Lanza Valentina, Secco Jacopo, Corinto Fernando
LMAH, FR-CNRS-3335, Université Le Havre Normandie, Le Havre, France.
Department of Electronics, Politecnico di Torino, Turin, Italy.
Front Neurosci. 2021 Apr 22;15:618607. doi: 10.3389/fnins.2021.618607. eCollection 2021.
Multistability phenomena and complex nonlinear dynamics in memristor oscillators pave the way to obtain efficient solutions to optimization problems by means of novel computational architectures based on the interconnection of single-device oscillators. It is well-known that topological properties of interconnections permit to control synchronization and spatio-temporal patterns in oscillatory networks. When the interconnections can change in time with a given probability to connect two oscillators, the whole network acts as a complex network with blinking couplings. The work of has shown that a particular class of are able to completely synchronize in a faster fashion with respect to other coupling strategies. This work focuses on the specific class of blinking complex networks made of Memristor-based Oscillatory Circuits (MOCs). By exploiting the recent Flux-Charge Analysis Method, we make clear that synchronization phenomena in blinking networks of memristor oscillators having stochastic couplings, i.e., Blinking Memristor Oscillatory Networks (BMONs), correspond to global periodic oscillations on invariant manifolds and the effect of a blinking link is to shift the nonlinear dynamics through the infinite (invariant) manifolds. Numerical simulations performed on MOCs prove that synchronization phenomena can be controlled just by changing the coupling amongst them.
忆阻器振荡器中的多稳定性现象和复杂非线性动力学，为通过基于单器件振荡器互连的新型计算架构获得优化问题的有效解决方案铺平了道路。众所周知，互连的拓扑特性允许控制振荡网络中的同步和时空模式。当互连能够以给定概率随时间变化以连接两个振荡器时，整个网络就充当具有闪烁耦合的复杂网络。[相关工作]表明，特定类别的[某种情况]能够相对于其他耦合策略以更快的方式完全同步。这项工作专注于由基于忆阻器的振荡电路（MOC）构成的特定类别的闪烁复杂网络。通过利用最近的通量 - 电荷分析方法，我们明确了具有随机耦合的忆阻器振荡器闪烁网络（即闪烁忆阻器振荡网络，BMON）中的同步现象对应于不变流形上的全局周期振荡，并且闪烁链接的作用是通过无限（不变）流形来改变非线性动力学。在MOC上进行的数值模拟证明，仅通过改变它们之间的耦合就可以控制同步现象。
