• Acta Physica Sinica
  • Vol. 68, Issue 19, 198502-1 (2019)
Nan Shao1、*, Sheng-Bing Zhang1, and Shu-Yuan Shao2
Author Affiliations
  • 1School of Computer Science and Engineering, Northwestern Polytechnical University, Xi’an 710072, China
  • 2School of Electronics and Information, Northwestern Polytechnical University, Xi’an 710072, China
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    DOI: 10.7498/aps.68.20190808 Cite this Article
    Nan Shao, Sheng-Bing Zhang, Shu-Yuan Shao. Analysis of memristor model with learning-experience behavior[J]. Acta Physica Sinica, 2019, 68(19): 198502-1 Copy Citation Text show less
    Illustration of “learning-forgetting-relearning” experiment: (a) The applied voltage in each period of this experiment; (b)−(d) the change of memristor memory during the first learning process, forgetting process, and the memory recovery period of relearning process, respectively.NL, tf, and NR stand for the number of applied pulses in the first learning process, the forgetting time, and the number of applied pulses in the memory recovery period of the relearning process, respectively.“学习-遗忘-再学习”实验过程的示意说明 (a) 实验各个阶段施加在忆阻器上的电压; (b)−(d) 依次为初次学习过程、遗忘过程、再次学习的记忆恢复过程中忆阻器记忆的变化情况, 横坐标中NL, tf, NR分别表示初次学习的脉冲数量、遗忘过程的时长、再次学习的记忆恢复过程所经历的脉冲数量
    Fig. 1. Illustration of “learning-forgetting-relearning” experiment: (a) The applied voltage in each period of this experiment; (b)−(d) the change of memristor memory during the first learning process, forgetting process, and the memory recovery period of relearning process, respectively.NL, tf, and NR stand for the number of applied pulses in the first learning process, the forgetting time, and the number of applied pulses in the memory recovery period of the relearning process, respectively. “学习-遗忘-再学习”实验过程的示意说明 (a) 实验各个阶段施加在忆阻器上的电压; (b)−(d) 依次为初次学习过程、遗忘过程、再次学习的记忆恢复过程中忆阻器记忆的变化情况, 横坐标中NL, tf, NR分别表示初次学习的脉冲数量、遗忘过程的时长、再次学习的记忆恢复过程所经历的脉冲数量
    Curves of (a) Fw and (b) Tw with respect to V, b+ = b– = 35.(a) Fw和 (b) Tw关于V的曲线, b+ = b– = 35
    Fig. 2. Curves of (a) Fw and (b) Tw with respect to V, b+ = b = 35. (a) Fw和 (b) Tw关于V的曲线, b+ = b = 35
    Variation of w within a pulse period when wmin and τw0 take different values: (a) Variation of w when τw0 = 0.2 s and wmin takes different values; (b) variation of w when wmin = 0.2 and τw0 takes different values.wmin和τw0的大小对状态变量w在一个脉冲周期内的变化情况的影响 (a) τw0 = 0.2 s, wmin取值为不同常数时w的变化情况; (b) wmin = 0.2, τw0取值为不同常数时w的变化情况
    Fig. 3. Variation of w within a pulse period when wmin and τw0 take different values: (a) Variation of w when τw0 = 0.2 s and wmin takes different values; (b) variation of w when wmin = 0.2 and τw0 takes different values. wminτw0的大小对状态变量w在一个脉冲周期内的变化情况的影响 (a) τw0 = 0.2 s, wmin取值为不同常数时w的变化情况; (b) wmin = 0.2, τw0取值为不同常数时w的变化情况
    Influence of the initial value of τw0 on the variation of w in “learning-forgetting- relearning” process. The maximum value of w during the first learning period is marked by a dashed line: (a) The initial value of τw0 is 0.01 s; (b) the initial value of τw0 is 1 s.状态变量τw0的初值大小对于“学习-遗忘-再学习”过程中w的变化的影响, 虚线标明初次学习阶段w所达到的最大值(a) τw0初值为0.01 s; (b) τw0初值为1 s
    Fig. 4. Influence of the initial value of τw0 on the variation of w in “learning-forgetting- relearning” process. The maximum value of w during the first learning period is marked by a dashed line: (a) The initial value of τw0 is 0.01 s; (b) the initial value of τw0 is 1 s. 状态变量τw0的初值大小对于“学习-遗忘-再学习”过程中w的变化的影响, 虚线标明初次学习阶段w所达到的最大值(a) τw0初值为0.01 s; (b) τw0初值为1 s
    Simulations of “learning-forgetting-relearning” process when τw+ = 0.06 s, τmax+ = 0.05 s, and τmin+ takes different values: (a) τmin+ = 0.5 s; (b) τmin+ = 0.2 s; (c) τmin+ = 0.1 s. The maximum value of w during the first learning period is marked by a dashed line.τw+ = 0.06 s, τmax+ = 0.05 s, τmin+取不同值时的“学习-遗忘-再学习”实验仿真结果 (a) τmin+ = 0.5 s; (b) τmin+ = 0.2 s; (c) τmin+ = 0.1 s. 虚线标出w在初次学习阶段所达到的最大值
