中国物理B ›› 2018, Vol. 27 ›› Issue (1): 18201-018201.doi: 10.1088/1674-1056/27/1/018201

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇    下一篇

A novel multi-scroll chaotic generator: Analysis, simulation, and implementation

Gui-Tao Zhang(张桂韬), Fa-Qiang Wang(王发强)   

  1. State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • 收稿日期:2017-08-06 修回日期:2017-10-16 出版日期:2018-01-05 发布日期:2018-01-05
  • 通讯作者: Fa-Qiang Wang E-mail:faqwang@mail.xjtu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51377124 and 51521065), the Foundation for the Author of National Excellent Doctoral Dissertation, China (Grant No. 201337), and the New Star of Youth Science and Technology of Shaanxi Province, China (Grant No. 2016KJXX-40).

A novel multi-scroll chaotic generator: Analysis, simulation, and implementation

Gui-Tao Zhang(张桂韬), Fa-Qiang Wang(王发强)   

  1. State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China
  • Received:2017-08-06 Revised:2017-10-16 Online:2018-01-05 Published:2018-01-05
  • Contact: Fa-Qiang Wang E-mail:faqwang@mail.xjtu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 51377124 and 51521065), the Foundation for the Author of National Excellent Doctoral Dissertation, China (Grant No. 201337), and the New Star of Youth Science and Technology of Shaanxi Province, China (Grant No. 2016KJXX-40).

摘要: Based on a new three-dimensional autonomous linear system and designing a specific form of saturated function series and a sign function with two variables of system, which are employed to increase saddle-focus equilibrium points with index 2, a novel multi-scroll chaotic system is proposed and its typical dynamical characteristics including bifurcation diagram, Poincare map, and the stability of equilibrium points are analyzed. The hardware circuit is designed and the experimental results are presented for confirmation.

关键词: multi-scroll chaotic system, linear system, hardware circuit

Abstract: Based on a new three-dimensional autonomous linear system and designing a specific form of saturated function series and a sign function with two variables of system, which are employed to increase saddle-focus equilibrium points with index 2, a novel multi-scroll chaotic system is proposed and its typical dynamical characteristics including bifurcation diagram, Poincare map, and the stability of equilibrium points are analyzed. The hardware circuit is designed and the experimental results are presented for confirmation.

Key words: multi-scroll chaotic system, linear system, hardware circuit

中图分类号:  (Oscillations, chaos, and bifurcations)

  • 82.40.Bj