Discontinuous codimension-two bifurcation in a Vlasov equation
arXiv:2212.01250 · doi:10.1103/PhysRevE.107.054203
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.
14 pages, 10 figures
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