中国物理B ›› 2017, Vol. 26 ›› Issue (12): 120501-120501.doi: 10.1088/1674-1056/26/12/120501

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Linear synchronization and circuit implementation of chaotic system with complete amplitude control

Chun-Biao Li(李春彪), Wesley Joo-Chen Thio, Julien Clinton Sprott, Ruo-Xun Zhang(张若洵), Tian-Ai Lu(陆天爱)   

  1. 1. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, China;
    2. School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China;
    3. Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43210, USA;
    4. Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA;
    5. College of Teacher Education, Xingtai University, Xingtai 054001, China
  • 收稿日期:2017-07-11 修回日期:2017-08-22 出版日期:2017-12-05 发布日期:2017-12-05
  • 通讯作者: Chun-Biao Li E-mail:goontry@126.com,chunbiaolee@nuist.edu.cn
  • 基金资助:
    Project supported by the Startup Foundation for Introducing Talent of Nanjing University of Information Science & Technology, China (Grant No. 2016205), the Natural Science Foundation of the Jiangsu Higher Education Institutions of Jiangsu Province, China (Grant No. 16KJB120004), the Priority Academic Program Development of Jiangsu Higher Education Institutions, and the Natural Science Foundation of Hebei Province, China (Grant No. A2015108010).

Linear synchronization and circuit implementation of chaotic system with complete amplitude control

Chun-Biao Li(李春彪)1,2, Wesley Joo-Chen Thio3, Julien Clinton Sprott4, Ruo-Xun Zhang(张若洵)5, Tian-Ai Lu(陆天爱)1,2   

  1. 1. Jiangsu Key Laboratory of Meteorological Observation and Information Processing, Nanjing University of Information Science & Technology, Nanjing 210044, China;
    2. School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China;
    3. Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43210, USA;
    4. Department of Physics, University of Wisconsin-Madison, Madison, WI 53706, USA;
    5. College of Teacher Education, Xingtai University, Xingtai 054001, China
  • Received:2017-07-11 Revised:2017-08-22 Online:2017-12-05 Published:2017-12-05
  • Contact: Chun-Biao Li E-mail:goontry@126.com,chunbiaolee@nuist.edu.cn
  • Supported by:
    Project supported by the Startup Foundation for Introducing Talent of Nanjing University of Information Science & Technology, China (Grant No. 2016205), the Natural Science Foundation of the Jiangsu Higher Education Institutions of Jiangsu Province, China (Grant No. 16KJB120004), the Priority Academic Program Development of Jiangsu Higher Education Institutions, and the Natural Science Foundation of Hebei Province, China (Grant No. A2015108010).

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摘要： Although chaotic signals are considered to have great potential applications in radar and communication engineering, their broadband spectrum makes it difficult to design an applicable amplifier or an attenuator for amplitude conditioning. Moreover, the transformation between a unipolar signal and a bipolar signal is often required. In this paper, a more intelligent hardware implementation based on field programmable analog array (FPAA) is constructed for chaotic systems with complete amplitude control. Firstly, two chaotic systems with complete amplitude control are introduced, one of which has the property of offset boosting with total amplitude control, while the other has offset boosting and a parameter for partial control. Both cases can achieve complete amplitude control including amplitude rescaling and offset boosting. Secondly, linear synchronization is established based on the special structure of chaotic system. Finally, experimental circuits are constructed on an FPAA where the predicted amplitude control is realized through only two independent configurable analog module (CAM) gain values.

关键词: complete amplitude control, amplitude rescaling, offset boosting, linear synchronization

Abstract: Although chaotic signals are considered to have great potential applications in radar and communication engineering, their broadband spectrum makes it difficult to design an applicable amplifier or an attenuator for amplitude conditioning. Moreover, the transformation between a unipolar signal and a bipolar signal is often required. In this paper, a more intelligent hardware implementation based on field programmable analog array (FPAA) is constructed for chaotic systems with complete amplitude control. Firstly, two chaotic systems with complete amplitude control are introduced, one of which has the property of offset boosting with total amplitude control, while the other has offset boosting and a parameter for partial control. Both cases can achieve complete amplitude control including amplitude rescaling and offset boosting. Secondly, linear synchronization is established based on the special structure of chaotic system. Finally, experimental circuits are constructed on an FPAA where the predicted amplitude control is realized through only two independent configurable analog module (CAM) gain values.

Key words: complete amplitude control, amplitude rescaling, offset boosting, linear synchronization

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
05.45.Ac (Low-dimensional chaos) 05.45.Xt (Synchronization; coupled oscillators)