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Symmetric Strange Attractors: A Review of Symmetry and Conditional Symmetry

点击次数:发表时间:2024-03-05

  • DOI码:10.3390/sym15081564
  • 发表刊物:Symmetry
  • 摘要:A comprehensive review of symmetry and conditional symmetry is made from the core conception of symmetry and conditional symmetry. For a dynamical system, the structure of symmetry means its robustness against the polarity change of some of the system variables. Symmetric systems typically show symmetrical dynamics, and even when the symmetry is broken, symmetric pairs of coexisting attractors are born, annotating the symmetry in another way. The polarity balance can be recovered through combinations of the polarity reversal of system variables, and furthermore, it can also be restored by the offset boosting of some of the system variables if the variables lead to the polarity reversal of their functions. In this case, conditional symmetry is constructed, giving a chance for a dynamical system outputting coexisting attractors. Symmetric strange attractors typically represent the flexible polarity reversal of some of the system variables, which brings more alternatives of chaotic signals and more convenience for chaos application. Symmetric and conditionally symmetric coexisting attractors can also be found in memristive systems and circuits. Therefore, symmetric chaotic systems and systems with conditional symmetry provide sufficient system options for chaos-based applications
  • 全部作者:李志南,姜易成,雷腾飞,王雄
  • 第一作者:李春彪
  • 论文类型:期刊论文
  • 通讯作者:李春彪
  • 是否译文:否
  • 收录刊物:SCI
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论文成果

个人信息

  • 性别:男
  • 职称:教授
  • 所在单位:人工智能学院(未来技术学院、人工智能产业学院)

曾获荣誉:

  • 2023-12-01  曾获荣誉当选: 江苏省工程师学会科学技术奖 提名奖
  • 2023-01-02  曾获荣誉当选: 2022年江苏省通信学会科学技术奖一等奖
  • 2018-08-01  曾获荣誉当选: 2018年 江苏省教育教学与研究成果奖(研究类)三等奖(高校自然科学研究类)
  • 2018  曾获荣誉当选: 江苏省教育教学与研究成果奖(研究类)三等奖
  • 2015  曾获荣誉当选: 领跑者5000
  • 2013  曾获荣誉当选: 第八届春晖杯大赛优胜奖
  • 2014  曾获荣誉当选: 国家级教学成果奖
  • 2011  曾获荣誉当选: 省级教学成果奖

其他联系方式

  • 邮编:210044
  • 通讯/办公地址:宁六路219号南京信息工程大学人工智能学院
  • 办公室电话:025-58235339
  • 移动电话:13912993098
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