Discontinuous codimension-two bifurcation in a Vlasov equation
Pattern Formation and Solitons
2023-05-17 v1
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.
Cite
@article{arxiv.2212.01250,
title = {Discontinuous codimension-two bifurcation in a Vlasov equation},
author = {Yoshiyuki Y. Yamaguchi and Julien Barré},
journal= {arXiv preprint arXiv:2212.01250},
year = {2023}
}
Comments
14 pages, 10 figures