2026 Vol.9 Apr.N02

• Title: Circuit implementation of amplitude envelope synchronization for coupled Stuart-Landau oscillators
• Name: Haitao LI
• Company: Jiangxi University of Science and Technology,Jiangxi Ganzhou 341000,China
• Abstract:

  To address the hardware replication needs for nonlinear oscillator synchronization behavior in neuromorphic computing, this paper focuses on the amplitude envelope synchronization phenomenon of coupled Stuart-Landau (SL) oscillators and proposes and implements a dual-path hardware solution consisting of "analog circuits + FPGA digital circuits". Based on the SL oscillator dynamics equation, through precise mapping of theoretical parameters and circuit parameters, the core hardware design is completed: the analog circuit adopts a modular architecture, constructing nonlinear operations and coupling networks based on operational amplifiers and analog multipliers, and achieving flexible control of coupling strength () and natural frequency () through adjustable resistors; the FPGA digital circuit utilizes the DSP Builder library to construct a model and converts it into VHDL language. After being compiled through Quartus II software, it is finally burned onto the FPGA development board. It can accurately replicate dynamic behaviors such as phase drift, lag synchronization, and phase locking. This circuit solution combines the real-time performance of analog circuits with the reconfigurability of digital circuits, providing a highly reliable and reusable design paradigm for hardware simulation of inter-brain functional connectivity in neuromorphic engineering, with significant engineering application value.

  
  

• Keyword: Stuart-Landau oscillator；Amplitude envelope synchronization;Analog circuit design;FPGA implementation.
• DOI: 10.12250/jpciams2026090406
• Citation form: Haitao LI.Circuit implementation of amplitude envelope synchronization for coupled Stuart-Landau oscillators[J]. Computer Informatization and Mechanical System,2026,Vol.9,pp.

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