• 文献检索
  • 文档翻译
  • 深度研究
  • 学术资讯
  • Suppr Zotero 插件Zotero 插件
  • 邀请有礼
  • 套餐&价格
  • 历史记录
应用&插件
Suppr Zotero 插件Zotero 插件浏览器插件Mac 客户端Windows 客户端微信小程序
定价
高级版会员购买积分包购买API积分包
服务
文献检索文档翻译深度研究API 文档MCP 服务
关于我们
关于 Suppr公司介绍联系我们用户协议隐私条款
关注我们

Suppr 超能文献

核心技术专利：CN118964589B侵权必究
粤ICP备2023148730 号-1Suppr @ 2026

文献检索

告别复杂PubMed语法，用中文像聊天一样搜索，搜遍4000万医学文献。AI智能推荐，让科研检索更轻松。

立即免费搜索

文件翻译

保留排版，准确专业，支持PDF/Word/PPT等文件格式，支持 12+语言互译。

免费翻译文档

深度研究

AI帮你快速写综述，25分钟生成高质量综述，智能提取关键信息，辅助科研写作。

立即免费体验

复杂利克塔克发电机模型的混沌控制与同步

Chaos Control and Synchronization of a Complex Rikitake Dynamo Model.

作者信息

Pang Wenkai, Wu Zekang, Xiao Yu, Jiang Cuimei

机构信息

School of Mathematics and Statistics, Qilu University of Technology (Shandong Academy of Sciences), Jinan 250353, China.

出版信息

Entropy (Basel). 2020 Jun 17;22(6):671. doi: 10.3390/e22060671.

DOI:10.3390/e22060671
PMID:33286443
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7517210/
Abstract

A novel chaotic system called complex Rikitake system is proposed. Dynamical properties, including symmetry, dissipation, stability of equilibria, Lyapunov exponents and bifurcation, are analyzed on the basis of theoretical analysis and numerical simulation. Further, based on feedback control method, the complex Rikitake system can be controlled to any equilibrium points. Additionally, this paper not only proves the existence of two types of synchronization schemes in the complex Rikitake system but also designs adaptive controllers to realize them. The proposed results are verified by numerical simulations.

摘要

提出了一种名为复利木系统的新型混沌系统。基于理论分析和数值模拟，分析了其动力学特性，包括对称性、耗散性、平衡点稳定性、李雅普诺夫指数和分岔。此外，基于反馈控制方法，可将复利木系统控制到任意平衡点。此外，本文不仅证明了复利木系统中两种同步方案的存在性，还设计了自适应控制器来实现它们。通过数值模拟验证了所提出的结果。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/c2abccb7891f/entropy-22-00671-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/910a45a895e4/entropy-22-00671-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/8cea5aa4f2b7/entropy-22-00671-g002a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/56ab1850cebc/entropy-22-00671-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/49896d8034b7/entropy-22-00671-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/31d8693d46ce/entropy-22-00671-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/10c9884ae72e/entropy-22-00671-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/b8a38ce875f8/entropy-22-00671-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/03a095b684e1/entropy-22-00671-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/04498ffc490d/entropy-22-00671-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/c2abccb7891f/entropy-22-00671-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/910a45a895e4/entropy-22-00671-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/8cea5aa4f2b7/entropy-22-00671-g002a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/56ab1850cebc/entropy-22-00671-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/49896d8034b7/entropy-22-00671-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/31d8693d46ce/entropy-22-00671-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/10c9884ae72e/entropy-22-00671-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/b8a38ce875f8/entropy-22-00671-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/03a095b684e1/entropy-22-00671-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/04498ffc490d/entropy-22-00671-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4f23/7517210/c2abccb7891f/entropy-22-00671-g010.jpg

相似文献

1
Chaos Control and Synchronization of a Complex Rikitake Dynamo Model.复杂利克塔克发电机模型的混沌控制与同步
Entropy (Basel). 2020 Jun 17;22(6):671. doi: 10.3390/e22060671.
2
Design and implementation of EP-based PID controller for chaos synchronization of Rikitake circuit systems.基于等效比例（EP）的PID控制器用于Rikitake电路系统混沌同步的设计与实现。
ISA Trans. 2017 Sep;70:260-268. doi: 10.1016/j.isatra.2017.04.016. Epub 2017 Jun 2.
3
Mixed-coexistence of periodic orbits and chaotic attractors in an inertial neural system with a nonmonotonic activation function.具有非单调激活函数的惯性神经网络中周期轨道和混沌吸引子的混合共存。
Math Biosci Eng. 2019 Jul 11;16(6):6406-6425. doi: 10.3934/mbe.2019320.
4
Dynamical Analysis of the Hindmarsh-Rose Neuron With Time Delays.时滞 Hindmarsh-Rose 神经元的动力学分析。
IEEE Trans Neural Netw Learn Syst. 2017 Aug;28(8):1953-1958. doi: 10.1109/TNNLS.2016.2557845. Epub 2016 May 25.
5
The large key space image encryption algorithm based on modulus synchronization between real and complex fractional-order dynamical systems.基于实分数阶与复分数阶动力系统模同步的大密钥空间图像加密算法。
Multimed Tools Appl. 2023;82(12):17801-17825. doi: 10.1007/s11042-022-14074-6. Epub 2022 Oct 18.
6
Feedback pinning control of collective behaviors aroused by epidemic spread on complex networks.复杂网络上流行病传播引发的集体行为的反馈钉扎控制
Chaos. 2019 Mar;29(3):033122. doi: 10.1063/1.5047653.
7
Generating one to four-wing hidden attractors in a novel 4D no-equilibrium chaotic system with extreme multistability.在具有极端多稳定性的新型4D非平衡混沌系统中生成一到四翼隐藏吸引子。
Chaos. 2018 Jan;28(1):013113. doi: 10.1063/1.5006214.
8
Study of Generalized Chaotic Synchronization Method Incorporating Error-Feedback Coefficients.结合误差反馈系数的广义混沌同步方法研究
Entropy (Basel). 2023 May 18;25(5):818. doi: 10.3390/e25050818.
9
Simple adaptive output-feedback lag-synchronization of multiple time-delayed chaotic systems.多个时滞混沌系统的简单自适应输出反馈滞后同步。
Chaos. 2012 Jun;22(2):023145. doi: 10.1063/1.4729140.
10
Robust Stabilization and Synchronization of a Novel Chaotic System with Input Saturation Constraints.具有输入饱和约束的新型混沌系统的鲁棒镇定与同步
Entropy (Basel). 2021 Aug 27;23(9):1110. doi: 10.3390/e23091110.

引用本文的文献

1
Nonlinear Dynamics and Entropy of Complex Systems with Hidden and Self-Excited Attractors II.具有隐藏和自激吸引子的复杂系统的非线性动力学与熵II。
Entropy (Basel). 2020 Dec 18;22(12):1428. doi: 10.3390/e22121428.

本文引用的文献

1
Synchronization in chaotic systems.混沌系统中的同步
Phys Rev Lett. 1990 Feb 19;64(8):821-824. doi: 10.1103/PhysRevLett.64.821.
2
Controlling chaos.控制混乱
Phys Rev Lett. 1990 Mar 12;64(11):1196-1199. doi: 10.1103/PhysRevLett.64.1196.