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Pré-Publication, Document De Travail Année : 2023

Exponential stable manifold for some linear system with application to the mean field models

Résumé

We study the existence of the exponential stable manifold for some linear system and we give some proprieties. We apply the results to the mean field systems similar to the Winfree model in the synchronized state. More precisely, we study it linearized system. This method can be applied to more generalized mean field models.
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Dates et versions

hal-04198672 , version 1 (07-09-2023)
hal-04198672 , version 2 (11-09-2023)
hal-04198672 , version 3 (08-03-2024)

Identifiants

  • HAL Id : hal-04198672 , version 2

Citer

W Oukil. Exponential stable manifold for some linear system with application to the mean field models: Exponential stability for the mean field system. 2023. ⟨hal-04198672v2⟩
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