    Fig. 5. Simulations of “learning-forgetting-relearning” process when τw+ = 0.06 s, τmax+ = 0.05 s, and τmin+ takes different values: (a) τmin+ = 0.5 s; (b) τmin+ = 0.2 s; (c) τmin+ = 0.1 s. The maximum value of w during the first learning period is marked by a dashed line. τw+ = 0.06 s, τmax+ = 0.05 s, τmin+取不同值时的“学习-遗忘-再学习”实验仿真结果 (a) τmin+ = 0.5 s; (b) τmin+ = 0.2 s; (c) τmin+ = 0.1 s. 虚线标出w在初次学习阶段所达到的最大值
    Simulations of “learning-forgetting-relearning” process when τmin+ = 0.2 s, τmax+ = 0.1 s, and τw+ takes different values: (a) τw+ = 0.15 s; (b) τw+ = 0.06 s; (c) τw+ = 0.01 s. The maximum value of w during the first learning period is marked by a dashed line.τmin+ = 0.2 s, τmax+ = 0.1 s, τw+取不同值时的“学习-遗忘-再学习”实验仿真结果 (a) τw+ = 0.15 s; (b) τw+ = 0.06 s; (c) τw+ = 0.01 s. 虚线标出w在初次学习阶段所达到的最大值
    Fig. 6. Simulations of “learning-forgetting-relearning” process when τmin+ = 0.2 s, τmax+ = 0.1 s, and τw+ takes different values: (a) τw+ = 0.15 s; (b) τw+ = 0.06 s; (c) τw+ = 0.01 s. The maximum value of w during the first learning period is marked by a dashed line. τmin+ = 0.2 s, τmax+ = 0.1 s, τw+取不同值时的“学习-遗忘-再学习”实验仿真结果 (a) τw+ = 0.15 s; (b) τw+ = 0.06 s; (c) τw+ = 0.01 s. 虚线标出w在初次学习阶段所达到的最大值
    Simulations of “learning-forgetting-relearning” process when τw+ = 0.15 s, τmin+ = 0.1 s, and τmax+ takes different values: (a) τmax+ = 0.1 s; (b) τmax+ = 0.05 s; (c) τmax+ = 0.003 s; (d) simulation of “learning-forgetting-relearning” process when wmax = 1, and other parameters are the same as those used in (a)−(c). The maximum value ofw during the first learning period is marked by a dashed line.τw+ = 0.15 s, τmin+ = 0.1 s, τmax+取不同值时的“学习-遗忘-再学习”实验仿真结果 (a) τmax+ = 0.1 s; (b) τmax+ = 0.05 s; (c) τmax+ = 0.003 s; (d) 当wmax为常数1, 模型其他参数与(a)−(c)相同时的“学习-遗忘-再学习”实验仿真结果. 虚线标出w在初次学习阶段所达到的最大值
    Fig. 7. Simulations of “learning-forgetting-relearning” process when τw+ = 0.15 s, τmin+ = 0.1 s, and τmax+ takes different values: (a) τmax+ = 0.1 s; (b) τmax+ = 0.05 s; (c) τmax+ = 0.003 s; (d) simulation of “learning-forgetting-relearning” process when wmax = 1, and other parameters are the same as those used in (a)−(c). The maximum value ofw during the first learning period is marked by a dashed line. τw+ = 0.15 s, τmin+ = 0.1 s, τmax+取不同值时的“学习-遗忘-再学习”实验仿真结果 (a) τmax+ = 0.1 s; (b) τmax+ = 0.05 s; (c) τmax+ = 0.003 s; (d) 当wmax为常数1, 模型其他参数与(a)−(c)相同时的“学习-遗忘-再学习”实验仿真结果. 虚线标出w在初次学习阶段所达到的最大值
    Change of the conductive channel and its surrounding area during different periods of the “learning-forgetting-relearning” process: (a) The first learning process; (b) the forgetting process; (c) the memory recovery period of the relearning process.忆阻器两电极间导电通道及其周围区域在“学习-遗忘-再学习”实验中的变化情况 (a) 初次学习阶段; (b) 遗忘阶段; (c) 再次学习的记忆恢复阶段
    Fig. 8. Change of the conductive channel and its surrounding area during different periods of the “learning-forgetting-relearning” process: (a) The first learning process; (b) the forgetting process; (c) the memory recovery period of the relearning process.忆阻器两电极间导电通道及其周围区域在“学习-遗忘-再学习”实验中的变化情况 (a) 初次学习阶段; (b) 遗忘阶段; (c) 再次学习的记忆恢复阶段
    初次学习 脉冲数量 记忆遗忘量a)记忆恢复 脉冲数量
    a) “记忆遗忘量”是根据各个文献中所报道的“学习-遗忘-再学习”实验的遗忘曲线, 对于记忆的遗忘量占初次学习所形成的记忆总量的比例给出估计, 各个数据前的“~”表示该数据是根据实验曲线所得的估计值. b) 在文献[2730]所报道的实验中经历了多次“遗忘”与“再学习”过程, 表中对这几篇文献依次给出每次遗忘过程的遗忘比例, 以及每次再学习阶段的记忆恢复所经历的脉冲数量.
    文献[21] 80~50%4
    文献[22] 50~35%7
    文献[23] 80~80%12
    文献[24] 50~80%20
    文献[25] 30~80%20
    文献[26] 50~75%25
    文献[27]b)40~60%, ~40%9, 4
    文献[28]b)40~50%, ~40%16, 6
    文献[29]b)50~40%, ~30%, ~29%, ~20%18, 12, 8
    文献[30]b)50~80%, ~55%, ~25%25, 12, 5
    Table 1. Experimental data of “learning-forgetting-relearning” experiment in References [2130].
    Nan Shao, Sheng-Bing Zhang, Shu-Yuan Shao. Analysis of memristor model with learning-experience behavior[J]. Acta Physica Sinica, 2019, 68(19): 198502-1
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