2 problems

Let a tropical dynamical system have a tropical singularity at $(u_0,v_0)$ of sink, source, or saddle type. Let $X$ be a neighborhood of $(u_0,v_0)$. Tropical singularity persisten…

Let a tropical dynamical system have a hyperbolic crossing cycle $\gamma_0$. Crossing-cycle persistence conjecture. For all $0<\epsilon\ll 1$, the associated smooth system has a li…