A stochastic approach to the synchronization of coupled oscillators
Biccari U, Zuazua E (2020)
Publication Language: English
Publication Type: Other publication type
Publication year: 2020
Abstract
This paper deals with an optimal control problem associated to the Kuramoto model describing the dynamical behavior of a network of coupled oscillators. Our aim is to design a suitable control function allowing us to steer the system to a synchronized configuration in which all the oscillators are aligned on the same phase. This control is computed via the minimization of a given cost functional associated with the dynamics considered. For this minimization, we propose a novel approach based on the combination of a standard Gradient Descent (GD) methodology with the recently-developed Random Batch Method (RBM) for the efficient numerical approximation of collective dynamics. Our simulations show that the employment of RBM improves the performances of the GD algorithm, reducing the computational complexity of the minimization process and allowing for a more efficient control calculation.
Authors with CRIS profile
Enrique Zuazua Iriondo
Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Involved external institutions
Spain (ES)How to cite
APA:
Biccari, U., & Zuazua, E. (2020). A stochastic approach to the synchronization of coupled oscillators.
MLA:
Biccari, Umberto, and Enrique Zuazua. A stochastic approach to the synchronization of coupled oscillators. 2020.
BibTeX: Download