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Pré-Publication, Document De Travail Année : 2015

Periodic locked orbit in the Winfree Model with N oscillators

Résumé

We give in this paper a sufficient condition for the existence of locked state in finite dimensional Winfree model independently of choice of natural frequencies and the number of oscillators. The main result consists to prove the existence of periodic orbit in a torus which is equivalent to the existence of rotation vectors, the proof in this paper can be applied to more generalized Winfree model.
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Dates et versions

hal-01175759 , version 1 (15-07-2015)
hal-01175759 , version 2 (22-07-2015)
hal-01175759 , version 3 (16-02-2016)
hal-01175759 , version 4 (15-07-2016)

Identifiants

Citer

W Oukil, A Kessi, P Thieullen. Periodic locked orbit in the Winfree Model with N oscillators: Synchronization in Winfree model with N oscillators. 2015. ⟨hal-01175759v2⟩
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