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A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation

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  • Faqiang Wang
  • Yufang Xiao

Abstract

Based on the step function and signum function, a chaotic system which can generate multiscroll chaotic attractors with arrangement of saddle-shapes is proposed and the stability of its equilibrium points is analyzed. The under mechanism for the generation of multiscroll chaotic attractors and the reason for the arrangement of saddle shapes and being symmetric about y -axis are presented, and the rule for controlling the number of scroll chaotic attractors with saddle shapes is designed. Based on the core chips including Altera Cyclone IV EP4CE10F17C8 Field Programmable Gate Array and Digital to Analog Converter chip AD9767, the peripheral circuit and the Verilog Hardware Description Language program for realization of the proposed multiscroll chaotic system is constructed and some experimental results are presented for confirmation. The research result shows that the occupation of multipliers and Phase-Locked Loops in Field Programmable Gate Array is zero.

Suggested Citation

  • Faqiang Wang & Yufang Xiao, 2020. "A Multiscroll Chaotic Attractors with Arrangement of Saddle-Shapes and Its Field Programmable Gate Array (FPGA) Implementation," Complexity, Hindawi, vol. 2020, pages 1-8, July.
    • Handle: RePEc:hin:complx:9169242
    DOI: 10.1155/2020/9169242
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    Cited by:

    1. Azam, Anam & Aqeel, Muhammad & Sunny, Danish Ali, 2022. "Segmented disc dynamo with symmetric multidirectional patterns of multiscroll chaotic attractors," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 200(C), pages 108-127.

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