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math.DS2018
Invariant cone and synchronization state stability of the mean field models
W Oukil, Ph Thieullen, A Kessi
In this article we prove the stability of mean field systems as the Winfree model in the synchronized state. The model is governed by the coupling strength parameter and the na…
math.DS2018
Quasi-periodic motions on symplectic tori
Mauricio Garay, Arezki Kessi, Duco van Straten +1
The KAM (Kolmogorov-Arnold-Moser) theorem guarantees the stability of quasi-periodic invariant tori by perturbation in some Hamiltonian systems. Michel Herman proved a similar resu…