Article Dans Une Revue Physical Review E Année : 2023

Discontinuous codimension-two bifurcation in a Vlasov equation

Résumé

In a Vlasov equation, the destabilization of a homogeneous stationary state is typically described by a continuous bifurcation characterized by strong resonances between the unstable mode and the continuous spectrum. However, when the reference stationary state has a flat top, it is known that resonances drastically weaken, and the bifurcation becomes discontinuous. In this article, we use a combination of analytical tools and precise numerical simulations to demonstrate that this behavior is related to a codimension-two bifurcation, which we study in details.

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hal-04824876 , version 1 (07-12-2024)

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Yoshiyuki Yamaguchi, Julien Barré. Discontinuous codimension-two bifurcation in a Vlasov equation. Physical Review E , 2023, 107 (5), pp.054203. ⟨10.1103/PhysRevE.107.054203⟩. ⟨hal-04824876⟩
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