AUTHOR=Lanza Valentina , Secco Jacopo , Corinto Fernando 

TITLE=Blinking Networks of Memristor Oscillatory Circuits in the Flux-Charge Domain

JOURNAL=Frontiers in Neuroscience

VOLUME=Volume 15 - 2021

YEAR=2021

URL=https://www.frontiersin.org/journals/neuroscience/articles/10.3389/fnins.2021.618607

DOI=10.3389/fnins.2021.618607

ISSN=1662-453X

ABSTRACT=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 (Kumar et al., 2017) based on the interconnection of single– device oscillators. It is well-know 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
Belykh et al (Belykh et al., 2004a) has shown that blinking complex networks are able to
completely synchronize faster with respect to other coupling strategies. This work focuses
on blinking complex networks made of memristor oscillators. By exploiting the recent Flux–
Charge Analysis Method, we make clear that synchronization phenomena in 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 memristor oscillatory circuits prove that
synchronization phenomena can be controlled just by changing the coupling amongst
them.