Work

Amplitude enhancements through rewiring of a non-autonomous delay system

Year: 2025

Type: article

Abstract: 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 dynamical oscillations. This phenomenon arises in this context when an appropriate amount of delay is present in the feedback line. Our findings highlight the potential of this minimalistic mechanism to generate high-amplitude dynamical oscillations from much smaller amplitude units, drawing a physical analogy to rewiring feedback lines.

Source: Chaos An Interdisciplinary Journal of Nonlinear Science

DOI: 10.1063/5.0252300

Authors: Kenta Ohira, Toru Ohira, Hideki Ohira

Institution: Nagoya University

Language: English

Topic: Nonlinear Dynamics and Pattern Formation

Subfield: Computer Networks and Communications

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: Toyota Motor Corporation, Japan Society for the Promotion of Science, Research Institute for Mathematical Sciences, Division of Mathematical Sciences

Awards: G5090975350, Inferential apparatuses producing predictions: perspectives from literature, mathematics, the history of art, the history of philosophy of science, and cognitive science