza, Mekhilef Saad, Alsaadi Fawaz E, Hayat Tasawar, Pham Viet-Thanh

机构信息

Division of Dynamics, Lodz University of Technology, Stefanowskiego 1/15, 90-924 Lodz, Poland.

Power Electronics and Renewable Energy Research Laboratory (PEARL), Department of Electrical Engineering, Faculty of Engineering, University of Malaya, Kuala Lumpur 50603, Malaysia.

出版信息

Entropy (Basel). 2018 Sep 5;20(9):670. doi: 10.3390/e20090670.

DOI:10.3390/e20090670
PMID:33265759
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7513194/
Abstract

In this paper, we introduce a new, three-dimensional chaotic system with one stable equilibrium. This system is a multistable dynamic system in which the strange attractor is hidden. We investigate its dynamic properties through equilibrium analysis, a bifurcation diagram and Lyapunov exponents. Such multistable systems are important in engineering. We perform an entropy analysis, parameter estimation and circuit design using this new system to show its feasibility and ability to be used in engineering applications.

摘要

在本文中,我们介绍了一种具有一个稳定平衡点的新型三维混沌系统。该系统是一个隐藏着奇异吸引子的多稳态动态系统。我们通过平衡点分析、分岔图和李雅普诺夫指数来研究其动态特性。这种多稳态系统在工程中很重要。我们使用这个新系统进行熵分析、参数估计和电路设计,以展示其在工程应用中的可行性和应用能力。

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Chimera states in a multilayer network of coupled and uncoupled neurons.耦合和非耦合神经元多层网络中的嵌合态。
Chaos. 2017 Jul;27(7):073109. doi: 10.1063/1.4993836.
3
The relationship between node degree and dissipation rate in networks of diffusively coupled oscillators and its significance for pancreatic beta cells.扩散耦合振荡器网络中节点度与耗散率之间的关系及其对胰腺β细胞的意义。
Entropy (Basel). 2022 Apr 19;24(5):572. doi: 10.3390/e24050572.
4
Modeling and Analysis of a Three-Terminal-Memristor-Based Conservative Chaotic System.基于三端忆阻器的保守混沌系统的建模与分析
Entropy (Basel). 2021 Jan 4;23(1):71. doi: 10.3390/e23010071.
5
A Note on the Reproducibility of Chaos Simulation.关于混沌模拟可重复性的一则注释
Entropy (Basel). 2020 Aug 29;22(9):953. doi: 10.3390/e22090953.
6
Adaptive Synchronization Strategy between Two Autonomous Dissipative Chaotic Systems Using Fractional-Order Mittag-Leffler Stability.基于分数阶米塔格-莱夫勒稳定性的两个自治耗散混沌系统的自适应同步策略
Entropy (Basel). 2019 Apr 10;21(4):383. doi: 10.3390/e21040383.
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Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors.具有隐藏吸引子和自激吸引子的复杂系统的非线性动力学与熵
Entropy (Basel). 2019 Apr 5;21(4):370. doi: 10.3390/e21040370.
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Dynamics and Entropy Analysis for a New 4-D Hyperchaotic System with Coexisting Hidden Attractors.具有共存隐藏吸引子的新型四维超混沌系统的动力学与熵分析
Entropy (Basel). 2019 Mar 15;21(3):287. doi: 10.3390/e21030287.
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