一类具有忆阻器的Lorenz型混沌系统余维二分岔及无穷远处动力学分析

黄俊; 陈玉明

doi:10.21656/1000-0887.410023

一类具有忆阻器的Lorenz型混沌系统余维二分岔及无穷远处动力学分析

doi: 10.21656/1000-0887.410023

黄俊,
陈玉明

广东技术师范大学数学与系统科学学院, 广州 510665

基金项目: 国家自然科学基金(11701104);广东省普通高校特色创新项目(2016KTSCX076)

详细信息

作者简介:
黄俊(1994—)，男，硕士生(E-mail: supersix233@qq.com);陈玉明(1987—)，男,副教授，博士(通讯作者. E-mail: blkhpz@126.com).

中图分类号: O175
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- 文章访问数: 1578
- HTML全文浏览量: 389
- PDF下载量: 518
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出版历程
- 收稿日期: 2020-01-10
- 修回日期: 2020-10-13
- 刊出日期: 2020-11-01

Codimension-2 Bifurcation Dynamics and Infinity Analysis of a Class of Lorenz Chaos Systems With Memristors

School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou 510665, P.R.China

Funds: The National Natural Science Foundation of China(11701104)

摘要

摘要: 基于经典的Lorenz系统，通过反馈控制的方式得到了一类具有忆阻器的三维混沌系统，对该系统分别从局部高余维分岔及无穷远全局动力学行为这两个方面进行了研究.首先，基于平均理论，对原点平衡点处的zero-Hopf分岔行为进行了分析；其次，基于中心流形理论，对原点平衡点处的double-zero分岔进行了分析；最后，根据Poincaré紧致化方法，对该系统在无穷远处的动力学行为进行了研究.
- Lorenz系统 /
- zero-Hopf分岔 /
- double-zero分岔 /
- 无穷远动力学
Abstract: Based on the classical Lorenz system, a class of 3D memristive chaotic systems were obtained through feedback control, and the local high codimensional bifurcation and the infinite global dynamic behavior of the system were studied. Firstly, according to the average theory, the zeroHopf bifurcation behavior at the origin equilibrium point was analyzed. Secondly, with the center manifold theory, the doublezero bifurcation at the origin of the system was investigated. Finally, according to the Poincaré compactification method, the dynamics at infinity of the system was discussed.
- Lorenz system /
- zero-Hopf bifurcation /
- double-zero bifurcation /
- dynamics at infinity

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参考文献(14)

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文章访问数: 1578
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PDF下载量: 518
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一类具有忆阻器的Lorenz型混沌系统余维二分岔及无穷远处动力学分析

doi: 10.21656/1000-0887.410023

作者简介:
黄俊(1994—)，男，硕士生(E-mail: supersix233@qq.com);陈玉明(1987—)，男,副教授，博士(通讯作者. E-mail: blkhpz@126.com).

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Codimension-2 Bifurcation Dynamics and Infinity Analysis of a Class of Lorenz Chaos Systems With Memristors

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留言板

一类具有忆阻器的Lorenz型混沌系统余维二分岔及无穷远处动力学分析

doi: 10.21656/1000-0887.410023

作者简介: 黄俊(1994—)，男，硕士生(E-mail: supersix233@qq.com);陈玉明(1987—)，男,副教授，博士(通讯作者. E-mail: blkhpz@126.com).

计量

出版历程

Codimension-2 Bifurcation Dynamics and Infinity Analysis of a Class of Lorenz Chaos Systems With Memristors

计量

出版历程

目录

作者简介:
黄俊(1994—)，男，硕士生(E-mail: supersix233@qq.com);陈玉明(1987—)，男,副教授，博士(通讯作者. E-mail: blkhpz@126.com).