Synchronization of Memristively Couples Oscillator Networks – Theory and Emulation

基本的学习机制是指同步模式，其中各个神经元的信号是同步的。不同的耦合机制、互连拓扑结构和分布时延决定了系统的同步能力。这些都是解决在这个项目中的振荡器网络与忆阻和电抗耦合元件动态适应图形。有条理的方法是互补的，并结合控制理论的概念，网络的结构分析和推导的设计规则，确保和实现同步与面向电路的概念波数字仿真合成和评估电路的相互作用的网络，涉及忆阻双端口。除了有限维振荡器模型的常微分方程，连续模型涉及偏微分方程将被认为是解决大型合奏的分布式振荡器和他们的自组织。所开发的分析、设计和合成技术将在数值模拟和波浪数字仿真中进行评估。

Basic learning mechanisms refer to synchronization patterns, where the signals of the individual neurons are synchronized. The synchronization ability results from different coupling mechanisms, the interconnection topology and distributed delays. These are addressed in this project in terms of oscillator networks with memristive and reactive coupling elements resulting in dynamically adapting graphs. The methodical approach is complementary and combines control theoretic concepts for the structural analysis of the network and the deduction of design rules ensuring and enabling synchronization with circuit oriented concepts of wave digital emulation to synthesize and to evaluate electric circuit interactions of networks involving memristive two-ports. In addition to finite-dimensional oscillator models in terms of ordinary differential equations continuum models involving partial differential equations will be considered to address large ensembles of distributed oscillators and their self-organization. The developed analysis, design and synthesis techniques will be evaluated in numerical simulations and wave digital emulations.