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Circuit Implementation Synchronization between Two Modified Fractional-Order Lorenz Chaotic Systems via a Linear Resistor and Fractional-Order Capacitor in Parallel Coupling

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  • Juan Liu
  • Xuefeng Cheng
  • Ping Zhou

Abstract

In this study, a modified fractional-order Lorenz chaotic system is proposed, and the chaotic attractors are obtained. Meanwhile, we construct one electronic circuit to realize the modified fractional-order Lorenz chaotic system. Most importantly, using a linear resistor and a fractional-order capacitor in parallel coupling, we suggested one chaos synchronization scheme for this modified fractional-order Lorenz chaotic system. The electronic circuit of chaos synchronization for modified fractional-order Lorenz chaotic has been given. The simulation results verify that synchronization scheme is viable.

Suggested Citation

  • Juan Liu & Xuefeng Cheng & Ping Zhou, 2021. "Circuit Implementation Synchronization between Two Modified Fractional-Order Lorenz Chaotic Systems via a Linear Resistor and Fractional-Order Capacitor in Parallel Coupling," Mathematical Problems in Engineering, Hindawi, vol. 2021, pages 1-8, August.
    • Handle: RePEc:hin:jnlmpe:6771261
    DOI: 10.1155/2021/6771261
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