Periodic systems have new classes of synchronization stability
Year: 2024
Type: article
Abstract: The master stability function is a robust and useful tool for determining the conditions of synchronization stability in a network of coupled systems. While a comprehensive classification exists in the case in which the nodes are chaotic dynamical systems, its application to periodic systems has been less explored. By studying several well-known periodic systems, we establish a comprehensive framework to understand and classify their properties of synchronizability. This allows us to define five distinct classes of synchronization stability, including some that are unique to periodic systems. Specifically, in periodic systems, the master stability function vanishes at the origin, and it can therefore display behavioral classes that are not achievable in chaotic systems, where it starts, instead, at a strictly positive value. Moreover, our results challenge the widely held belief that periodic systems are easily put in a stable synchronous state, showing, instead, the common occurrence of a lower threshold for synchronization stability. Published by the American Physical Society 2024
Source: Physical Review Research
Institutions: Amirkabir University of Technology, SRM Institute of Science and Technology, Easwari Engineering College, Trakia University, University of Electronic Science and Technology of China, University of Trento, North University of China, Ningbo University of Technology, Institute for Complex Systems
Language: English
Subfield: Computer Networks and Communications
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Awards: G1183549354, G1997484483, G7418901304
OpenAlex ID: W4404064688