Botha A E, Ansariara M, Emadi S, Kolahchi M R
Department of Physics, Science Campus, University of South Africa, Private Bag X6, Johannesburg, South Africa.
Department of Physics, Institute for Advanced Studies in Basic Sciences, Zanjan, Iran.
Front Comput Neurosci. 2022 Jun 23;16:888019. doi: 10.3389/fncom.2022.888019. eCollection 2022.
The union of the Kuramoto-Sakaguchi model and the Hebb dynamics reproduces the Lisman switch through a bistability in synchronized states. Here, we show that, within certain ranges of the frustration parameter, the chimera pattern can emerge, causing a different, time-evolving, distribution in the Hebbian synaptic strengths. We study the stability range of the chimera as a function of the frustration (phase-lag) parameter. Depending on the range of the frustration, two different types of chimeras can appear spontaneously, i.e., from randomized initial conditions. In the first type, the oscillators in the coherent region rotate, on average, slower than those in the incoherent region; while in the second type, the average rotational frequencies of the two regions are reversed, i.e., the coherent region runs, on average, faster than the incoherent region. We also show that non-stationary behavior at finite can be controlled by adjusting the natural frequency of a single pacemaker oscillator. By slowly cycling the frequency of the pacemaker, we observe hysteresis in the system. Finally, we discuss how we can have a model for learning and memory.
仓本-坂口模型与赫布动力学的结合通过同步状态下的双稳性再现了利斯曼开关。在此，我们表明，在挫折参数的特定范围内，奇异斑图能够出现，从而在赫布突触强度中引发一种不同的、随时间演化的分布。我们研究奇异斑图作为挫折（相位滞后）参数函数的稳定范围。根据挫折的范围，两种不同类型的奇异斑图能够自发出现，即从随机初始条件开始。在第一种类型中，相干区域内的振荡器平均旋转速度比非相干区域内的振荡器慢；而在第二种类型中，两个区域的平均旋转频率相反，即相干区域平均运行速度比非相干区域快。我们还表明，通过调整单个起搏器振荡器的固有频率，可以控制有限 时的非平稳行为。通过缓慢循环起搏器的频率，我们观察到系统中的滞后现象。最后，我们讨论如何能够拥有一个学习和记忆模型。
