2024/11/04 by Ohira, Kenta, Toru Ohira, Ohira, Toru +2
Engineering · #Adaptation and Self-Organizing Systems (nlin.AO) #Advanced Photonic Communication Systems #FOS: Physical sciences #Optical Network Technologies #Photonic and Optical Devices
paper · pdf · doi:10.48550/arxiv.2411.01965
openalex publication_date 2024/11/04 · openalex created_date 2024/11/14 · openalex updated_date 2026/07/28
Complex systems, such as biological networks, often exhibit intricate rhythmic behaviors that emerge from simple, small-amplitude dynamics in individual components. This study explores how significant oscillatory signals can arise from a minimal system consisting of just two interacting units, each governed by a simple non-autonomous delay differential equation with a recently obtained exact analytical solution. Contrary to the common assumption that large-scale oscillations require numerous units, our model demonstrates that rewiring two units from self-feedback to cross-feedback can generate robust, finite-amplitude oscillations. With time delay, these interacting units produce strongly amplified oscillatory packets compared to self-feedback configurations. Our findings highlight the potential of this minimalistic mechanism for generating complex rhythmic outputs, with implications for oscillatory signal processing and various other applications.