A stochastic approach to the synchronization of coupled oscillators
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2020-06-19
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Frontiers Media S.A.
Resumen
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.
Palabras clave
Coupled oscillators
Kuramoto model
Optimal control
Synchronization
Gradient descent
Random batch method
Kuramoto model
Optimal control
Synchronization
Gradient descent
Random batch method
Descripción
Materias
Cita
Biccari, U., & Zuazua, E. (2020). A stochastic approach to the synchronization of coupled oscillators. Frontiers in Energy Research, 8. https://doi.org/10.3389/FENRG.2020.00115