中国物理B ›› 2021, Vol. 30 ›› Issue (12): 120511-120511.doi: 10.1088/1674-1056/ac1e1f

所属专题： SPECIAL TOPIC — Interdisciplinary physics: Complex network dynamics and emerging technologies

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Embedding any desired number of coexisting attractors in memristive system

Chunbiao Li(李春彪)1,2,†, Ran Wang(王然)1,2, Xu Ma(马旭)1,2, Yicheng Jiang(姜易成)1,2, and Zuohua Liu(刘作华)3   

  1. 1 Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology(CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, China;
    2 School of Artificial Intelligence, Nanjing University of Information Science & Technology, Nanjing 210044, China;
    3 State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China
  • 收稿日期:2021-07-10 修回日期:2021-08-05 接受日期:2021-08-17 出版日期:2021-11-15 发布日期:2021-11-25
  • 通讯作者: Chunbiao Li E-mail:goontry@126.com, chunbiaolee@nuist.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61871230 and 51974045) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20181410).

Embedding any desired number of coexisting attractors in memristive system

Chunbiao Li(李春彪)1,2,†, Ran Wang(王然)1,2, Xu Ma(马旭)1,2, Yicheng Jiang(姜易成)1,2, and Zuohua Liu(刘作华)3   

  1. 1 Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology(CICAEET), Nanjing University of Information Science & Technology, Nanjing 210044, China;
    2 School of Artificial Intelligence, Nanjing University of Information Science & Technology, Nanjing 210044, China;
    3 State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China
  • Received:2021-07-10 Revised:2021-08-05 Accepted:2021-08-17 Online:2021-11-15 Published:2021-11-25
  • Contact: Chunbiao Li E-mail:goontry@126.com, chunbiaolee@nuist.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 61871230 and 51974045) and the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20181410).

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摘要： A simple variable-boostable system is selected as the structure for hosting an arbitrarily defined memristor for chaos producing. The derived three-dimensional (3-D) memristive chaotic system shows its distinct property of offset, amplitude and frequency control. Owing its merits any desired number of coexisting attractors are embedded by means of attractor doubling and self-reproducing based on function-oriented offset boosting. In this circumstance two classes of control gates are found:one determines the number of coexisting attractors resorting to the independent offset controller while the other is the initial condition selecting any one of them. Circuit simulation gives a consistent output with theoretically predicted embedded attractors.

关键词: offset boosting, attractor doubling, attractor self-reproducing, memristive system

Abstract: A simple variable-boostable system is selected as the structure for hosting an arbitrarily defined memristor for chaos producing. The derived three-dimensional (3-D) memristive chaotic system shows its distinct property of offset, amplitude and frequency control. Owing its merits any desired number of coexisting attractors are embedded by means of attractor doubling and self-reproducing based on function-oriented offset boosting. In this circumstance two classes of control gates are found:one determines the number of coexisting attractors resorting to the independent offset controller while the other is the initial condition selecting any one of them. Circuit simulation gives a consistent output with theoretically predicted embedded attractors.

Key words: offset boosting, attractor doubling, attractor self-reproducing, memristive system

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)