Author, as appears in the article.: Skardal, Per Sebastian; Arenas, Alex
Department: Enginyeria Informàtica i Matemàtiques
URV's Author/s: Arenas Moreno, Alejandro
Abstract: The control of network-coupled nonlinear dynamical systems is an active area of research in the nonlinear science community. Coupled oscillator networks represent a particularly important family of nonlinear systems, with applications ranging from the power grid to cardiac excitation. Here, we study the control of network-coupled limit cycle oscillators, extending the previous work that focused on phase oscillators. Based on stabilizing a target fixed point, our method aims to attain complete frequency synchronization, i.e., consensus, by applying control to as few oscillators as possible. We develop two types of controls. The first type directs oscillators towards larger amplitudes, while the second does not. We present numerical examples of both control types and comment on the potential failures of the method.
Thematic Areas: Statistical and nonlinear physics Physics, mathematical Physics and astronomy (miscellaneous) Physics and astronomy (all) Medicine (miscellaneous) Medicina veterinaria Medicina ii Mathematics, applied Mathematical physics Matemática / probabilidade e estatística Interdisciplinar Geociências General physics and astronomy Engenharias iv Engenharias iii Engenharias ii Engenharias i Ciências ambientais Ciência da computação Astronomia / física Applied mathematics
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: alexandre.arenas@urv.cat
Author identifier: 0000-0003-0937-0334
Record's date: 2024-09-28
Papper version: info:eu-repo/semantics/acceptedVersion
Link to the original source: https://pubs.aip.org/aip/cha/article-abstract/26/9/094812/136163/On-controlling-networks-of-limit-cycle-oscillators?redirectedFrom=fulltext
Licence document URL: https://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Chaos. 26 (9): 94812-
APA: Skardal, Per Sebastian; Arenas, Alex (2016). On controlling networks of limit-cycle oscillators.. Chaos, 26(9), 94812- . DOI: 10.1063/1.4954273
Article's DOI: 10.1063/1.4954273
Entity: Universitat Rovira i Virgili
Journal publication year: 2016
Publication Type: Journal Publications
Repositori URV