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arXiv · 2212.01250

Discontinuous codimension-two bifurcation in a Vlasov equation

Yoshiyuki Y. Yamaguchi·Julien Barré
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Abstract

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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Yoshiyuki Y. Yamaguchi, Julien Barré. 2022-11-21. Discontinuous codimension-two bifurcation in a Vlasov equation. https://doi.org/10.1103/physreve.107.054203

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