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Pré-Publication, Document De Travail Année : 2024

Reduction and Analysis of Networks of Nonlinear Oscillators under Weak Coupling Gain

Résumé

We analyze the behavior of Stuart-Landau oscillator networks interconnected with low coupling gain. It is known in the literature that when the coupling gain is sufficiently high, full synchronization takes place between the different oscillators in the network. In this paper, we are interested in the case where the coupling gain is not sufficiently high, we propose a method for reducing the network using the spectral properties of the Laplacian, which can then be used to analyze the possible exhibited behaviors. Secondly, and still in order to analyze the network’s behavior via the proposed reduced model, we analyze the effect of an oscillation frequency perturbation in the first oscillator on the network as a whole.

Domaines

Automatique
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Dates et versions

hal-04609528 , version 1 (12-06-2024)

Identifiants

  • HAL Id : hal-04609528 , version 1

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Anes Lazri, Antonio Loria, Elena Panteley. Reduction and Analysis of Networks of Nonlinear Oscillators under Weak Coupling Gain. 2024. ⟨hal-04609528⟩
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