A Stochastic Approach to the Synchronization of Coupled Oscillators

Biccari U, Zuazua E (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Frontiers in Energy Research Frontiers

Book Volume: 8

DOI: 10.3389/fenrg.2020.00115

Abstract

This paper deals with an optimal control problem associated with 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

University of Deusto / Universidad de Deusto ES Spain (ES)

How to cite

APA:

Biccari, U., & Zuazua, E. (2020). A Stochastic Approach to the Synchronization of Coupled Oscillators. Frontiers in Energy Research, 8. https://dx.doi.org/10.3389/fenrg.2020.00115

MLA:

Biccari, Umberto, and Enrique Zuazua. "A Stochastic Approach to the Synchronization of Coupled Oscillators." Frontiers in Energy Research 8 (2020).

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