Multiplexing-based control of wavefront propagation: The interplay of inter-layer coupling, asymmetry and noise

• Published in: Chaos, solitons and fractals Vol. 173; p. 113656
• Main Authors: Semenov, Vladimir V., Jalan, Sarika, Zakharova, Anna
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.08.2023
• Subjects: Bistability; Coarsening; Control; Multiplexing; Wavefront propagation; Multiplexing; Control; Wavefront propagation; Coarsening; Bistability
• ISSN: 0960-0779; 1873-2887
• DOI: 10.1016/j.chaos.2023.113656

We show how multiplexing influences propagating fronts in multilayer networks of coupled bistable oscillators. Using numerical simulation, we investigate both deterministic and noise-sustained propagation. In particular, we demonstrate that the multiplexing allows to reduce the intra-layer dynamics to a common regime where the front propagation speed in all the interacting layers attains the same fixed value. In the presence of noise the dynamics is more complicated and is characterized by the ability of the system to adjust to the common propagation speed for varying the multiplexing strength. In addition, we find that the noise-induced stabilization of wavefront propagation in multilayer networks allows to obtain less pronounced deviations of the wavefront compared to the stabilization achieved in the isolated layer. Finally, we demonstrate that the reduction of the wavefront deviations can be enhanced by increasing the number of interacting layers. •Multiplexing can induce wavefront propagation in multilayer networks.•Multiplexing provides for controlling wavefront propagation.•Increasing the number of interacting layers reduces the deviations of wavefronts.