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, and TianAi Lu(陆天爱)1,2

1Jiangsu Key Laboratory of Meteorological Observation and Information Processing,
Nanjing University of Information Science & Technology, Nanjing 210044, China

2School of Electronic & Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China

3Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43210, USA

4Department of Physics, University of Wisconsin–Madison, Madison, WI 53706, USA

5College of Teacher Education, Xingtai University, Xingtai 054001, China

(Received 11 July 2017; revised manuscript received 22 August 2017; published online 20 October 2017)


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.

Ref: C. Li, W. Thio, J. C. Sprott, R. Zhang, and T. Lu, Chinese Physics B 26, 120501 (2017)

The complete paper is available in PDF format.

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