3 problems

Supercritical degenerate Hopf-bifurcation conjecture. At the parameter value $h=h_H$ and solution $w=w^{c_1(h_H),d}$, the canonical equation, and hence the original car-following e…

Bistability conjecture. There exists a choice of parameters such that $u^\star$ is locally asymptotically stable but not globally asymptotically stable. The $\omega$-limit set also…

Consider the random dynamical system induced by the stochastic differential equation in the paper, and fix $a>0$ and $\beta\in\mathbb{R}$. Let $\lambda_{\rm top}$ denote its top Ly…