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| Synchronization Transition of Bursting Oscillations in a Half-center Oscillator Based on Time-delay Regulation |
| JI Fengchao1, SONG Zigen1,2
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1. College of Information Technology, Shanghai Ocean University, Shanghai 201306, China;
2. School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, China |
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Abstract To further investigate the regulatory role of coupled time-delay on the modes of discharge activity in a half-center oscillator (HCO), based on the Hindmash-Rose (HR) neuronal model, the DHCO (delayed HCO) model with bursting behavior is constructed. By calculating phase difference between clusters of the bursting, dynamical evolution of the DHCO nervous system is studied with time-delay regulation. The DHCO system presents in-phase and anti-phase bursting oscillations in different parameter spaces. The synchronization transition of the bursting is determined under time-delay controlling. The results show that the DHCO model, regarded as the functional unit of the CPG (Central pattern generator) system can generate and switch multiple locomotion gaits by adjusting time-delay.
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Received: 02 August 2023
Published: 09 October 2025
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