2 problems

Conjecture on transitory canard and saddle-node canard cycles
Transitory canard cycles conjecture. There exist values of $\varepsilon>0$ and $k\approx 1$ such that the corresponding system exhibits one, two, or three canard limit cycles in a…
openbifurcation-theory canard-cycles piecewise-linear-systems
0 responses
02
Braga–Mello conjecture on arbitrary numbers of limit cycles
Braga–Mello conjecture. Given $n\in\mathbb{N}$ , there is a piecewise linear system with two zones in the plane with exactly $n$ limit cycles.
opendynamical-systems limit-cycles piecewise-linear-systems
0 responses
04

Conjecture on transitory canard and saddle-node canard cycles