Shifts in global network dynamics due to small changes at single nodes

Author(s)

Rossi, Kalel L. ; Budzinski, Roberto C. ; Boaretto, Bruno R. R. ; Muller, Lyle E. ; Feudel, Ulrike

• Document type: Journal article
• Source: PHYSICAL REVIEW RESEARCH; v. 5, n. 1, p. 17-pg., 2023-03-30.

Abstract

Understanding the sensitivity of a system's behavior with respect to parameter changes is essential for many applications. This sensitivity may be desired-for instance, in the brain, where a large repertoire of different dy-namics, particularly different synchronization patterns, is crucial-or may be undesired-for instance, in power grids, where disruptions to synchronization may lead to blackouts. In this paper, we show that networks of cou-pled phase oscillators with nonlinear interactions can acquire a very large and complicated sensitivity to changes made in either their units' parameters or in their connections. Even modifications made to a parameter of a single unit can radically alter the global dynamics of the network in an unpredictable manner. This occurs over a wide parameter region, around the network's transitions to phase synchronization. We argue that this is a widespread phenomenon that can be expected in real-world systems, extending even beyond networks of oscillators. (AU)

• FAPESP's process: 21/09839-0 - The role of synaptic current in synchronizing of neuronal networks
• Grantee: Bruno Rafael Reichert Boaretto
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• FAPESP's process: 18/03211-6 - Non linear dynamics
• Grantee: Iberê Luiz Caldas
• Support Opportunities: Research Projects - Thematic Grants