3 papers
math.AP2026
Diffusion stabilises time-periodic solutions in conservation laws coupled to a relaxation oscillator
Julien Barré, Nils Berglund, Hiroshi Horii
We study a viscous one-dimensional conservation law, coupled to a fast ordinary differential equation. For a vanishing viscosity, the system has an infinite-dimensional family of t…
nlin.PS2025
Universality of discontinuous bifurcations in collisionless dynamics
Yoshiyuki Y. Yamaguchi, Julien Barré
We investigate the universality in collisionless nonlinear dynamics of a codimension-two bifurcation where two eigenvalues collide at the origin, and two lines of continuous bifurc…
nlin.PS2019
Towards a classification of bifurcations in Vlasov equations
Julien Barré, David Métivier, Yoshiyuki Y. Yamaguchi
We propose a classification of bifurcations of Vlasov equations, based on the strength of the resonance between the unstable mode and the continuous spectrum on the imaginary axis.…