title: Switching synchronization in one-dimensional memristive networks.
abstract: We report on a switching synchronization phenomenon in one-dimensional memristive networks, which occurs when several memristive systems with different switching constants are switched from the high- to low-resistance state. Our numerical simulations show that such a collective behavior is especially pronounced when the applied voltage slightly exceeds the combined threshold voltage of memristive systems. Moreover, a finite increase in the network switching time is found compared to the average switching time of individual systems. An analytical model is presented to explain our observations. Using this model, we have derived asymptotic expressions for memory resistances at short and long times, which are in excellent agreement with results of our numerical simulations.
authors.affiliation: Department of Physics and Technology, V. N. Karazin Kharkov National University, Kharkov 61022, Ukraine.
authors.forename: Valeriy A
authors.initials: VA
authors.lastname: Slipko
authors.affiliation: Department of Physics and Technology, V. N. Karazin Kharkov National University, Kharkov 61022, Ukraine.
authors.forename: Mykola
authors.initials: M
authors.lastname: Shumovskyi
authors.affiliation: Department of Physics and Astronomy and Smart State Center for Experimental Nanoscale Physics, University of South Carolina, Columbia, South Carolina 29208, USA.
authors.forename: Yuriy V
authors.initials: YV
authors.lastname: Pershin