CAJ | 학술논문

利用参数互异的Fitzhugh-Nagumo神经元构建了含耦合时滞的无标度神经元网络模型，通过数值模拟的方法，提出研究参数异质性和耦合时滞影响下神经元网络的共振动力学。结果发现，当耦合项中不含时滞时，适中的参数异质性能够使得神经元网络对外界弱周期信号的响应达到最优，即适中的参数异质性能够诱导神经元网络的共振响应，而且异质性诱导共振对耦合强度具有鲁棒性。更重要的是，耦合时滞对参数异质性作用下神经元网络的共振特性也有着显著性影响。当时滞约为信号周期的整数倍时，神经元网络能够周期性地出现共振现象，即适当的耦合时滞能够诱导神经元网络的多重共振，而且这种现象在异质性参数的适当范围内都能明显出现。
이용삼수호이적Fitzhugh-Nagumo신경원구건료함우합시체적무표도신경원망락모형，통과수치모의적방법，제출연구삼수이질성화우합시체영향하신경원망락적공진동역학。결과발현，당우합항중불함시체시，괄중적삼수이질성능구사득신경원망락대외계약주기신호적향응체도최우，즉괄중적삼수이질성능구유도신경원망락적공진향응，이차이질성유도공진대우합강도구유로봉성。경중요적시，우합시체대삼수이질성작용하신경원망락적공진특성야유착현저성영향。당시체약위신호주기적정수배시，신경원망락능구주기성지출현공진현상，즉괄당적우합시체능구유도신경원망락적다중공진，이차저충현상재이질성삼수적괄당범위내도능명현출현。
A model of scale-free neuronal networks,which consists of heterogeneous Fitzhugh-Nagumo neu-rons and time-delayed coupling,was constructed.Then,we explored the nontrivial effects of heterogeneity and time-delayed coupling on the resonance dynamics by numerical simulation in this model.When the delays in the coupling are absent,the result has shown that the response of the neuronal networks to an external subthreshold periodic signal is optimized at an intermediate heterogeneity,namely,an appropriate tuned level of heterogeneity can induce resonance in the neuronal networks.This phenomenon was also confirmed to be robust to the changes of the coupling strength.Most importantly,we find that the delays in the coupling have significant influences on the resonance dynamics.It is revealed that proper delays can induce multiple resonances in the neuronal net-works,which appears at each multiple of the oscillation period of the signal.Moreover,the performance of fine tuned delays in inducing multiple resonances can also be clearly observed when the heterogeneity is within an ap-propriate range.