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藕合Rulkov神经元的复杂动力学行为OA北大核心CSTPCD

Complex Dynamic Behavior of Coupled Rulkov Neurons

中文摘要英文摘要

基于混沌的Rulkov神经元模型,考虑2个相同神经元在电耦合下的情形,通过数值计算对耦合Rulkov神经元模型进行双参数分岔分析,并借助单参数分岔图以及最大Lyapunov指数图进一步验证其分岔模式.结果表明:耦合Rulkov神经元模型呈倍周期分岔道路、拟周期道路以及阵发性道路3条典型的混沌路径;该模型具有伴有混沌的加周期分岔现象;随着耦合强度的增加,耦合Rulkov模型呈更复杂的动力学行为.

Based on the chaotic Rulkov neuron model,the two-parameter bifurcation analysis of the coupled Rulkov neuron model was carried out through numerical calculations by considering the situation of two identical neurons under electrical coupling,and the bifurcation mode was further validated by using the one-parameter bifurcation diagrams and the maximum Lyapunov exponent diagrams.The results show that the coupled Rulkov neuron model exhibits three classic chaotic paths:period-doubling bifurcation path,quasi-periodic bifurcation path,and intermittency path.The model presents a period-adding bifurcation phenomena accompanied by chaos.The coupled Rulkov neurons model exhibits more complex dynamical behavior as the coupling strength increases.

薛睿;张莉;安新磊

兰州交通大学数理学院,兰州 730070兰州工业学院基础科学部,兰州 730050

物理学

Rulkov神经元电耦合双参数分岔分析最大Lyapunov指数混沌道路

Rulkov neuronelectrical couplingtwo-parameter bifurcation analysisthe maximum Lyapunov exponentchaotic path

《吉林大学学报(理学版)》 2024 (004)

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甘肃省自然科学基金重点项目(批准号:23JRRA861)和兰州工业学院青年科技创新项目(批准号:2021KJ-08).

10.13413/j.cnki.jdxblxb.2023382

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