中国物理B ›› 2018, Vol. 27 ›› Issue (4): 40502-040502.doi: 10.1088/1674-1056/27/4/040502

• TOPIC REVIEW—Thermal and thermoelectric properties of nano materials • 上一篇    下一篇

A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors

Yan-Xia Tang(唐妍霞), Abdul Jalil M Khalaf, Karthikeyan Rajagopal, Viet-Thanh Pham, Sajad Jafari, Ye Tian(田野)   

  1. 1. College of Science, Hebei North University, Zhangjiakou 075000, China;
    2. Engineering Technology Research Center of Population Health Informatization in Hebei Province, Zhangjiakou 075000, China;
    3. Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq;
    4. Department of Electrical and Communication Engineering, the PNG University of Technology, Lae;
    5. Centre for Nonlinear Dynamics, Defense University, Ethiopia;
    6. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;
    7. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
  • 收稿日期:2017-09-09 修回日期:2017-12-07 出版日期:2018-04-05 发布日期:2018-04-05
  • 通讯作者: Viet-Thanh Pham E-mail:phamvietthanh@tdt.edu.vn

A new nonlinear oscillator with infinite number of coexisting hidden and self-excited attractors

Yan-Xia Tang(唐妍霞)1,2, Abdul Jalil M Khalaf3, Karthikeyan Rajagopal4,5, Viet-Thanh Pham6, Sajad Jafari7, Ye Tian(田野)1,2   

  1. 1. College of Science, Hebei North University, Zhangjiakou 075000, China;
    2. Engineering Technology Research Center of Population Health Informatization in Hebei Province, Zhangjiakou 075000, China;
    3. Department of Mathematics, Faculty of Computer Science and Mathematics, University of Kufa, Najaf, Iraq;
    4. Department of Electrical and Communication Engineering, the PNG University of Technology, Lae;
    5. Centre for Nonlinear Dynamics, Defense University, Ethiopia;
    6. Modeling Evolutionary Algorithms Simulation and Artificial Intelligence, Faculty of Electrical & Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam;
    7. Biomedical Engineering Department, Amirkabir University of Technology, Tehran 15875-4413, Iran
  • Received:2017-09-09 Revised:2017-12-07 Online:2018-04-05 Published:2018-04-05
  • Contact: Viet-Thanh Pham E-mail:phamvietthanh@tdt.edu.vn

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摘要：

In this paper, we introduce a new two-dimensional nonlinear oscillator with an infinite number of coexisting limit cycles. These limit cycles form a layer-by-layer structure which is very unusual. Forty percent of these limit cycles are self-excited attractors while sixty percent of them are hidden attractors. Changing this new system to its forced version, we introduce a new chaotic system with an infinite number of coexisting strange attractors. We implement this system through field programmable gate arrays.

关键词: chaotic oscillators, multistability, hidden attractors

Abstract:

In this paper, we introduce a new two-dimensional nonlinear oscillator with an infinite number of coexisting limit cycles. These limit cycles form a layer-by-layer structure which is very unusual. Forty percent of these limit cycles are self-excited attractors while sixty percent of them are hidden attractors. Changing this new system to its forced version, we introduce a new chaotic system with an infinite number of coexisting strange attractors. We implement this system through field programmable gate arrays.

Key words: chaotic oscillators, multistability, hidden attractors

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Ac (Low-dimensional chaos) 05.45.Pq (Numerical simulations of chaotic systems)